-
1
-
-
0022768316
-
A moving finite element method with error estimation and refinement for one-dimensional time dependent partial differential equations
-
S. Adjerid and J. E. Flaherty (1986), 'A moving finite element method with error estimation and refinement for one-dimensional time dependent partial differential equations', SIAM J. Numer. Anal. 23, 778-795.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 778-795
-
-
Adjerid, S.1
Flaherty, J.E.2
-
3
-
-
0033279255
-
Domain deformation mapping: Application to variational mesh generation
-
V. F. Almeida (1999), 'Domain deformation mapping: Application to variational mesh generation', SIAM J. Sci Comput. 20, 1252-1275.
-
(1999)
SIAM J. Sci Comput.
, vol.20
, pp. 1252-1275
-
-
Almeida, V.F.1
-
4
-
-
0009026194
-
The use of solution adaptive grids in solving partial differential equations
-
J. H. Thompson, ed
-
D. A. Anderson and M. M. Rai (1983), The use of solution adaptive grids in solving partial differential equations, in Numerical Grid Generation (J. H. Thompson, ed.), pp. 317-338.
-
(1983)
Numerical Grid Generation
, pp. 317-338
-
-
Anderson, D.A.1
Rai, M.M.2
-
5
-
-
0042611999
-
On the convergence, uniform with respect to a small parameter, of monotone three-point difference approximations
-
V. B. Andreev and N. B. Kopteva (1998), 'On the convergence, uniform with respect to a small parameter, of monotone three-point difference approximations', Diff. Urav. 34, 921-929.
-
(1998)
Diff. Urav.
, vol.34
, pp. 921-929
-
-
Andreev, V.B.1
Kopteva, N.B.2
-
9
-
-
77949584205
-
Equidistribution and the Legendre transformation
-
University of Reading
-
M. J. Baines and S. L. Wakelin (1991), Equidistribution and the Legendre transformation. Numerical Analysis report 4/91, University of Reading.
-
(1991)
Numerical Analysis Report 4/91
-
-
Baines, M.J.1
Wakelin, S.L.2
-
10
-
-
20444446370
-
A moving mesh finite strategy for the adaptive solution of time-dependent partial differential equations with moving boundaries
-
M. J. Baines, M. E. Hubbard, and P. K. Jimack (2005), 'A moving mesh finite strategy for the adaptive solution of time-dependent partial differential equations with moving boundaries', Appl. Numer. Math. 54, 450-469.
-
(2005)
Appl. Numer. Math.
, vol.54
, pp. 450-469
-
-
Baines, M.J.1
Hubbard, M.E.2
Jimack, P.K.3
-
11
-
-
30744468145
-
Scaleinvariant moving finite elements for nonlinear partial differential equations in two dimensions
-
M. J. Baines, M. E. Hubbard, P. K. Jimack, and A. C. Jones (2006), 'Scaleinvariant moving finite elements for nonlinear partial differential equations in two dimensions', Appl. Numer. Math. 56, 230-252.
-
(2006)
Appl. Numer. Math.
, vol.56
, pp. 230-252
-
-
Baines, M.J.1
Hubbard, M.E.2
Jimack, P.K.3
Jones, A.C.4
-
12
-
-
0022676208
-
A competitive (dual) simplex method for the assignment problem
-
M. L. Balinski (1986), 'A competitive (dual) simplex method for the assignment problem', Math. Program. 34, 125-141.
-
(1986)
Math. Program.
, vol.34
, pp. 125-141
-
-
Balinski, M.L.1
-
13
-
-
0001309061
-
Mesh smoothing using a posteriori error estimates
-
R. E. Bank and R. K. Smith (1997), 'Mesh smoothing using a posteriori error estimates', SIAM J. Numer. Anal. 34, 979-997.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 979-997
-
-
Bank, R.E.1
Smith, R.K.2
-
15
-
-
0034300742
-
Convergence analysis of finite-difference approximations on equidistributed grids to a singularly perturbed boundary value problem
-
G. Beckett and J. A. Mackenzie (2000), 'Convergence analysis of finite-difference approximations on equidistributed grids to a singularly perturbed boundary value problem', Appl. Numer. Math. 35, 87-109.
-
(2000)
Appl. Numer. Math.
, vol.35
, pp. 87-109
-
-
Beckett, G.1
MacKenzie, J.A.2
-
16
-
-
0035361441
-
On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution
-
G. Beckett and J. A. Mackenzie (2001a), 'On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution', J. Comput. Appl. Math. 131, 381-405.
-
(2001)
J. Comput. Appl. Math.
, vol.131
, pp. 381-405
-
-
Beckett, G.1
MacKenzie, J.A.2
-
17
-
-
0035479597
-
Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution
-
G. Beckett and J. A. Mackenzie (2001b), 'Uniformly convergent high order finite element solutions of a singularly perturbed reaction-diffusion equation using mesh equidistribution', Appl. Numer. Math. 39, 31-45.
-
(2001)
Appl. Numer. Math.
, vol.39
, pp. 31-45
-
-
Beckett, G.1
MacKenzie, J.A.2
-
18
-
-
0000402730
-
A moving mesh finite element method for the solution of two-dimensional Stefan problems
-
G. Beckett, J. A. Mackenzie and M. L. Robertson (2001a), 'A moving mesh finite element method for the solution of two-dimensional Stefan problems', J. Comput. Phys. 186, 500-518.
-
(2001)
J. Comput. Phys.
, vol.186
, pp. 500-518
-
-
Beckett, G.1
MacKenzie, J.A.2
Robertson, M.L.3
-
19
-
-
0001689357
-
On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
-
G. Beckett, J. A. Mackenzie, A. Ramage and D. M. Sloan (2001b), 'On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution', J. Comput. Phys. 167, 372-392.
-
(2001)
J. Comput. Phys.
, vol.167
, pp. 372-392
-
-
Beckett, G.1
MacKenzie, J.A.2
Ramage, A.3
Sloan, D.M.4
-
20
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
J. D. Benamou and Y. Brenier (2000), 'A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem', Numer. Math. 84, 375-393.
-
(2000)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.D.1
Brenier, Y.2
-
21
-
-
84990610650
-
A rescaling algorithm for the numerical calculation of blowing-up solutions
-
M. Berger and R. Kohn (1988), 'A rescaling algorithm for the numerical calculation of blowing-up solutions', Comm. Pure. Appl. Math. 41, 841-863.
-
(1988)
Comm. Pure. Appl. Math.
, vol.41
, pp. 841-863
-
-
Berger, M.1
Kohn, R.2
-
22
-
-
0032205858
-
A solution-based triangular and tetrahedral mesh quality indicator
-
M. Berzins (1998), 'A solution-based triangular and tetrahedral mesh quality indicator', SIAM J. Sci. Comput. 19, 2051-2060.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 2051-2060
-
-
Berzins, M.1
-
23
-
-
0041047983
-
On the use of the arclength and curvature monitor in a moving grid method which is based on the method of lines
-
CWI, Amsterdam
-
J. G. Blom and J. G. Verwer (1989), On the use of the arclength and curvature monitor in a moving grid method which is based on the method of lines. Technical Report NM-N8902, CWI, Amsterdam.
-
(1989)
Technical Report NM-N8902
-
-
Blom, J.G.1
Verwer, J.G.2
-
24
-
-
0000348871
-
Analysis and computation of adaptive moving grids by deformation
-
P. Bochev, G. Liao and G. d. Pena (1996), 'Analysis and computation of adaptive moving grids by deformation', Numer. Methods PDEs 12, 489-506.
-
(1996)
Numer. Methods PDEs
, vol.12
, pp. 489-506
-
-
Bochev, P.1
Liao, G.2
Pena, G.D.3
-
26
-
-
0002255324
-
An adaptive grid with directional control
-
J. U. Brackbill (1993), 'An adaptive grid with directional control', J. Comput. Phys. 108, 38-50.
-
(1993)
J. Comput. Phys.
, vol.108
, pp. 38-50
-
-
Brackbill, J.U.1
-
27
-
-
49049134162
-
Adaptive zoning for singular problems in two dimensions
-
J. U. Brackbill and J. S. Saltzman (1982), 'Adaptive zoning for singular problems in two dimensions', J. Comput. Phys. 46, 342-368.
