-
1
-
-
0022046824
-
A moving-mesh finite element method with local refinement for parabolic partial differential equations
-
MR0845411 87h:65187
-
S. Adjerid and J. E. Flaherty. A moving-mesh finite element method with local refinement for parabolic partial differential equations. Comp. Meht. Appl. Mech. Engry., 55:3-26, 1986. MR0845411 (87h:65187)
-
(1986)
Comp. Meht. Appl. Mech. Engry
, vol.55
, pp. 3-26
-
-
Adjerid, S.1
Flaherty, J.E.2
-
2
-
-
0033333201
-
Adaptive generation of quasi-optimal tetrahedral meshes
-
MR1738437 2000i:65204
-
A. Agouzal, K. Lipnikov, and Y. Vassilevski. Adaptive generation of quasi-optimal tetrahedral meshes. East-West J. Numer. Math., 7:223-244, 1999. MR1738437 (2000i:65204)
-
(1999)
East-West J. Numer. Math
, vol.7
, pp. 223-244
-
-
Agouzal, A.1
Lipnikov, K.2
Vassilevski, Y.3
-
4
-
-
0003918275
-
Anisotropic finite elements: Local estimates and applications
-
Stuttgart: Teubner, MR1716824 2000k:65002
-
T. Apel. Anisotropic finite elements: Local estimates and applications. Book Series: Advances in Numerical Mathematics. Stuttgart: Teubner, 1999. MR1716824 (2000k:65002)
-
(1999)
Book Series: Advances in Numerical Mathematics
-
-
Apel, T.1
-
5
-
-
0344992519
-
Mesh shape and anisotropic elements: Theory and practice
-
J. R. Whiteman (ed, Elsevier, Amsterdam, MR1801989 2001j:65180
-
T. Apel, M. Berzins, P. K. Jimack, G. Kunert, A. Plake, I. Tsukerman, and M. Walkley. Mesh shape and anisotropic elements: Theory and practice. In J. R. Whiteman (ed.): The Mathematics of Finite Elements and Applications X, Elsevier, Amsterdam, pages 367-376, 2000. MR1801989 (2001j:65180)
-
(2000)
The Mathematics of Finite Elements and Applications X
, pp. 367-376
-
-
Apel, T.1
Berzins, M.2
Jimack, P.K.3
Kunert, G.4
Plake, A.5
Tsukerman, I.6
Walkley, M.7
-
6
-
-
3142637302
-
A new methodology for anisotropic mesh refinement based upon error gradients
-
MR:2074008
-
T. Apel, S. Grosman, P. K. Jimack, and A. Meyer. A new methodology for anisotropic mesh refinement based upon error gradients. Appl. Numer. Math., 50(3-4):329-341, 2004. MR:2074008
-
(2004)
Appl. Numer. Math
, vol.50
, Issue.3-4
, pp. 329-341
-
-
Apel, T.1
Grosman, S.2
Jimack, P.K.3
Meyer, A.4
-
7
-
-
0344464827
-
-
T. Apel and J. Schoberl. Multigrid methods for anisotropic edge refinement. SIAM Journal on Numerical Analysis, 40(5):1993-2006, 2000. MR1950630 (2003m:65225)
-
T. Apel and J. Schoberl. Multigrid methods for anisotropic edge refinement. SIAM Journal on Numerical Analysis, 40(5):1993-2006, 2000. MR1950630 (2003m:65225)
-
-
-
-
8
-
-
0025399707
-
An adaptive mesh-moving and local refinement method for time-dependentt partial differential equatioins
-
MR1073410 91f:65154
-
D. C. Arney and J. E. Flaherty. An adaptive mesh-moving and local refinement method for time-dependentt partial differential equatioins. ACM Trans. Math. Software, 16:48-71, 1990. MR1073410 (91f:65154)
-
(1990)
ACM Trans. Math. Software
, vol.16
, pp. 48-71
-
-
Arney, D.C.1
Flaherty, J.E.2
-
9
-
-
0000613724
-
Error estimates for adaptive finite element computations
-
MR0483395 58:3400
-
I. Babuška and W. C. Rheinboldt. Error estimates for adaptive finite element computations. SIAM Journal on Numerical Analysis, 15:736-754, 1978. MR0483395 (58:3400)
-
(1978)
SIAM Journal on Numerical Analysis
, vol.15
, pp. 736-754
-
-
Babuška, I.1
Rheinboldt, W.C.2
-
10
-
-
10044252649
-
The Finite Element Method and Its Reliability
-
Oxford Science Publications, MR1857191 2002k:65001
-
I. Babuška and T. Strouboulis. The Finite Element Method and Its Reliability. Numerical Mathematics and Scientific Computation, Oxford Science Publications, 2001. MR1857191 (2002k:65001)
-
(2001)
Numerical Mathematics and Scientific Computation
-
-
Babuška, I.1
Strouboulis, T.2
-
11
-
-
34250236781
-
An adaptive multilevel method for elliptic boundary value problems
-
MR0619932 83c:65229
-
R. E. Bank and A. H. Sherman. An adaptive multilevel method for elliptic boundary value problems. Computing, 26:91-105, 1981. MR0619932 (83c:65229)
-
(1981)
Computing
, vol.26
, pp. 91-105
-
-
Bank, R.E.1
Sherman, A.H.2
-
12
-
-
54149084446
-
-
R. E. Bank, A. H. Sherman, and A. Weiser. Refinement algorithms and data structures for regular local mesh refinement. In R. S. et al., editor, Scientific Computing, pages 3-17. IMACS/North-Holland Publishing Company, Amsterdam, 1983. MR0751598
-
R. E. Bank, A. H. Sherman, and A. Weiser. Refinement algorithms and data structures for regular local mesh refinement. In R. S. et al., editor, Scientific Computing, pages 3-17. IMACS/North-Holland Publishing Company, Amsterdam, 1983. MR0751598
-
-
-
-
13
-
-
11044234164
-
Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence
-
MR2034616 2004k:65194
-
R. E. Bank and J. Xu. Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence. SIAM Journal on Numerical Analysis, 41(6):2294-2312, 2003. MR2034616 (2004k:65194)
-
(2003)
SIAM Journal on Numerical Analysis
, vol.41
, Issue.6
, pp. 2294-2312
-
-
Bank, R.E.1
Xu, J.2
-
14
-
-
11044235029
-
Asymptotically exact a posteriori error estimators, Part II: General unstructured grids
-
MR2034617 2004m:65212
-
R. E. Bank and J. Xu. Asymptotically exact a posteriori error estimators, Part II: General unstructured grids. SIAM Journal on Numerical Analysis, 41(6):2313-2332, 2003. MR2034617 (2004m:65212)
-
(2003)
SIAM Journal on Numerical Analysis
, vol.41
, Issue.6
, pp. 2313-2332
-
-
Bank, R.E.1
Xu, J.2
-
15
-
-
0036867839
-
Computational solution of two-dimensional unsteady PDEs using moving mesh methods
-
November, MR1941849 2003m:65169
-
G. Beckett, J. A. Mackenzie, A. Ramage, and D. M. Sloan. Computational solution of two-dimensional unsteady PDEs using moving mesh methods. J. Comput. Phys., 182(2):478-495, November 2002. MR1941849 (2003m:65169)
-
(2002)
J. Comput. Phys
, vol.182
, Issue.2
, pp. 478-495
-
-
Beckett, G.1
Mackenzie, J.A.2
Ramage, A.3
Sloan, D.M.4
-
16
-
-
0242607189
-
Anisotropic adaptive mesh generation in two dimensions for CFD
-
Mississppi State University
-
H. Borouchaki, M. J. Castro-Diaz, P. L. George, F. Hecht, and B. Mohammadi. Anisotropic adaptive mesh generation in two dimensions for CFD. In 5th International Conference On Numerical Grid Generation in Computational Field Simulations, volume 3, pages 197-206. Mississppi State University, 1996.
-
(1996)
5th International Conference On Numerical Grid Generation in Computational Field Simulations
, vol.3
, pp. 197-206
-
-
Borouchaki, H.1
Castro-Diaz, M.J.2
George, P.L.3
Hecht, F.4
Mohammadi, B.5
-
17
-
-
0031094241
-
Delaunay mesh generation governed by metric specifications. I. algorithms
-
MR1442300 98c:65163
-
H. Borouchaki, P. L. George, F. Hecht, P. Laug, and E. Saltel. Delaunay mesh generation governed by metric specifications. I. algorithms. Finite Elem. Anal. Des., 25(1-2):61-83, 1997. MR1442300 (98c:65163)
-
(1997)
Finite Elem. Anal. Des
, vol.25
, Issue.1-2
, pp. 61-83
-
-
Borouchaki, H.1
George, P.L.2
Hecht, F.3
Laug, P.4
Saltel, E.5
-
18
-
-
0031099169
-
Delaunay mesh generation governed by metric specifications. II. applications
-
MR1442301 98c:65164
-
H. Borouchaki, P. L. George, and B. Mohammadi. Delaunay mesh generation governed by metric specifications. II. applications. Finite Elem. Anal. Des., 25(1-2):85-109, 1997. MR1442301 (98c:65164)
-
(1997)
Finite Elem. Anal. Des
, vol.25
, Issue.1-2
, pp. 85-109
-
-
Borouchaki, H.1
George, P.L.2
Mohammadi, B.3
-
19
-
-
49049134162
-
Adaptive zoning for singular problems in two dimensions
-
MR0673707 84c:65140
-
J. U. Brackbill and J. S. Saltzman. Adaptive zoning for singular problems in two dimensions. J. Comput. Phys., 46:342-368, 1982. MR0673707 (84c:65140)
-
(1982)
J. Comput. Phys
, vol.46
, pp. 342-368
-
-
Brackbill, J.U.1
Saltzman, J.S.2
-
20
-
-
0033294022
-
-
W. Cao, W. Huang, and R. D. Russell. A study of monitor functions for two dimensional adaptive mesh generation. SIAM J. Sci. Comput., 20:1978-1994, 1999. MR1694650 (2000c:65113)
-
W. Cao, W. Huang, and R. D. Russell. A study of monitor functions for two dimensional adaptive mesh generation. SIAM J. Sci. Comput., 20:1978-1994, 1999. MR1694650 (2000c:65113)
-
-
-
-
21
-
-
0038517141
-
A two-dimensional moving finite element method with local refinement based on a posteriori error estimates
-
MR1986348 2004d:65113
-
W. Cao, J. Lang, W. Huang, and R. D. Russell. A two-dimensional moving finite element method with local refinement based on a posteriori error estimates. Appl. Numer. Math., 46:75-94, 2003. MR1986348 (2004d:65113)
-
(2003)
Appl. Numer. Math
, vol.46
, pp. 75-94
-
-
Cao, W.1
Lang, J.2
Huang, W.3
Russell, R.D.4
-
22
-
-
0022145329
-
Grading functions and mesh redistribution
-
MR0799126 86h:65123
-
G. F. Carey and H. T. Dinh. Grading functions and mesh redistribution. SIAM Journal on Numerical Analysis, 22(5):1028-1040, 1985. MR0799126 (86h:65123)
-
(1985)
SIAM Journal on Numerical Analysis
, vol.22
, Issue.5
, pp. 1028-1040
-
-
Carey, G.F.1
Dinh, H.T.2
-
23
-
-
0035922234
-
An efficient dynamically adaptive mesh for potentially singular solutions
-
H. D. Ceniceros and T. Y. Hou. An efficient dynamically adaptive mesh for potentially singular solutions. Journal of Computational Physics, 172:609-639, 2001.