-
(1982)
J. Comput. Phys.
, vol.46
, pp. 342-368
-
-
Brackbill, J.U.1
Saltzman, J.S.2
-
28
-
-
29044440937
-
A local cell quality metric and variational grid smoothing algorithm
-
Sandia National Laboratories, Albuquerque, NM
-
L. Branets and G. F. Carey (2003), A local cell quality metric and variational grid smoothing algorithm, in Proc. 12th International Meshing Roundtable, Sandia National Laboratories, Albuquerque, NM.
-
(2003)
Proc. 12th International Meshing Roundtable
-
-
Branets, L.1
Carey, G.F.2
-
29
-
-
84990623199
-
Polar factorization and monotone rearrangement of vectorvalued functions
-
Y. Brenier (1991), 'Polar factorization and monotone rearrangement of vectorvalued functions', Comm. Pure Appl. Math. 44, 375-417.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 375-417
-
-
Brenier, Y.1
-
30
-
-
0035824457
-
Symmetry adapted moving mesh schemes for the nonlinear Schrödinger equation
-
C. J. Budd and V. A. Dorodnitsyn (2001), 'Symmetry adapted moving mesh schemes for the nonlinear Schrödinger equation', J. Phys. A 34, 103887-110400
-
(2001)
J. Phys. A
, vol.34
, pp. 103887-110400
-
-
Budd, C.J.1
Dorodnitsyn, V.A.2
-
31
-
-
1042300924
-
Geometric integration and its applications
-
F. Cucker, ed
-
C. J. Budd and M. D. Piggott (2005), Geometric integration and its applications, in Handbook of Numerical Analysis (F. Cucker, ed.), pp. 35-139.
-
(2005)
Handbook of Numerical Analysis
, pp. 35-139
-
-
Budd, C.J.1
Piggott, M.D.2
-
32
-
-
33646255211
-
Parabolic Monge-Amp̀ere methods for blow-up problems in several spatial dimensions
-
C. J. Budd and J. F. Williams (2006), 'Parabolic Monge-Amp̀ere methods for blow-up problems in several spatial dimensions', J. Phys. A 39, 5425-5444.
-
(2006)
J. Phys. A
, vol.39
, pp. 5425-5444
-
-
Budd, C.J.1
Williams, J.F.2
-
34
-
-
0000458449
-
Moving mesh methods for problems with blow-up
-
C. J. Budd, W. Z. Huang, and R. D. Russell (1996), 'Moving mesh methods for problems with blow-up', SIAM J. Sci. Comput. 17, 305-327.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 305-327
-
-
Budd, C.J.1
Huang, W.Z.2
Russell, R.D.3
-
35
-
-
0001689908
-
New self-similar solutions of the nonlinear Schrödinger equation, with moving mesh computations
-
C. J. Budd, S.-N. Chen and R. D. R. Russell (1999a), 'New self-similar solutions of the nonlinear Schrödinger equation, with moving mesh computations', J. Comput. Phys. 152, 756-789.
-
(1999)
J. Comput. Phys.
, vol.152
, pp. 756-789
-
-
Budd, C.J.1
Chen, S.-N.2
Russell, R.D.R.3
-
36
-
-
0347599386
-
Self-similar discrete solutions of the porous medium equation
-
C. J. Budd, G. J. Collins, W.-Z. Huang and R. D. Russell (1999b), 'Self-similar discrete solutions of the porous medium equation', Philos. Trans. Roy. Soc. London A 357, 1047-1078.
-
(1999)
Philos. Trans. Roy. Soc. London A
, vol.357
, pp. 1047-1078
-
-
Budd, C.J.1
Collins, G.J.2
Huang, W.-Z.3
Russell, R.D.4
-
37
-
-
0035545998
-
Scaling invariance and adaptivity
-
C. J. Budd, B. Leimkuhler, and M. D. Piggott (2001), 'Scaling invariance and adaptivity', Appl. Numer. Math. 39, 261-288.
-
(2001)
Appl. Numer. Math.
, vol.39
, pp. 261-288
-
-
Budd, C.J.1
Leimkuhler, B.2
Piggott, M.D.3
-
38
-
-
2442638579
-
Self-similar blow-up in higher-order semilinear parabolic equations
-
C. J. Budd, V. A. Galaktionov and J. F. Williams (2004), 'Self-similar blow-up in higher-order semilinear parabolic equations', SIAM J. Appl. Math. 64, 1775-1809.
-
(2004)
SIAM J. Appl. Math.
, vol.64
, pp. 1775-1809
-
-
Budd, C.J.1
Galaktionov, V.A.2
Williams, J.F.3
-
39
-
-
10244229064
-
Precise computations of chemotactic collapse using moving mesh methods
-
C. J. Budd, R. Carretero-Gonzalez, and R. D. Russell (2005), 'Precise computations of chemotactic collapse using moving mesh methods', J. Comput. Phys. 202, 462-487.
-
(2005)
J. Comput. Phys.
, vol.202
, pp. 462-487
-
-
Budd, C.J.1
Carretero-Gonzalez, R.2
Russell, R.D.3
-
41
-
-
84968482174
-
The regularity of mappings with a convex potential
-
L. A. Caffarelli (1992), 'The regularity of mappings with a convex potential', J. Amer. Math. Soc. 5, 99-104.
-
(1992)
J. Amer. Math. Soc.
, vol.5
, pp. 99-104
-
-
Caffarelli, L.A.1
-
42
-
-
0030366438
-
Boundary regularity of maps with convex potentials
-
L. A. Caffarelli (1996), 'Boundary regularity of maps with convex potentials', Ann. of Math. 3, 453-496.
-
(1996)
Ann. of Math.
, vol.3
, pp. 453-496
-
-
Caffarelli, L.A.1
-
43
-
-
14644440890
-
Adaptive grid generation based on the least squares finite element method
-
X. Cai, D. Fleitas, B. Jiang and G. Liao (2004), 'Adaptive grid generation based on the least squares finite element method', Comput. Math. Appl. 48, 1077-1085.
-
(2004)
Comput. Math. Appl.
, vol.48
, pp. 1077-1085
-
-
Cai, X.1
Fleitas, D.2
Jiang, B.3
Liao, G.4
-
44
-
-
56349111880
-
Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains
-
D. A. Calhoun, C. Helzel and R. J. LeVeque (2008), 'Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains', SIAM Review 50, 723-752.
-
(2008)
SIAM Review
, vol.50
, pp. 723-752
-
-
Calhoun, D.A.1
Helzel, C.2
Leveque, R.J.3
-
45
-
-
33644529423
-
On the error of linear interpolation and the orientation, aspect ratio and internal angles of a triangle
-
W. Cao (2005), 'On the error of linear interpolation and the orientation, aspect ratio and internal angles of a triangle', SIAM J. Numer. Anal. 43, 19-40.
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, pp. 19-40
-
-
Cao, W.1
-
46
-
-
55549126280
-
An interpolation error estimate on anisotropic meshes in Rn and optimal metrics for mesh refinement
-
W. Cao (2007a), 'An interpolation error estimate on anisotropic meshes in Rn and optimal metrics for mesh refinement', SIAM J. Numer. Anal. 45, 2368-2391
-
(2007)
SIAM J. Numer. Anal.
, vol.45
, pp. 2368-2391
-
-
Cao, W.1
-
47
-
-
41449085933
-
Anisotropic measures of third order derivatives and the quadratic interpolation error on triangular elements
-
W. Cao (2007b), 'Anisotropic measures of third order derivatives and the quadratic interpolation error on triangular elements', SIAM J. Sci. Comput. 29, 756-781.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 756-781
-
-
Cao, W.1
-
48
-
-
38849178116
-
2 based on the anisotropic measures of higher order derivatives
-
2 based on the anisotropic measures of higher order derivatives', Math. Comput. 77, 265-286.
-
(2008)
Math. Comput.