-
(2001)
Journal of Computational Physics
, vol.172
, pp. 609-639
-
-
Ceniceros, H.D.1
Hou, T.Y.2
-
24
-
-
14044276965
-
Mesh smoothing schemes based on optimal Delaunay triangulations
-
Williamsburg, VA, Sandia National Laboratories
-
L. Chen. Mesh smoothing schemes based on optimal Delaunay triangulations. In 13th International Meshing Roundtable, pages 109-120, Williamsburg, VA, 2004. Sandia National Laboratories.
-
(2004)
13th International Meshing Roundtable
, pp. 109-120
-
-
Chen, L.1
-
25
-
-
14044272118
-
New analysis of the sphere covering problems and optimal polytope approximation of convex bodies
-
March, MR2122271 2005k:41097
-
L. Chen. New analysis of the sphere covering problems and optimal polytope approximation of convex bodies. Journal of Approximation Theory, 133(1):134-145, March 2005. MR2122271 (2005k:41097)
-
(2005)
Journal of Approximation Theory
, vol.133
, Issue.1
, pp. 134-145
-
-
Chen, L.1
-
26
-
-
14044271539
-
Multilevel homotopic adaptive finite element methods for convection dominated problems
-
The Proceedings for 15th Conferences for Domain Decomposition Methods, Springer
-
L. Chen, P. Sun, and J. Xu. Multilevel homotopic adaptive finite element methods for convection dominated problems. In The Proceedings for 15th Conferences for Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering 40, pages 459-468. Springer, 2004.
-
(2004)
Lecture Notes in Computational Science and Engineering
, vol.40
, pp. 459-468
-
-
Chen, L.1
Sun, P.2
Xu, J.3
-
27
-
-
54149105655
-
Asymptotically optimal and linear-time algorithm for polygonal curve simplification
-
L. Chen, J. Z. Wang, and J. Xu. Asymptotically optimal and linear-time algorithm for polygonal curve simplification. Submitted to IEEE, 2005.
-
(2005)
Submitted to IEEE
-
-
Chen, L.1
Wang, J.Z.2
Xu, J.3
-
28
-
-
3042755624
-
Optimal Delaunay triangulations
-
MR2058939 2005c:41042
-
L. Chen and J. Xu. Optimal Delaunay triangulations. Journal of Computational Mathematics, 22(2):299-308, 2004. MR2058939 (2005c:41042)
-
(2004)
Journal of Computational Mathematics
, vol.22
, Issue.2
, pp. 299-308
-
-
Chen, L.1
Xu, J.2
-
29
-
-
54149109633
-
-
L. Chen and J. Xu. An optimal streamline diffusion finite element method for a singularly perturbed problem. In AMS Contemporary Mathematics Series: Recent Advances in Adaptive Computation, 383, pages 236-246, Hangzhou, 2005. MR2195801
-
L. Chen and J. Xu. An optimal streamline diffusion finite element method for a singularly perturbed problem. In AMS Contemporary Mathematics Series: Recent Advances in Adaptive Computation, volume 383, pages 236-246, Hangzhou, 2005. MR2195801
-
-
-
-
30
-
-
54149120359
-
Stability and accuracy of adapted finite element methods for singularly perturbed problems
-
L. Chen and J. Xu. Stability and accuracy of adapted finite element methods for singularly perturbed problems. Submitted to Numer. Math.. 2005.
-
(2005)
Submitted to Numer. Math
-
-
Chen, L.1
Xu, J.2
-
31
-
-
0000906086
-
Optimal triangular mesh generation by coordinate transformation
-
MR1102406 92a:65041
-
E. F. D'Azevedo. Optimal triangular mesh generation by coordinate transformation. SIAM J. Sci. Statist. Comput, 12:755-786, 1991. MR1102406 (92a:65041)
-
(1991)
SIAM J. Sci. Statist. Comput
, vol.12
, pp. 755-786
-
-
D'Azevedo, E.F.1
-
32
-
-
0001462064
-
On optimal interpolation triangle incidences
-
MR1025475 91a:65019
-
E. F. D'Azevedo and R. B. Simpson. On optimal interpolation triangle incidences. SIAM J. Sci. Statist. Comput. 6:1063-1075, 1989. MR1025475 (91a:65019)
-
(1989)
SIAM J. Sci. Statist. Comput
, vol.6
, pp. 1063-1075
-
-
D'Azevedo, E.F.1
Simpson, R.B.2
-
33
-
-
0012316589
-
Good approximation by splines with variable knots
-
Birkhauser Verlag, Basel, MR0403169 53:6982
-
C. de Boor. Good approximation by splines with variable knots. Int. Seines Numer. Math,. Birkhauser Verlag, Basel, 21:57-72, 1973. MR0403169 (53:6982)
-
(1973)
Int. Seines Numer. Math
, vol.21
, pp. 57-72
-
-
de Boor, C.1
-
34
-
-
0002791812
-
Good approximation by splines with variables knots II
-
G. A. Watson, editor, Springer-Verlag, Dundee, Scotland, MR0431606 55:4603
-
C. de Boor. Good approximation by splines with variables knots II. In G. A. Watson, editor, Proceedings of the Eleventh International Conference on Numerical Methods in Fluid Dynamics, volume 363, pages 12-20. Springer-Verlag, Dundee, Scotland, 1974. MR0431606 (55:4603)
-
(1974)
Proceedings of the Eleventh International Conference on Numerical Methods in Fluid Dynamics
, vol.363
, pp. 12-20
-
-
de Boor, C.1
-
35
-
-
19744364449
-
Moving mesh finite element methods for the incompressible Navier-Stokes equations
-
MR2126125 2005j:65107
-
Y. Di, R. Li, T. Tang, and P. Zhang. Moving mesh finite element methods for the incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 26(3):1036-1056, 2005. MR2126125 (2005j:65107)
-
(2005)
SIAM J. Sci. Comput
, vol.26
, Issue.3
, pp. 1036-1056
-
-
Di, Y.1
Li, R.2
Tang, T.3
Zhang, P.4
-
36
-
-
0000520595
-
Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes
-
V. Dolejsi. Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes. Computing and Visualization in Science. 1:165-178, 1998.
-
(1998)
Computing and Visualization in Science
, vol.1
, pp. 165-178
-
-
Dolejsi, V.1
-
37
-
-
0034936595
-
-
V. Dolejsi. Anisotropic mesh adaptation technique for viscous flow simulation. East-West Journal of Numerical Mathematics, 1-24,2001, 9(1):1-24, 2001. MR1839196 (2002c:65164)
-
V. Dolejsi. Anisotropic mesh adaptation technique for viscous flow simulation. East-West Journal of Numerical Mathematics, 1-24,2001, 9(1):1-24, 2001. MR1839196 (2002c:65164)
-
-
-
-
38
-
-
0038718895
-
Symmetric error estimates for moving mesh galerkin methods for advection-diffusion equations
-
MR1949398 2004b:65147
-
T. Dupont and Y. Liu. Symmetric error estimates for moving mesh galerkin methods for advection-diffusion equations. SIAM Journal on Numerical Analysis, 40(3):914-927, 2002. MR1949398 (2004b:65147)
-
(2002)
SIAM Journal on Numerical Analysis
, vol.40
, Issue.3
, pp. 914-927
-
-
Dupont, T.1
Liu, Y.2
-
39
-
-
0000379994
-
Adaptive grid generation from harmonic maps on Riemannian manifolds
-
MR1117849 92e:65162
-
A. S. Dvinsky. Adaptive grid generation from harmonic maps on Riemannian manifolds. J. Comput. Phys., 95(2):450-476, 1991. MR1117849 (92e:65162)
-
(1991)
J. Comput. Phys
, vol.95
, Issue.2
, pp. 450-476
-
-
Dvinsky, A.S.1
-
40
-
-
0035602908
-
New anisotropic a priori error estimates
-
MR1865506 2002j:65110
-
L. Formaggia and S. Perotto. New anisotropic a priori error estimates. Numer. Math., 89(4):641-667, 2001. MR1865506 (2002j:65110)
-
(2001)
Numer. Math
, vol.89
, Issue.4
, pp. 641-667
-
-
Formaggia, L.1
Perotto, S.2
-
41
-
-
0142118651
-
Anisotropic error estimates for elliptic problems
-
MR1971213 2004c:65127
-
L. Formaggia and S. Perotto. Anisotropic error estimates for elliptic problems. Numer. Math., pages 67-92, 2003. MR1971213 (2004c:65127)
-
(2003)
Numer. Math
, pp. 67-92
-
-
Formaggia, L.1
Perotto, S.2
-
42
-
-
0012772149
-
Local uniform mesh refinement with moving grids
-
MR0883772 88f:65161
-
W. D. Gropp. Local uniform mesh refinement with moving grids. SIAM J. Sci. Statist. Comput. 8:292-304, 1987. MR0883772 (88f:65161)
-
(1987)
SIAM J. Sci. Statist. Comput
, vol.8
, pp. 292-304
-
-
Gropp, W.D.1
-
43
-
-
0342383116
-
Anisotropic mesh optimization for structured and unstructured meshes
-
von Karman Institute, March
-
W. G. Habashi, M. Fortin, J. Dompierre, M. G. Vallet, D. Ait-Ali-Yahia, Y. Bourgault, M. P. Robichaud, A. Tam, and S. Boivin. Anisotropic mesh optimization for structured and unstructured meshes. In 28th Computational Fluid Dynamics Lecture Series, von Karman Institute, March 1997.