, vol.77
, pp. 265-286
-
-
Cao, W.1
-
49
-
-
0000359177
-
An r-adaptive finite element method based upon moving mesh PDEs
-
W. Cao, W. Huang, and R. D. Russell (1999a), 'An r-adaptive finite element method based upon moving mesh PDEs', J. Comput. Phys. 149, 221-244.
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 221-244
-
-
Cao, W.1
Huang, W.2
Russell, R.D.3
-
50
-
-
0033294022
-
A study of monitor functions for two-dimensional adaptive mesh generation
-
W. Cao, W. Huang, and R. D. Russell (1999b), 'A study of monitor functions for two-dimensional adaptive mesh generation', SIAM J. Sci. Comput. 20, 1978-1994.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 1978-1994
-
-
Cao, W.1
Huang, W.2
Russell, R.D.3
-
51
-
-
0037252816
-
A moving mesh method based on the geometric conservation law
-
W. Cao, W. Huang, and R. D. Russell (2002), 'A moving mesh method based on the geometric conservation law', SIAM J. Sci. Comput. 24, 118-142.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 118-142
-
-
Cao, W.1
Huang, W.2
Russell, R.D.3
-
52
-
-
0141924673
-
Approaches for generating moving adaptive meshes: Location versus velocity
-
W. Cao, W. Huang, and R. D. Russell (2003), 'Approaches for generating moving adaptive meshes: Location versus velocity', Appl. Numer. Math. 47, 121-138.
-
(2003)
Appl. Numer. Math.
, vol.47
, pp. 121-138
-
-
Cao, W.1
Huang, W.2
Russell, R.D.3
-
55
-
-
11744295460
-
Design and application of a gradient-weighted moving finite element code I: In 1-D
-
N. Carlson and K. Miller (1998a), 'Design and application of a gradient-weighted moving finite element code I: In 1-D', SIAM J. Sci. Comput. 19, 728-765.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 728-765
-
-
Carlson, N.1
Miller, K.2
-
56
-
-
0001070724
-
Design and application of a gradient-weighted moving finite element code II: In 2-D
-
N. Carlson and K. Miller (1998b), 'Design and application of a gradient-weighted moving finite element code II: In 2-D', SIAM J. Sci. Comput. 19, 766-798.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 766-798
-
-
Carlson, N.1
Miller, K.2
-
57
-
-
0141759471
-
A semi-implicit moving mesh method for the focusing nonlinear Schrödinger equation
-
H. D. Ceniceros (2002), 'A semi-implicit moving mesh method for the focusing nonlinear Schrödinger equation', Comm. Pure Appl. Anal. 4, 1-14.
-
(2002)
Comm. Pure Appl. Anal.
, vol.4
, pp. 1-14
-
-
Ceniceros, H.D.1
-
58
-
-
0035922234
-
An efficient dynamically adaptive mesh for potentially singular solutions
-
H. D. Ceniceros and T. Y. Hou (2001), 'An efficient dynamically adaptive mesh for potentially singular solutions', J. Comput. Phys. 172, 609-639.
-
(2001)
J. Comput. Phys.
, vol.172
, pp. 609-639
-
-
Ceniceros, H.D.1
Hou, T.Y.2
-
59
-
-
29144530996
-
A fully implicit, nonlinear adaptive grid strategy
-
L. Chaćon and G. Lapenta (2006), 'A fully implicit, nonlinear adaptive grid strategy', J. Comput. Phys. 212, 703-717.
-
(2006)
J. Comput. Phys.
, vol.212
, pp. 703-717
-
-
Chaćon, L.1
Lapenta, G.2
-
61
-
-
0001545240
-
Error equidistribution and mesh adaptation
-
K. Chen (1994), 'Error equidistribution and mesh adaptation', SIAM J. Sci. Comput. 15, 798-818.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 798-818
-
-
Chen, K.1
-
62
-
-
34248592637
-
Optimal anisotropic meshes for minimizing interpolation errors in the Lp-norm
-
L. Chen, P. Sun and J. Xu (2007), 'Optimal anisotropic meshes for minimizing interpolation errors in the Lp-norm', Math. Comput. 76, 179-204.
-
(2007)
Math. Comput.
, vol.76
, pp. 179-204
-
-
Chen, L.1
Sun, P.2
Xu, J.3
-
63
-
-
77949585038
-
Legendre transform solutions to semigeostrophic frontogenesis
-
T. J. Chung and G. R. Kerr, eds
-
S. Chynoweth and M. J. Baines (1989), Legendre transform solutions to semigeostrophic frontogenesis, in Finite Element Analysis in Fluids (T. J. Chung and G. R. Kerr, eds), pp. 697-703.
-
(1989)
Finite Element Analysis in Fluids
, pp. 697-703
-
-
Chynoweth, S.1
Baines, M.J.2
-
64
-
-
0003279791
-
Dual variables in semigeostrophic theory
-
S. Chynoweth and M. J. Sewell (1989), 'Dual variables in semigeostrophic theory', Proc. R. Soc. London A 424, 155-186.
-
(1989)
Proc. R. Soc. London A
, vol.424
, pp. 155-186
-
-
Chynoweth, S.1
Sewell, M.J.2
-
65
-
-
38249021457
-
Implicit finite difference methods for modelling discontinuous atmospheric flows
-
M. J. P. Cullen (1989), 'Implicit finite difference methods for modelling discontinuous atmospheric flows', J. Comput. Phys. 81, 319-348.
-
(1989)
J. Comput. Phys.
, vol.81
, pp. 319-348
-
-
Cullen, M.J.P.1
-
67
-
-
0021641025
-
An extended Lagrangian theory of semigeostrophic frontogenesis
-
M. J. P. Cullen and R. J. Purser (1984), 'An extended Lagrangian theory of semigeostrophic frontogenesis', J. Atmos. Sci. 41, 1477-1497.
-
(1984)
J. Atmos. Sci.
, vol.41
, pp. 1477-1497
-
-
Cullen, M.J.P.1
Purser, R.J.2
-
68
-
-
0026112879
-
Generalised Lagrangian solutions for atmospheric and oceanic flows
-
M. J. P. Cullen, J. Norbury, and R. J. Purser (1991), 'Generalised Lagrangian solutions for atmospheric and oceanic flows', SIAM J. Appl. Math. 51, 20-31.
-
(1991)
SIAM J. Appl. Math.
, vol.51
, pp. 20-31
-
-
Cullen, M.J.P.1
Norbury, J.2
Purser, R.J.3
-
70
-
-
0038783139
-
Numerical solution of the two-dimensional elliptic Monge-Amp̀ere equation with Dirichlet boundary conditions: An augmented Lagrangian approach
-
E. Dean and R. Glowinski (2003), 'Numerical solution of the two-dimensional elliptic Monge-Amp̀ere equation with Dirichlet boundary conditions: An augmented Lagrangian approach', Comptes rendus Math́ematique 336, 779-784.
-
(2003)
Comptes Rendus Math́ematique
, vol.336
, pp. 779-784
-
-
Dean, E.1
Glowinski, R.2
-
71
-
-
10644254249
-
Numerical solution of the two-dimensional elliptic Monge-Amp̀ere equation with Dirichlet boundary conditions: A leastsquares approach
-
E. Dean and R. Glowinski (2004), 'Numerical solution of the two-dimensional elliptic Monge-Amp̀ere equation with Dirichlet boundary conditions: A leastsquares approach', Comptes rendus Math́ematique 339, 887-892.