-
(1997)
28th Computational Fluid Dynamics Lecture Series
-
-
Habashi, W.G.1
Fortin, M.2
Dompierre, J.3
Vallet, M.G.4
Ait-Ali-Yahia, D.5
Bourgault, Y.6
Robichaud, M.P.7
Tam, A.8
Boivin, S.9
-
44
-
-
0003234307
-
Harmonic Maps of Manifolds with Boundary
-
of, American Mathematical Society, Springer-Verlag, New York, MR0482822 58:2872
-
R. Hamilton. Harmonic Maps of Manifolds with Boundary, volume 471 of Lecture Notes in Math. American Mathematical Society, Springer-Verlag, New York, 1975. MR0482822 (58:2872)
-
(1975)
Lecture Notes in Math
, vol.471
-
-
Hamilton, R.1
-
45
-
-
0039254111
-
Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes I: A smooth problem and globally quasi-uniform meshes
-
MR1826572 2002a:65178
-
W. Hoffmann, A. H. Schatz, L. B. Wahlbin, and G. Wittum. Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes I: A smooth problem and globally quasi-uniform meshes. Mathematics of Computation, 70:897-909, 2001. MR1826572 (2002a:65178)
-
(2001)
Mathematics of Computation
, vol.70
, pp. 897-909
-
-
Hoffmann, W.1
Schatz, A.H.2
Wahlbin, L.B.3
Wittum, G.4
-
46
-
-
0000311286
-
Practical aspects of formulation and solution of moving mesh partial differential equations
-
MR1848733 2002e:65132
-
W. Huang. Practical aspects of formulation and solution of moving mesh partial differential equations. J. Comput. Phys., 171:753-775, 2001. MR1848733 (2002e:65132)
-
(2001)
J. Comput. Phys
, vol.171
, pp. 753-775
-
-
Huang, W.1
-
47
-
-
85189845096
-
-
W. Huang. Variational mesh adaptation: isotropy and equidistribution. J. Comput. Phys., 174:903-924, 2001. MR1868106
-
W. Huang. Variational mesh adaptation: isotropy and equidistribution. J. Comput. Phys., 174:903-924, 2001. MR1868106
-
-
-
-
48
-
-
0032226429
-
Moving mesh strategy based on a gradient flow equation for two-dimensional problems
-
MR1665654 99m:65179
-
W. Huang and R. D. Russell. Moving mesh strategy based on a gradient flow equation for two-dimensional problems. SIAM J. Sci. Comput, 20:998-1015, 1999. MR1665654 (99m:65179)
-
(1999)
SIAM J. Sci. Comput
, vol.20
, pp. 998-1015
-
-
Huang, W.1
Russell, R.D.2
-
49
-
-
0037455650
-
Variational mesh adaptation II: Error estimates and monitor functions
-
MR:1959407
-
W. Huang and W. Sun. Variational mesh adaptation II: Error estimates and monitor functions. J. Comput Phys., 184:619-648, 2003. MR:1959407
-
(2003)
J. Comput Phys
, vol.184
, pp. 619-648
-
-
Huang, W.1
Sun, W.2
-
50
-
-
0000712022
-
Mesh generation using vector-fields
-
MR1336033 96b:65119
-
P. Knupp. Mesh generation using vector-fields. J. Comput. Phys., 119:142-148, 1995. MR1336033 (96b:65119)
-
(1995)
J. Comput. Phys
, vol.119
, pp. 142-148
-
-
Knupp, P.1
-
52
-
-
0034394001
-
An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
-
MR1785418 2001g:65141
-
G. Kunert. An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes. Numer. Math., 86(3):471-490, 2000. MR1785418 (2001g:65141)
-
(2000)
Numer. Math
, vol.86
, Issue.3
, pp. 471-490
-
-
Kunert, G.1
-
53
-
-
0035322537
-
A local problem error estimator for anisotropic tetrahedral finite element meshes
-
MR1860258 2002g:65145
-
G. Kunert. A local problem error estimator for anisotropic tetrahedral finite element meshes. SIAM Journal on Numerical Analysis, 39(2):668-689, 2001. MR1860258 (2002g:65145)
-
(2001)
SIAM Journal on Numerical Analysis
, vol.39
, Issue.2
, pp. 668-689
-
-
Kunert, G.1
-
54
-
-
0035531730
-
2 error estimation on anisotropic tetrahedral finite element meshes
-
MR1825834 2002a:65162
-
2 error estimation on anisotropic tetrahedral finite element meshes. IMA Journal of Numerical Analysis, 21(2):503-523, 2001. MR1825834 (2002a:65162)
-
(2001)
IMA Journal of Numerical Analysis
, vol.21
, Issue.2
, pp. 503-523
-
-
Kunert, G.1
-
55
-
-
0036732756
-
Toward anisotropic mesh construction and error estimation in the finite element method
-
MR1919601 2003g:65153
-
G. Kunert. Toward anisotropic mesh construction and error estimation in the finite element method. Numerical Methods for Partial Differential Equations, 18(5):625-648, 2002. MR1919601 (2003g:65153)
-
(2002)
Numerical Methods for Partial Differential Equations
, vol.18
, Issue.5
, pp. 625-648
-
-
Kunert, G.1
-
56
-
-
0037667693
-
A posteriori error estimation for convection dominated problems on anisotropic meshes
-
MR19673232004e:65123
-
G. Kunert. A posteriori error estimation for convection dominated problems on anisotropic meshes. Math. Meth. Appl. Sci., 26(7):589-617, 2003. MR1967323(2004e:65123)
-
(2003)
Math. Meth. Appl. Sci
, vol.26
, Issue.7
, pp. 589-617
-
-
Kunert, G.1
-
57
-
-
0346946991
-
Zierrkiewicz-zhu error estimators on anisotropic tetrahedral and triangular finite element meshes
-
MR2026406 2004k:65196
-
G. Kunert and S. Nicaise. Zierrkiewicz-zhu error estimators on anisotropic tetrahedral and triangular finite element meshes. M2AN Math. Model. Numer. Anal., 37(6):1013-1043, 2003. MR2026406 (2004k:65196)
-
(2003)
M2AN Math. Model. Numer. Anal
, vol.37
, Issue.6
, pp. 1013-1043
-
-
Kunert, G.1
Nicaise, S.2
-
58
-
-
0039372640
-
Edge residuals dominate a posteriori error estimates for linear-finite element methods on anisotropic triangular and tetrahedral meshes
-
MR1777490 2001i:65127
-
G. Kunert and R. Verfürth. Edge residuals dominate a posteriori error estimates for linear-finite element methods on anisotropic triangular and tetrahedral meshes. Numer. Math., 86(2):283-303, 2000. MR1777490 (2001i:65127)
-
(2000)
Numer. Math
, vol.86
, Issue.2
, pp. 283-303
-
-
Kunert, G.1
Verfürth, R.2
-
59
-
-
0000501759
-
Moving mesh methods in multiple dimensions based on harmonic maps
-
MR1844903 (2j02e:65139, July
-
R. Li, T. Tang, and P. Zhang. Moving mesh methods in multiple dimensions based on harmonic maps. J. Comput. Phys., 170(2):562-588, July 2001. MR1844903 (2(j02e:65139)
-
(2001)
J. Comput. Phys
, vol.170
, Issue.2
, pp. 562-588
-
-
Li, R.1
Tang, T.2
Zhang, P.3
-
60
-
-
0037052068
-
A moving mesh finite element algorithm for singular problems in two and three space dimensions
-
April, MR1897293 2003c:65093
-
R. Li, T. Tang, and P. Zhang. A moving mesh finite element algorithm for singular problems in two and three space dimensions. J. Comput. Phys., 177(2):365-393, April 2002. MR1897293 (2003c:65093)
-
(2002)
J. Comput. Phys
, vol.177
, Issue.2
, pp. 365-393
-
-
Li, R.1
Tang, T.2
Zhang, P.3
-
62
-
-
0037436459
-
Parallel adaptive solution of 3d boundary value problems by hessian recovery
-
MR1963061
-
K. Lipnikov and Y. Vassilevski. Parallel adaptive solution of 3d boundary value problems by hessian recovery. Comput. Methods Appl. Mech. Engrg., 192:1495-1513, 2003. MR1963061
-
(2003)
Comput. Methods Appl. Mech. Engrg
, vol.192
, pp. 1495-1513
-
-
Lipnikov, K.1
Vassilevski, Y.2
-
63
-
-
34247530106
-
Error estimates for Hessian-based mesh adaptation algorithms with control of adaptivity
-
Sandia National Laboratories
-
K. Lipnikov and Y. Vassilevski. Error estimates for Hessian-based mesh adaptation algorithms with control of adaptivity. In 13th International Meshing Roundtable, pages 345-351. Sandia National Laboratories, 2004.