-
(2004)
Comptes Rendus Math́ematique
, vol.339
, pp. 887-892
-
-
Dean, E.1
Glowinski, R.2
-
72
-
-
53349146583
-
An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization
-
G. Delzanno, L. Chaćon, J. Finn, Y. Chung and G. Lapenta (2008), 'An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization', J. Comput. Phys. 227, 9841-9864.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 9841-9864
-
-
Delzanno, G.1
Chaćon, L.2
Finn, J.3
Chung, Y.4
Lapenta, G.5
-
73
-
-
19744364449
-
Moving mesh finite element methods for the incompressible Navier-Stokes equations
-
Y. Di, R. Li, T. Tang and P. Zhang (2005), 'Moving mesh finite element methods for the incompressible Navier-Stokes equations', SIAM J. Sci. Comput. 26, 1036-1056.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 1036-1056
-
-
Di, Y.1
Li, R.2
Tang, T.3
Zhang, P.4
-
74
-
-
0001121137
-
Simple adaptive grids for 1-D initial value problems
-
E. A. Dorfi and L. O'C. Drury (1987), 'Simple adaptive grids for 1-D initial value problems', J. Comput. Phys. 69, 175-195.
-
(1987)
J. Comput. Phys.
, vol.69
, pp. 175-195
-
-
Dorfi, E.A.1
O'C. Drury, L.2
-
75
-
-
0001158863
-
Transformation groups in mesh spaces
-
V. A. Dorodnitsyn (1991), 'Transformation groups in mesh spaces', J. Sov. Math. 55, 1490-1517.
-
(1991)
J. Sov. Math.
, vol.55
, pp. 1490-1517
-
-
Dorodnitsyn, V.A.1
-
76
-
-
0002424922
-
Finite-difference models exactly inheriting symmetry of original differential equations
-
(N. Ibragimov et al., eds), Kluwer, Dordrecht
-
V. A. Dorodnitsyn (1993a), Finite-difference models exactly inheriting symmetry of original differential equations, in Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics (N. Ibragimov et al., eds), Kluwer, Dordrecht, pp. 191-201.
-
(1993)
Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics
, pp. 191-201
-
-
Dorodnitsyn, V.A.1
-
77
-
-
0000759240
-
Finite difference analog of the Noether theorem
-
V. A. Dorodnitsyn (1993b), 'Finite difference analog of the Noether theorem', Dokl. Akad. Nauk 328, 678-690.
-
(1993)
Dokl. Akad. Nauk
, vol.328
, pp. 678-690
-
-
Dorodnitsyn, V.A.1
-
79
-
-
0000379994
-
Adaptive grid generation from harmonic maps on Riemannian manifolds
-
A. S. Dvinsky (1991), 'Adaptive grid generation from harmonic maps on Riemannian manifolds', J. Comput. Phys. 95, 450-476.
-
(1991)
J. Comput. Phys.
, vol.95
, pp. 450-476
-
-
Dvinsky, A.S.1
-
80
-
-
0021825901
-
Grid generation for fluid mechanics computation
-
P. R. Eisman (1985), 'Grid generation for fluid mechanics computation', Ann. Rev. Fluid Mech. 17, 487-522.
-
(1985)
Ann. Rev. Fluid Mech.
, vol.17
, pp. 487-522
-
-
Eisman, P.R.1
-
82
-
-
0003073688
-
Partial differential equations and Monge-Kantorovich mass transfer
-
(Cambridge, MA), International Press, Boston, MA
-
L. C. Evans (1999), Partial differential equations and Monge-Kantorovich mass transfer, in Current Developments in Mathematics, 1997 (Cambridge, MA), International Press, Boston, MA, pp. 65-126.
-
(1999)
Current Developments in Mathematics, 1997
, pp. 65-126
-
-
Evans, L.C.1
-
83
-
-
59349099761
-
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations
-
to appear
-
X. Feng and M. Neilan (2009), 'Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations', J. Sci. Comput., to appear.
-
(2009)
J. Sci. Comput.
-
-
Feng, X.1
Neilan, M.2
-
84
-
-
33750969064
-
Spectral implementation of an adaptive moving mesh method for phase-field equations
-
W. M. Feng, P. Yu, S. Y. Hu, Z. K. Liu, Q. Du and L. Q. Chen (2006), 'Spectral implementation of an adaptive moving mesh method for phase-field equations', J. Comput. Phys. 220, 498-510.
-
(2006)
J. Comput. Phys.
, vol.220
, pp. 498-510
-
-
Feng, W.M.1
Yu, P.2
Hu, S.Y.3
Liu, Z.K.4
Du, Q.5
Chen, L.Q.6
-
85
-
-
0024909432
-
Multigrid solution of the semigeostrophic invertibility relation
-
S. Fulton (1989), 'Multigrid solution of the semigeostrophic invertibility relation', Monthly Weather Review 117, 2059-2066.
-
(1989)
Monthly Weather Review
, vol.117
, pp. 2059-2066
-
-
Fulton, S.1
-
86
-
-
0001103156
-
The geometry of optimal transport
-
W. Gangbo and R. J. McCann (1996), 'The geometry of optimal transport', Acta Math. 177, 113-161.
-
(1996)
Acta Math
, vol.177
, pp. 113-161
-
-
Gangbo, W.1
McCann, R.J.2
-
88
-
-
77949536472
-
On the Monge-Kantorovich problem and image warping
-
Springer, New York
-
S. Haker and A. Tannenbaum (2003), On the Monge-Kantorovich problem and image warping, in Mathematical Methods in Computer Vision, Vol.133 of IMA Vol. Math. Appl., Springer, New York, pp. 65-85.
-
(2003)
Mathematical Methods in Computer Vision, Vol.133 of IMA Vol. Math. Appl.
, pp. 65-85
-
-
Haker, S.1
Tannenbaum, A.2
-
89
-
-
0000664743
-
Review of some adaptive node-movement techniques in finite element and finite difference solutions of PDEs
-
D. F. Hawken, J. J. Gottlieb and J. S. Hansen (1991), 'Review of some adaptive node-movement techniques in finite element and finite difference solutions of PDEs', J. Comput. Phys. 95, 254-302.
-
(1991)
J. Comput. Phys.
, vol.95
, pp. 254-302
-
-
Hawken, D.F.1
Gottlieb, J.J.2
Hansen, J.S.3
-
91
-
-
0000311286
-
Practical aspects of formulation and solution of moving mesh partial differential equations
-
W. Huang (2001a), 'Practical aspects of formulation and solution of moving mesh partial differential equations', J. Comput. Phys. 171, 753-775.
-
(2001)
J. Comput. Phys.
, vol.171
, pp. 753-775
-
-
Huang, W.1
-
92
-
-
0035842844
-
Variational mesh adaption: Isotropy and equidistribution
-
W. Huang (2001b), 'Variational mesh adaption: Isotropy and equidistribution', J. Comput. Phys. 174, 903-924.
-
(2001)
J. Comput. Phys.
, vol.174
, pp. 903-924
-
-
Huang, W.1
-
93
-
-
25444533561
-
Measuring mesh qualities and application to variational mesh adaption
-
W. Huang (2005a), 'Measuring mesh qualities and application to variational mesh adaption', SIAM J. Sci. Comput. 26, 1643-1666.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 1643-1666
-
-
Huang, W.1
-
94
-
-
15944411787
-
Metric tensors for anisotropic mesh generation
-
W. Huang (2005b), 'Metric tensors for anisotropic mesh generation', J. Comput. Phys. 204, 663-665.
-
(2005)
J. Comput. Phys.
, vol.204
, pp. 663-665
-
-
Huang, W.1
-
95
-
-
39449133992
-
Convergence analysis of finite element solution of onedimensional singularly perturbed differential equations on equidistributing meshes
-
W. Huang (2005c), 'Convergence analysis of finite element solution of onedimensional singularly perturbed differential equations on equidistributing meshes', Internat. J. Numer. Anal. Model. 2, 57-74.
-
(2005)
Internat. J. Numer. Anal. Model.
, vol.2
, pp. 57-74
-
-
Huang, W.1
-
96
-
-
77949628616
-
-
(T. Tang and J. Xu, eds) Science Press, Beijing
-
W. Huang (2007), Anisotropic mesh adaption and movement, in Adaptive Computations: Theory and Algorithms (T. Tang and J. Xu, eds), Science Press, Beijing, pp. 68-158.