-
(2004)
13th International Meshing Roundtable
, pp. 345-351
-
-
Lipnikov, K.1
Vassilevski, Y.2
-
64
-
-
0004096006
-
-
Springer Verlag, Berlin, MR1707310 2000d:65001
-
V. D. Liseikin. Grid Generation Methods. Springer Verlag, Berlin, 1999. MR1707310 (2000d:65001)
-
(1999)
Grid Generation Methods
-
-
Liseikin, V.D.1
-
65
-
-
0347968217
-
Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations
-
MR1974185 2004f:65141
-
Y. Liu, R. E. Bank, T. F. Dupont, S. Garcia, and R. F. Santos. Symmetric error estimates for moving mesh mixed methods for advection-diffusion equations. SIAM Journal on Numerical Analysis, 40(6):2270-2291, 2003. MR1974185 (2004f:65141)
-
(2003)
SIAM Journal on Numerical Analysis
, vol.40
, Issue.6
, pp. 2270-2291
-
-
Liu, Y.1
Bank, R.E.2
Dupont, T.F.3
Garcia, S.4
Santos, R.F.5
-
66
-
-
0037144945
-
A moving mesh method for the solution of the one-dimensional phase-field equations
-
Sept, MR1927400 2003h:65111
-
J. A. Mackenzie and M. L. Robertson. A moving mesh method for the solution of the one-dimensional phase-field equations. J. Comput. Phys., 181(2):526-544, Sept. 2002. MR1927400 (2003h:65111)
-
(2002)
J. Comput. Phys
, vol.181
, Issue.2
, pp. 526-544
-
-
Mackenzie, J.A.1
Robertson, M.L.2
-
67
-
-
3142737182
-
Stabilized finite elements on anisotropic meshes :a priori error estimates for the advantion-diffusion and the stokes problem
-
MR2005198 2004g:65157
-
S. Micheletti, S. Perotto, and M. Picasso. Stabilized finite elements on anisotropic meshes :a priori error estimates for the advantion-diffusion and the stokes problem. SIAM Journal on Numerical Analysis, 41(3):1131-1162, 2003. MR2005198 (2004g:65157)
-
(2003)
SIAM Journal on Numerical Analysis
, vol.41
, Issue.3
, pp. 1131-1162
-
-
Micheletti, S.1
Perotto, S.2
Picasso, M.3
-
69
-
-
0003971393
-
Recent Advances in Geometric Inequalities
-
Mathematics and its applications:, MR1022443 91k:52014
-
D. S. Mitrinovic, J. E. Pecaric, and V. Volenec. Recent Advances in Geometric Inequalities. Mathematics and its applications: East European Series 28, 1989. MR1022443 (91k:52014)
-
(1989)
East European Series
, vol.28
-
-
Mitrinovic, D.S.1
Pecaric, J.E.2
Volenec, V.3
-
70
-
-
0000683197
-
2 approximation on triangulations
-
C. K. Chui, L. L. Schumaker, and J. D. Ward, editors, Academic Press, MR0903679 88e:41003
-
2 approximation on triangulations. In C. K. Chui, L. L. Schumaker, and J. D. Ward, editors, Approximation Theory, volume V, pages 499-502. Academic Press, 1986. MR0903679 (88e:41003)
-
(1986)
Approximation Theory
, vol.5
, pp. 499-502
-
-
Nadler, E.1
-
71
-
-
0042931313
-
An anisotropic error indicator based on zienkiewicz-zhu error estimator:application to elliptic and parabolic problems
-
MR1976219 2004e:65124
-
M. Picasso. An anisotropic error indicator based on zienkiewicz-zhu error estimator:application to elliptic and parabolic problems. SIAM J. SCI. COMPUT., 24(4):1328-1355, 2003. MR1976219 (2004e:65124)
-
(2003)
SIAM J. SCI. COMPUT
, vol.24
, Issue.4
, pp. 1328-1355
-
-
Picasso, M.1
-
72
-
-
0037280081
-
Numerical study of the effectivity index for an anisotropic error indicator based on zienkiewicz-zhu error estimator
-
MR1952014 2004c:65131
-
M. Picasso. Numerical study of the effectivity index for an anisotropic error indicator based on zienkiewicz-zhu error estimator. COMMUNICATION IN NUMERICAL METHODS IN ENGINEERING. 19:13-23, 2003. MR1952014 (2004c:65131)
-
(2003)
COMMUNICATION IN NUMERICAL METHODS IN ENGINEERING
, vol.19
, pp. 13-23
-
-
Picasso, M.1
-
73
-
-
84976899674
-
On piecewise linear approximation of quadratic functions
-
MR1789628 2001i:65022
-
H. Pottmann, R. Krasauskas, B. Hamann, K. Joy, and W. Seibold. On piecewise linear approximation of quadratic functions. J. Geometry and Graphics, 4(1):31-53, 2000. MR1789628 (2001i:65022)
-
(2000)
J. Geometry and Graphics
, vol.4
, Issue.1
, pp. 31-53
-
-
Pottmann, H.1
Krasauskas, R.2
Hamann, B.3
Joy, K.4
Seibold, W.5
-
74
-
-
85190396916
-
-
W. Ren and X. Wang. An iterative grid redistribution method for singular problems in multiple dimensions. J. Comput. Phys., 159:246-273, 2000. MR1752617
-
W. Ren and X. Wang. An iterative grid redistribution method for singular problems in multiple dimensions. J. Comput. Phys., 159:246-273, 2000. MR1752617
-
-
-
-
75
-
-
0021488801
-
Design and data structure for fully adaptive, multigrid finite element software
-
MR0791990 86f:65207
-
M. C. Rivara. Design and data structure for fully adaptive, multigrid finite element software. ACM Trans. Math. Soft, 10:242-264, 1984. MR0791990 (86f:65207)
-
(1984)
ACM Trans. Math. Soft
, vol.10
, pp. 242-264
-
-
Rivara, M.C.1
-
76
-
-
0021452023
-
Mesh refinement processes based on the generalized bisection of simplices
-
MR0744176 85i:65159
-
M. C. Rivara. Mesh refinement processes based on the generalized bisection of simplices. SIAM Journal on Numerical Analysis, 21:604-613, 1984. MR0744176 (85i:65159)
-
(1984)
SIAM Journal on Numerical Analysis
, vol.21
, pp. 604-613
-
-
Rivara, M.C.1
-
78
-
-
0001201969
-
On univalent harmonic maps between surfaces
-
MR0478219 57:17706
-
R. Schoen and S. Y. Yau. On univalent harmonic maps between surfaces. Invent Math., 44:265-278, 1978. MR0478219 (57:17706)
-
(1978)
Invent Math
, vol.44
, pp. 265-278
-
-
Schoen, R.1
Yau, S.Y.2
-
79
-
-
54149094968
-
-
E. G. Sewell. Automatic generation of triangulations for piecewise polynomial approximation. In Ph. D. dissertation. Purdue Univ., West Lafayette, Ind., 1972.
-
E. G. Sewell. Automatic generation of triangulations for piecewise polynomial approximation. In Ph. D. dissertation. Purdue Univ., West Lafayette, Ind., 1972.
-
-
-
-
80
-
-
0000028545
-
-
R. B. Simpson. Anisotropic mesh transformations and optimal error control. Applied Numerical Mathematics, 14:183-198, 1994. MR1273824
-
R. B. Simpson. Anisotropic mesh transformations and optimal error control. Applied Numerical Mathematics, 14:183-198, 1994. MR1273824
-
-
-
-
81
-
-
54149094969
-
Analysis of continuous moving mesh equations
-
J. H. Smith and A. M. Stuart. Analysis of continuous moving mesh equations. SIAM J. Sci. Statist. Comput, 13:1265-1286, 1992.
-
(1992)
SIAM J. Sci. Statist. Comput
, vol.13
, pp. 1265-1286
-
-
Smith, J.H.1
Stuart, A.M.2
-
82
-
-
47249123242
-
Analysis of recovery type a posteriori error estimators for mildly structured grids
-
MR2047081 2005f:65141
-
J. Xu and Z. M. Zhang. Analysis of recovery type a posteriori error estimators for mildly structured grids. Mathematics of Computation, pages 781-801, 2003. MR2047081 (2005f:65141)
-
(2003)
Mathematics of Computation
, pp. 781-801
-
-
Xu, J.1
Zhang, Z.M.2
-
83
-
-
0031620421
-
r-refinement for evolutionary PDEs with finite elements or finite differences
-
MR:1602836, January
-
P. A. Zegeling. r-refinement for evolutionary PDEs with finite elements or finite differences. Appl. Numer. Math., 26B:97-104, January 1998. MR:1602836
-
(1998)
Appl. Numer. Math
, vol.26 B
, pp. 97-104
-
-
Zegeling, P.A.1
-
84
-
-
33847739548
-
Moving grid techniques
-
B. K. S. F. Thompson and N. P. Weatherill, editors, CRC Press LLC, MR1848160 2002f:65001
-
P. A. Zegeling. Moving grid techniques. In B. K. S. F. Thompson and N. P. Weatherill, editors, Handbook of Grid Generation, pages 37-1-37-18. CRC Press LLC, 1999. MR1848160 (2002f:65001)
-
(1999)
Handbook of Grid Generation
-
-
Zegeling, P.A.1
-
85
-
-
23844471344
-
A new finite element gradient recovery method: Superconvergence property
-
MR2143481 2006d:65137
-
Z. M. Zhang and A. Naga. A new finite element gradient recovery method: Superconvergence property. SIAM J. Sci. Comput. 26(4):1192-1213, 2005. MR2143481 (2006d:65137)
-
(2005)
SIAM J. Sci. Comput
, vol.26
, Issue.4
, pp. 1192-1213
-
-
Zhang, Z.M.1
Naga, A.2
-
86
-
-
0026866050
-
The superconvergence patch recovery and a posteriori error-estimates. Part 1: The recovery techniques
-
MR1161557 93c:73098
-
O. C. Zienkiewicz and J. Z. Zhu. The superconvergence patch recovery and a posteriori error-estimates. Part 1: The recovery techniques. International Journal for Numerical Methods in Engineering, 33:1331-1364, 1992. MR1161557 (93c:73098)
-
(1992)
International Journal for Numerical Methods in Engineering
, vol.33
, pp. 1331-1364
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
87
-
-
0026869285
-
The superconvergence patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
-
MR1161558 93c:73099
-
O. C. Zienkiewicz and J. Z. Zhu. The superconvergence patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity. International Journal for Numerical Methods in Engineering, 33:1365-1382, 1992. MR1161558 (93c:73099)
-
(1992)
International Journal for Numerical Methods in Engineering
, vol.33
, pp. 1365-1382
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
|