-
(2007)
Anisotropic Mesh Adaption and Movement, in Adaptive Computations: Theory and Algorithms
, pp. 68-158
-
-
Huang, W.1
-
98
-
-
77949592758
-
An anisotropic mesh adaptation method for the finite element solution of variational problems
-
to appear
-
W. Huang and X. P. Li (2009), 'An anisotropic mesh adaptation method for the finite element solution of variational problems', Finite Elements in Analysis and Design, to appear.
-
(2009)
Finite Elements in Analysis and Design
-
-
Huang, W.1
Li, X.P.2
-
99
-
-
0030081518
-
A moving collocation method for solving time dependent partial differential equations
-
W. Huang and R. D. Russell (1996), 'A moving collocation method for solving time dependent partial differential equations', Appl. Numer. Math. 20, 101-116.
-
(1996)
Appl. Numer. Math.
, vol.20
, pp. 101-116
-
-
Huang, W.1
Russell, R.D.2
-
100
-
-
0000448909
-
Analysis of moving mesh partial differential equations with spatial smoothing
-
W. Huang and R. D. Russell (1997a), 'Analysis of moving mesh partial differential equations with spatial smoothing', SIAM J. Numer. Anal. 34, 1106-1126.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1106-1126
-
-
Huang, W.1
Russell, R.D.2
-
101
-
-
0031644105
-
A high dimensional moving mesh strategy
-
W. Huang and R. D. Russell (1997b), 'A high dimensional moving mesh strategy', Appl. Numer. Math. 26, 63-76.
-
(1997)
Appl. Numer. Math.
, vol.26
, pp. 63-76
-
-
Huang, W.1
Russell, R.D.2
-
102
-
-
0032226429
-
A moving mesh strategy based on a gradient flow equation for two-dimensional problems
-
W. Huang and R. D. Russell (1999), 'A moving mesh strategy based on a gradient flow equation for two-dimensional problems', SIAM J. Sci. Comput. 20, 998-1015.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 998-1015
-
-
Huang, W.1
Russell, R.D.2
-
103
-
-
0035281883
-
Adaptive mesh movement: The MMPDE approach and its applications
-
W. Huang and R. D. Russell (2001) 'Adaptive mesh movement: The MMPDE approach and its applications', J. Comput. Appl. Math. 128, 383-398.
-
(2001)
J. Comput. Appl. Math.
, vol.128
, pp. 383-398
-
-
Huang, W.1
Russell, R.D.2
-
104
-
-
0001354685
-
A simple adaptive grid method in two dimensions
-
W. Huang and D. Sloan (1994), 'A simple adaptive grid method in two dimensions', SIAM J. Sci. Comput. 15, 776-797.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 776-797
-
-
Huang, W.1
Sloan, D.2
-
105
-
-
0037455650
-
Variational mesh adaption II: Error estimates and monitor functions
-
W. Huang and W. Sun (2003), 'Variational mesh adaption II: Error estimates and monitor functions', J. Comput. Phys. 184, 619-648.
-
(2003)
J. Comput. Phys.
, vol.184
, pp. 619-648
-
-
Huang, W.1
Sun, W.2
-
107
-
-
0028446372
-
Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle
-
W. Huang, Y. Ren, and R. D. Russell (1994), 'Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle', SIAM J. Numer. Anal. 31, 709-730.
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, pp. 709-730
-
-
Huang, W.1
Ren, Y.2
Russell, R.D.3
-
108
-
-
0037143777
-
Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts
-
W. Huang, L. Zheng and X. Zhan (2002), 'Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts', Internat. J. Numer. Meth. Engng 54, 1579-1603.
-
(2002)
Internat. J. Numer. Meth. Engng
, vol.54
, pp. 1579-1603
-
-
Huang, W.1
Zheng, L.2
Zhan, X.3
-
109
-
-
44149119741
-
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
-
W. Huang, J. Ma and R. D. Russell (2008), 'A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations', J. Comput. Phys. 227, 6532-6552.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 6532-6552
-
-
Huang, W.1
Ma, J.2
Russell, R.D.3
-
111
-
-
0013396588
-
Dynamic rezone methods for partial differential equations in one space dimension
-
Los Alamos National laboratory, Los Alamos, NM
-
J. M. Hyman and B. Larrouturou (1986), Dynamic rezone methods for partial differential equations in one space dimension. Technical Report LA-UR-86-1678, Los Alamos National laboratory, Los Alamos, NM.
-
(1986)
Technical Report LA-UR-86-1678
-
-
Hyman, J.M.1
Larrouturou, B.2
-
112
-
-
0041047951
-
Dynamic rezone methods for partial differential equations in one space dimension
-
J. M. Hyman and B. Larrouturou (1989), 'Dynamic rezone methods for partial differential equations in one space dimension', Appl. Numer. Math. 5, 435-450.
-
(1989)
Appl. Numer. Math.
, vol.5
, pp. 435-450
-
-
Hyman, J.M.1
Larrouturou, B.2
-
113
-
-
0023961604
-
A mechanical model for a new grid generation method in computational fluid dynamics
-
O.-P. Jacquotte (1988), 'A mechanical model for a new grid generation method in computational fluid dynamics', Comput. Methods Appl. Mech. Engrg 66, 323-338.
-
(1988)
Comput. Methods Appl. Mech. Engrg
, vol.66
, pp. 323-338
-
-
Jacquotte, O.-P.1
-
114
-
-
0027007188
-
Structured mesh adaption: Space accuracy and interpolation methods
-
O.-P. Jacquotte and G. Coussement(1992), 'Structured mesh adaption: Space accuracy and interpolation methods', Comput. Methods Appl. Mech. Engrg 101, 397-432.
-
(1992)
Comput. Methods Appl. Mech. Engrg
, vol.101
, pp. 397-432
-
-
Jacquotte, O.-P.1
Coussement, G.2
-
116
-
-
0032154770
-
Computing the Kantorovich distance for images
-
T. Kaijser (1998), 'Computing the Kantorovich distance for images', J. Math. Imaging Vision 9, 173-191.
-
(1998)
J. Math. Imaging Vision
, vol.9
, pp. 173-191
-
-
Kaijser, T.1
-
119
-
-
0000712022
-
Mesh generation using vector fields
-
P. M. Knupp (1995), 'Mesh generation using vector fields', J. Comput. Phys. 119, 142-148.
-
(1995)
J. Comput. Phys.
, vol.119
, pp. 142-148
-
-
Knupp, P.M.1
-
120
-
-
0000870626
-
Jacobian-weighted elliptic grid generation
-
P. M. Knupp (1996), 'Jacobian-weighted elliptic grid generation', SIAM J. Sci. Comput. 17, 1475-1490.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 1475-1490
-
-
Knupp, P.M.1
-
121
-
-
0036211805
-
Algebraic mesh quality metrics
-
P. M. Knupp (2001), 'Algebraic mesh quality metrics', SIAM J. Sci. Comput. 23, 193-218.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 193-218
-
-
Knupp, P.M.1
-
122
-
-
0034505846
-
A framework for variational grid generation: Conditioning the Jacobian matrix with matrix norms
-
P. Knupp and N. Robidoux (2000), 'A framework for variational grid generation: Conditioning the Jacobian matrix with matrix norms', SIAM J. Sci. Comput. 21, 2029-2047.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 2029-2047
-
-
Knupp, P.1
Robidoux, N.2
-
124
-
-
0037050821
-
Reference Jacobian optimization-based rezoning strategies for arbitrary Lagrangian Eulerian methods
-
P. M. Knupp, L. Margolin and M. Shashkov (2002), 'Reference Jacobian optimization-based rezoning strategies for arbitrary Lagrangian Eulerian methods', J. Comput. Phys. 176, 93-128.
-
(2002)
J. Comput. Phys.
, vol.176
, pp. 93-128
-
-
Knupp, P.M.1
Margolin, L.2
Shashkov, M.3
-
125
-
-
77949583458
-
Convergence theory of moving grid methods
-
(T. Tang and J. Xu, eds) Science Press, Beijing
-
N. Kopteva (2007), Convergence theory of moving grid methods, in Adaptive Computations: Theory and Algorithms (T. Tang and J. Xu, eds), Science Press, Beijing, pp. 159-210.
-
(2007)
Adaptive Computations: Theory and Algorithms
, pp. 159-210
-
-
Kopteva, N.1
-
126
-
-
0035453019
-
A robust adaptive method for a quasilinear onedimensional convection-diffusion problem
-
N. Kopteva and M. Stynes (2001), 'A robust adaptive method for a quasilinear onedimensional convection-diffusion problem', SIAM J. Numer. Anal. 39, 1446-1467.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1446-1467
-
-
Kopteva, N.1
Stynes, M.2
-
128
-
-
0038517141
-
A two-dimensional moving finite element method with local refinement based on a posteriori error estimates
-
J. Lang, W. Cao, W. Huang and R. D. Russell (2003), 'A two-dimensional moving finite element method with local refinement based on a posteriori error estimates', Appl. Numer. Math. 46, 75-94.
-
(2003)
Appl. Numer. Math.
, vol.46
, pp. 75-94
-
-
Lang, J.1
Cao, W.2
Huang, W.3
Russell, R.D.4
-
129
-
-
33750377995
-
Cost-effectiveness of fully implicit moving mesh adaptation: A practical investigation in 1D
-
G. Lapenta and L. Chaćon (2006), 'Cost-effectiveness of fully implicit moving mesh adaptation: A practical investigation in 1D', J. Comput. Phys. 219, 86-103.
-
(2006)
J. Comput. Phys.
, vol.219
, pp. 86-103
-
-
Lapenta, G.1
Chaćon, L.2
-
131
-
-
0037052068
-
A moving mesh finite element algorithm for singular problems in two and three space dimensions
-
R. Li, T. Tang, and P.-W. Zhang (2002), 'A moving mesh finite element algorithm for singular problems in two and three space dimensions', J. Comput. Phys. 177, 365-393.
-
(2002)
J. Comput. Phys.
, vol.177
, pp. 365-393
-
-
Li, R.1
Tang, T.2
Zhang, P.-W.3
-
132
-
-
0000394103
-
Moving mesh methods with upwinding schemes for time dependent PDEs
-
S. T. Li and L. R. Petzold (1997), 'Moving mesh methods with upwinding schemes for time dependent PDEs', J. Comput Phys. 131, 368-377.
-
(1997)
J. Comput Phys.
, vol.131
, pp. 368-377
-
-
Li, S.T.1
Petzold, L.R.2
-
133
-
-
0032228619
-
Stability of moving mesh systems of partial differential equations
-
S. T. Li, L. R. Petzold and Y. Ren (1998), 'Stability of moving mesh systems of partial differential equations', SIAM J. Sci. Comput. 20, 719-738.
-
(1998)
SIAM J. Sci. Comput.
, vol.20
, pp. 719-738
-
-
Li, S.T.1
Petzold, L.R.2
Ren, Y.3
-
134
-
-
0000802396
-
A new approach to grid generation
-
G. Liao and D. Anderson (1992), 'A new approach to grid generation', Appl. Anal. 44, 285-297.
-
(1992)
Appl Anal.
, vol.44
, pp. 285-297
-
-
Liao, G.1
Anderson, D.2
-
135
-
-
33745269168
-
Moving meshes by the deformation method
-
G. Liao and J. Xue (2006), 'Moving meshes by the deformation method', J. Comput. Appl. Math. 195, 83-92.
-
(2006)
J. Comput. Appl. Math.
, vol.195
, pp. 83-92
-
-
Liao, G.1
Xue, J.2
-
137
-
-
0000714820
-
Relationship between tetrahedron quality measures
-
A. Liu and B. Joe (1994), 'Relationship between tetrahedron quality measures', BIT 34, 268-287.
-
(1994)
BIT
, vol.34
, pp. 268-287
-
-
Liu, A.1
Joe, B.2
-
138
-
-
0033112611
-
Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid
-
J. Mackenzie (1999), 'Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid', IMA J. Numer. Anal. 19, 233-249.
-
(1999)
IMA J. Numer. Anal.
, vol.19
, pp. 233-249
-
-
MacKenzie, J.1
-
139
-
-
60649110806
-
-
(T. Tang and J. Xu, eds), Science Press, Beijing
-
J. A. Mackenzie and W. R. Mekwi (2007a), On the use of moving mesh methods to solve PDEs, in Adaptive Computations: Theory and Algorithms (T. Tang and J. Xu, eds), Science Press, Beijing, pp. 242-278.
-
(2007)
On the Use of Moving Mesh Methods to Solve PDEs, in Adaptive Computations: Theory and Algorithms
, pp. 242-278
-
-
MacKenzie, J.A.1
Mekwi, W.R.2
-
140
-
-
34547739491
-
An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh
-
J. A. Mackenzie and W. R. Mekwi (2007b), 'An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh', IMA J. Numer. Anal. 27, 507-528.
-
(2007)
IMA J. Numer. Anal.
, vol.27
, pp. 507-528
-
-
MacKenzie, J.A.1
Mekwi, W.R.2
-
141
-
-
0037144945
-
A moving mesh method for the solution of the one-dimensional phase-field equations
-
J. A. Mackenzie and M. L. Robertson (2002), 'A moving mesh method for the solution of the one-dimensional phase-field equations', J. Comput. Phys. 181, 526-544.
-
(2002)
J. Comput. Phys.
, vol.181
, pp. 526-544
-
-
MacKenzie, J.A.1
Robertson, M.L.2
-
142
-
-
34249766017
-
Symplectic integration of Hamiltonian wave equations
-
R. I. McLachlan (1994), 'Symplectic integration of Hamiltonian wave equations', Numer. Math. 66, 465-492.
-
(1994)
Numer. Math.
, vol.66
, pp. 465-492
-
-
McLachlan, R.I.1
-
143
-
-
0001439303
-
Local piecewise hyperbolic resolution of numerical fluxes for nonlinear scalar conservation laws
-
A. Marquina (1994), 'Local piecewise hyperbolic resolution of numerical fluxes for nonlinear scalar conservation laws', SIAM J. Sci. Comput. 15, 894-904.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 894-904
-
-
Marquina, A.1
-
144
-
-
0003242869
-
Numerical modeling of NAPL dissolution fingering in porous media
-
(H. M. Selim and L. Ma, eds), Ann Arbor Press
-
C. T. Miller, S. N. Gleyzer and P. T. Imhoff (1998), Numerical modeling of NAPL dissolution fingering in porous media, in Physical Nonequilibrium in Soils: Modeling and Application (H. M. Selim and L. Ma, eds), Ann Arbor Press.
-
(1998)
Physical Nonequilibrium in Soils: Modeling and Application
-
-
Miller, C.T.1
Gleyzer, S.N.2
Imhoff, P.T.3
-
145
-
-
0001296580
-
Moving finite elements II
-
K. Miller (1981), 'Moving finite elements II', SIAM J. Numer. Anal. 18, 1033-1057.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 1033-1057
-
-
Miller, K.1
-
147
-
-
0003004870
-
Adaptive local overlapping grid methods for parabolic system in two space dimensions
-
P. K. Moore and J. E. Flaherty (1992), 'Adaptive local overlapping grid methods for parabolic system in two space dimensions', J. Comput. Phys. 98, 54-63.
-
(1992)
J. Comput. Phys.
, vol.98
, pp. 54-63
-
-
Moore, P.K.1
Flaherty, J.E.2
-
148
-
-
84968494100
-
On the volume elements of a manifold
-
J. Moser (1965), 'On the volume elements of a manifold', Trans. Amer. Math. Soc. 120, 286-294.
-
(1965)
Trans. Amer. Math. Soc.
, vol.120
, pp. 286-294
-
-
Moser, J.1
-
149
-
-
0000990612
-
Pseudospectral solution of near-singular problems using numerical coordinate transformations based on adaptivity
-
L. S. Mulholland, W. Huang and D. M. Sloan (1998), 'Pseudospectral solution of near-singular problems using numerical coordinate transformations based on adaptivity', SIAM J. Sci. Comput. 19, 1261-1298.
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, pp. 1261-1298
-
-
Mulholland, L.S.1
Huang, W.2
Sloan, D.M.3
-
150
-
-
0028590372
-
Nonlinear equilibriation of two-dimensional Eady waves', Simulations with viscous geostrophic momentum equations
-
N. Nakamura (1994), 'Nonlinear equilibriation of two-dimensional Eady waves', Simulations with viscous geostrophic momentum equations', J. Atmos. Sci. 51, 1023-1035.
-
(1994)
J. Atmos. Sci.
, vol.51
, pp. 1023-1035
-
-
Nakamura, N.1
-
151
-
-
34249964909
-
On the numerical solution of the equation (?2z/?x2)(?2z/?y2) ? ((?2z/?x?y))2 = f and its discretizations i
-
V. I. Oliker and L. D. Prussner (1988), 'On the numerical solution of the equation (?2z/?x2)(?2z/?y2) ? ((?2z/?x?y))2 = f and its discretizations I', Numer. Math. 54, 271-293.
-
(1988)
Numer. Math.
, vol.54
, pp. 271-293
-
-
Oliker, V.I.1
Prussner, L.D.2
-
153
-
-
0003452273
-
A description of DASSL: A differential/algebraic system solver
-
Sandia National Labs, Livermore, CA
-
L. R. Petzold (1982), A description of DASSL: A differential/algebraic system solver. Technical report SAND82-8637, Sandia National Labs, Livermore, CA.
-
(1982)
Technical Report SAND82-8637
-
-
Petzold, L.R.1
-
154
-
-
0023393821
-
Observations on an adaptive moving grid method for onedimensional systems for partial differential equations
-
L. R. Petzold (1987), 'Observations on an adaptive moving grid method for onedimensional systems for partial differential equations', Appl. Numer. Math. 3, 347-360.
-
(1987)
Appl. Numer. Math.
, vol.3
, pp. 347-360
-
-
Petzold, L.R.1
-
155
-
-
0001480945
-
On the convergence of iterated remeshing
-
J. Pryce (1989), 'On the convergence of iterated remeshing', IMA J. Numer. Anal. 9, 315-335.
-
(1989)
IMA J. Numer. Anal.
, vol.9
, pp. 315-335
-
-
Pryce, J.1
-
156
-
-
0032209198
-
Numerical solution of Fisher's equation using a moving mesh method
-
Y. Qiu and D. M. Sloan (1998), 'Numerical solution of Fisher's equation using a moving mesh method', J. Comput. Phys. 146, 726-746.
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 726-746
-
-
Qiu, Y.1
Sloan, D.M.2
-
157
-
-
0032689583
-
Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid
-
Y. Qiu and D. M. Sloan (1999), 'Analysis of difference approximations to a singularly perturbed two-point boundary value problem on an adaptively generated grid', J. Comput. Appl. Math. 101, 1-25.
-
(1999)
J. Comput. Appl. Math.
, vol.101
, pp. 1-25
-
-
Qiu, Y.1
Sloan, D.M.2
-
158
-
-
0033888151
-
Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence
-
Y. Qiu, D. M. Sloan and T. Tang (2000), 'Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: Analysis of convergence', J. Comput. Appl. Math. 116, 121-143.
-
(2000)
J. Comput. Appl. Math.
, vol.116
, pp. 121-143
-
-
Qiu, Y.1
Sloan, D.M.2
Tang, T.3
-
160
-
-
0001424722
-
An iterative grid redistribution method for singular problems in multiple dimensions
-
W. Ren and X. Wang (2000), 'An iterative grid redistribution method for singular problems in multiple dimensions', J. Comput. Phys. 159, 246-273.
-
(2000)
J. Comput. Phys.
, vol.159
, pp. 246-273
-
-
Ren, W.1
Wang, X.2
-
162
-
-
39449083549
-
MOVCOL4: A moving mesh code for fourth-order time-dependent partial differential equations
-
R. D. Russell, J. F. Williams, and X. Xu (2007), 'MOVCOL4: A moving mesh code for fourth-order time-dependent partial differential equations', SIAM J. Sci. Comput. 29, 197-220
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 197-220
-
-
Russell, R.D.1
Williams, J.F.2
Xu, X.3
-
163
-
-
0008879520
-
-
Walter de Gruyter
-
A. A. Samarskii, V. A. Galaktionov, S. P. Kurdyumov and A. P. Mikhailov (1995), Blow-up in Quasilinear Parabolic Equations, Vol.19 of De Gruyter Expositions in Mathematics, Walter de Gruyter.
-
(1995)
Blow-up in Quasilinear Parabolic Equations, Vol.19 of de Gruyter Expositions in Mathematics
-
-
Samarskii, A.A.1
Galaktionov, V.A.2
Kurdyumov, S.P.3
Mikhailov, A.P.4
-
164
-
-
67649668504
-
Introduction to partial differential equations and variational formulations in image processing
-
F. Cucker, ed.
-
G. Sapiro (2003), Introduction to partial differential equations and variational formulations in image processing, in Foundations of Computational Mathematics (F. Cucker, ed.), Vol.1, pp. 383-461.
-
(2003)
Foundations of Computational Mathematics
, vol.1
, pp. 383-461
-
-
Sapiro, G.1
-
165
-
-
23044445841
-
Adaptive method of lines solutions for the extended fifth order Korteveg-De Vries equation
-
P. Saucez, A. Vande Vouwer and P. A. Zegeling (2005), 'Adaptive method of lines solutions for the extended fifth order Korteveg-De Vries equation', J. Comput. Math. 183, 343-357.
-
(2005)
J. Comput. Math.
, vol.183
, pp. 343-357
-
-
Saucez, P.1
Vande Vouwer, A.2
Zegeling, P.A.3
-
166
-
-
84985384437
-
A moving grid finite-element method using grid deformation
-
B. Semper and G. Liao (1995), 'A moving grid finite-element method using grid deformation', Numer. Methods in PDEs 11, 603-615.
-
(1995)
Numer. Methods in PDEs
, vol.11
, pp. 603-615
-
-
Semper, B.1
Liao, G.2
-
167
-
-
84971139063
-
On Legendre transformations and umbilic catastrophes
-
M. J. Sewell (1978), 'On Legendre transformations and umbilic catastrophes', Math. Proc. Camb. Phil. Soc. 83, 273-288.
-
(1978)
Math. Proc. Camb. Phil. Soc.
, vol.83
, pp. 273-288
-
-
Sewell, M.J.1
-
168
-
-
20444478869
-
Some applications of transformation theory in mechanics
-
(J. Norbury and I. Roulstone, eds), Cambridge University Press
-
M. J. Sewell (2002), Some applications of transformation theory in mechanics, in Large Scale Atmosphere-Ocean Dynamics, Vol.II (J. Norbury and I. Roulstone, eds), Cambridge University Press, pp. 143-223.
-
(2002)
Large Scale Atmosphere-Ocean Dynamics
, vol.2
, pp. 143-223
-
-
Sewell, M.J.1
-
169
-
-
0038691302
-
Constrained Delaunay tetrahedralizations and provably good boundary recovery
-
Sandia National Laboratories
-
R. Shewchuk (2002), Constrained Delaunay tetrahedralizations and provably good boundary recovery, in IMR 2002, Sandia National Laboratories, pp. 193-204.
-
(2002)
IMR 2002
, pp. 193-204
-
-
Shewchuk, R.1
-
172
-
-
0034774698
-
A moving mesh method for one-dimensional hyperbolic conservation laws
-
J. Stockie, J. A. Mackenzie, and R. D. Russell (2000), 'A moving mesh method for one-dimensional hyperbolic conservation laws', SIAM J. Sci. Comput. 22, 1791-1813.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1791-1813
-
-
Stockie, J.1
MacKenzie, J.A.2
Russell, R.D.3
-
175
-
-
33846394104
-
Adaptive moving mesh methods for two-dimensional resistive magneto-hydrodynamic PDE models
-
Z. Tan (2007), 'Adaptive moving mesh methods for two-dimensional resistive magneto-hydrodynamic PDE models', Computers and Fluids 36, 758-771.
-
(2007)
Computers and Fluids
, vol.36
, pp. 758-771
-
-
Tan, Z.1
-
176
-
-
34447268710
-
An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model
-
Z. Tan, K. M. Lim and B. C. Khoo (2007), 'An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model', J. Comput. Phys. 225, 1137-1158.
-
(2007)
J. Comput. Phys.
, vol.225
, pp. 1137-1158
-
-
Tan, Z.1
Lim, K.M.2
Khoo, B.C.3
-
177
-
-
0038704068
-
Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws
-
H. Z. Tang and T. Tang (2003), 'Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws', SIAM J. Numer. Anal. 41, 487-515.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 487-515
-
-
Tang, H.Z.1
Tang, T.2
-
180
-
-
34547761144
-
A rational spectral collocation method with adaptively transformed Chebyshev grid points
-
T. W. Tee and L. N. Trefethen (2006), 'A rational spectral collocation method with adaptively transformed Chebyshev grid points', SIAM J. Sci. Comput. 28, 1798-1811.
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, pp. 1798-1811
-
-
Tee, T.W.1
Trefethen, L.N.2
-
181
-
-
0021781423
-
A survey of dynamically-adaptive grids in the numerical solution of partial differential equations
-
J. F. Thompson (1985), 'A survey of dynamically-adaptive grids in the numerical solution of partial differential equations', Appl. Numer. Math. 1, 3-27.
-
(1985)
Appl. Numer. Math.
, vol.1
, pp. 3-27
-
-
Thompson, J.F.1
-
183
-
-
49049136186
-
Boundary-fitted coordinate systems for numerical solution of partial differential equations: A review
-
J. F. Thompson, Z. U. A. Warsi, and C. W. Mastin (1982), 'Boundary-fitted coordinate systems for numerical solution of partial differential equations: A review', J. Comput. Phys. 47, 1-108.
-
(1982)
J. Comput. Phys.
, vol.47
, pp. 1-108
-
-
Thompson, J.F.1
Warsi, Z.U.A.2
Mastin, C.W.3
-
185
-
-
0000816388
-
A new moving mesh algorithm for the finite element solution of variational problems
-
Y. Touringy and F. Hülseman (1998), 'A new moving mesh algorithm for the finite element solution of variational problems', SIAM J. Numer. Anal. 35, 1416-1438.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 1416-1438
-
-
Touringy, Y.1
Hülseman, F.2
-
186
-
-
33751536389
-
Playing with nonuniform grids
-
A. E. P. Veldman and K. Rinzema (1992), 'Playing with nonuniform grids', J. Engrg Math. 26, 119-130.
-
(1992)
J. Engrg Math.
, vol.26
, pp. 119-130
-
-
Veldman, A.E.P.1
Rinzema, K.2
-
187
-
-
0004456294
-
A movinggrid method for one-dimensional PDEs based on the method of lines
-
(J. E. Flaherty, P. J. Paslow, M. S. Shepard and J. D. Vasilakis, eds) SIAM, Philadelphia
-
J. G. Verwer, J. G. Blom, R. M. Furzeland and P. A. Zegeling (1989), A movinggrid method for one-dimensional PDEs based on the method of lines, in Adaptive Methods for Partial Differential Equations (J. E. Flaherty, P. J. Paslow, M. S. Shepard and J. D. Vasilakis, eds), SIAM, Philadelphia, pp. 160-175.
-
(1989)
Adaptive Methods for Partial Differential Equations
, pp. 160-175
-
-
Verwer, J.G.1
Blom, J.G.2
Furzeland, R.M.3
Zegeling, P.A.4
-
190
-
-
23944471719
-
Error analysis for mapped Jacobi spectral methods
-
L.-L. Wang and J. Shen (2005), 'Error analysis for mapped Jacobi spectral methods', J. Sci. Comput. 24, 183-218.
-
(2005)
J. Sci. Comput.
, vol.24
, pp. 183-218
-
-
Wang, L.-L.1
Shen, J.2
-
191
-
-
0040658104
-
On the structure of the moving finiteelement equations
-
A. J. Wathen and M. J. Baines (1985), 'On the structure of the moving finiteelement equations', IMA J. Numer. Anal. 5, 161-182.
-
(1985)
IMA J. Numer. Anal.
, vol.5
, pp. 161-182
-
-
Wathen, A.J.1
Baines, M.J.2
-
192
-
-
49949139816
-
Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
-
A. M. Winslow (1967), 'Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh', J. Comput. Phys. 2, 149-172.
-
(1967)
J. Comput. Phys.
, vol.2
, pp. 149-172
-
-
Winslow, A.M.1
-
193
-
-
0012592932
-
Adaptive mesh rezoning by the equipotential method
-
Lawrence Livermore Lab
-
A. M. Winslow (1981), Adaptive mesh rezoning by the equipotential method. Technical report UCID-19062, Lawrence Livermore Lab.
-
(1981)
Technical Report UCID-19062
-
-
Winslow, A.M.1
-
195
-
-
77949578896
-
-
Springer
-
N. N. Yanenko, E. A. Kroshko, V. V. Liseikin, V. M. Fomin, V. P. Shapeev and Y. A. Shitov (1976), Methods for the Construction of Moving Grids for Problems of Fluid Dynamics with Big Deformations, Vol.59 of Lecture Notes in Physics, Springer.
-
(1976)
Methods for the Construction of Moving Grids for Problems of Fluid Dynamics with Big Deformations, Vol.59 of Lecture Notes in Physics
-
-
Yanenko, N.N.1
Kroshko, E.A.2
Liseikin, V.V.3
Fomin, V.M.4
Shapeev, V.P.5
Shitov, Y.A.6
-
196
-
-
0039232401
-
Moving-grid methods for time-dependent partial differential equations
-
P. A. Zegeling (1993), Moving-grid methods for time-dependent partial differential equations. CWI Tract 94.
-
(1993)
CWI Tract 94
-
-
Zegeling, P.A.1
-
197
-
-
23944462472
-
On resistive MHD models with adaptive moving meshes
-
P. A. Zegeling (2005), 'On resistive MHD models with adaptive moving meshes', J. Sci. Comput. 24, 263-284.
-
(2005)
J. Sci. Comput.
, vol.24
, pp. 263-284
-
-
Zegeling, P.A.1
-
198
-
-
76449109506
-
Theory and application of adaptive moving grid methods
-
Science Press, Beijing
-
P. A. Zegeling (2007), Theory and application of adaptive moving grid methods, in Adaptive Computations: Theory and Algorithms, Science Press, Beijing, pp. 279-332.
-
(2007)
Adaptive Computations: Theory and Algorithms
, pp. 279-332
-
-
Zegeling, P.A.1
-
199
-
-
2942517483
-
Adaptive moving mesh computations for reaction-diffusion systems
-
P. A. Zegeling and H. P. Kok (2004), 'Adaptive moving mesh computations for reaction-diffusion systems', J. Comput. Appl. Math. 168, 519-528.
-
(2004)
J. Comput. Appl. Math.
, vol.168
, pp. 519-528
-
-
Zegeling, P.A.1
Kok, H.P.2
-
200
-
-
4544232505
-
An adaptive mesh redistribution algorithm for convection-dominated problems
-
Z.-R Zhang and T. Tang (2002), 'An adaptive mesh redistribution algorithm for convection-dominated problems', Comm. Pure Appl. Anal. 1, 341-357
-
(2002)
Comm. Pure Appl. Anal.
, vol.1
, pp. 341-357
-
-
Zhang, Z.-R.1
Tang, T.2
-
201
-
-
0043237770
-
Image registration methods: A survey
-
B. Zitova and J. Flusser (2003), 'Image registration methods: A survey', Image and Vision Comput. 21, 977-1000.
-
(2003)
Image and Vision Comput
, vol.21
, pp. 977-1000
-
-
Zitova, B.1
Flusser, J.2
-
202
-
-
0000466572
-
On the finite element method
-
M. Zlamal (1968), 'On the finite element method', Numer. Math. 12, 394-409.
-
(1968)
Numer. Math.
, vol.12
, pp. 394-409
-
-
Zlamal, M.1
|