-
1
-
-
0001626911
-
Some upwinding techniques for finite element approximations of convection diffusion equations
-
0713.65066 10.1007/BF01385618 1069278
-
R. Bank J. Bürger W. Fichtner R. Smith 1990 Some upwinding techniques for finite element approximations of convection diffusion equations Numer. Math. 58 185 202 0713.65066 10.1007/BF01385618 1069278
-
(1990)
Numer. Math.
, vol.58
, pp. 185-202
-
-
Bank, R.1
Bürger, J.2
Fichtner, W.3
Smith, R.4
-
2
-
-
0001309061
-
Mesh smoothing using a posteriori error estimates
-
R.E. Bank R.K. Smith 1997 Mesh smoothing using a posteriori error estimates SIAM J. Numer. Anal. 34 979 997 0873.65092 10.1137/S0036142994265292 1451110 (Pubitemid 127463591)
-
(1997)
SIAM Journal on Numerical Analysis
, vol.34
, Issue.3
, pp. 979-997
-
-
Bank, R.E.1
Kent Smith, R.2
-
3
-
-
11044234164
-
Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence
-
DOI 10.1137/S003614290139874X
-
R.E. Bank J. Xu 2003 Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence SIAM J. Numer. Anal. 41 6 2294 2312 1058.65116 10.1137/S003614290139874X 2034616 (Pubitemid 40044154)
-
(2003)
SIAM Journal on Numerical Analysis
, vol.41
, Issue.6
, pp. 2294-2312
-
-
Bank, R.E.1
Jinchao, X.U.2
-
4
-
-
11044235029
-
Asymptotically exact a posteriori error estimators, part II: General unstructured grids
-
DOI 10.1137/S0036142901398751
-
R.E. Bank J. Xu 2003 Asymptotically exact a posteriori error estimators, Part II: General unstructured grids SIAM J. Numer. Anal. 41 6 2313 2332 1058.65117 10.1137/S0036142901398751 2034617 (Pubitemid 40044155)
-
(2003)
SIAM Journal on Numerical Analysis
, vol.41
, Issue.6
, pp. 2313-2332
-
-
Bank, R.E.1
Xu, J.2
-
5
-
-
0012733866
-
An adaptive Uzawa FEM for the Stokes problem: Convergence without the inf-sup condition
-
1027.65148 10.1137/S0036142901392134 1951892
-
E. Bänsch P. Morin R.H. Nochetto 2002 An adaptive Uzawa FEM for the Stokes problem: convergence without the inf-sup condition SIAM J. Numer. Anal. 40 4 1207 1229 1027.65148 10.1137/S0036142901392134 1951892
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, Issue.4
, pp. 1207-1229
-
-
Bänsch, E.1
Morin, P.2
Nochetto, R.H.3
-
6
-
-
0345062335
-
A discontinuous hp finite element method for convection-diffusion problems
-
DOI 10.1016/S0045-7825(98)00359-4, PII S0045782598003594
-
C.E. Baumann J.T. Oden 1999 A discontinuous hp finite element method for convection-diffusion problems Comput. Methods Appl. Mech. Eng. 175 311 341 0924.76051 10.1016/S0045-7825(98)00359-4 1702201 (Pubitemid 29473585)
-
(1999)
Computer Methods in Applied Mechanics and Engineering
, vol.175
, Issue.3-4
, pp. 311-341
-
-
Baumann, C.E.1
Tinsley Oden, J.2
-
7
-
-
0032515215
-
Further considerations on residual-free bubbles for advective-diffusive equations
-
DOI 10.1016/S0045-7825(98)00080-2
-
F. Brezzi L. Franca A. Russo 1998 Further considerations on residual free bubbles for advection-diffusive equations Comput. Methods Appl. Mech. Eng. 166 25 33 0934.65126 10.1016/S0045-7825(98)00080-2 1660137 (Pubitemid 29167749)
-
(1998)
Computer Methods in Applied Mechanics and Engineering
, vol.166
, Issue.1-2
, pp. 25-33
-
-
Brezzi, F.1
Franca, L.P.2
Russo, A.3
-
9
-
-
0000522727
-
A priori error analysis of residual-free bubbles for advection-diffusion problems
-
F. Brezzi T.J.R. Hughes L.D. Marini A. Russo E. Süli 1999 A priori error analysis of residual-free bubbles for advection-diffusion problems SIAM J. Numer. Anal. 36 4 1933-1948
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, Issue.4
, pp. 1933-1948
-
-
Brezzi, F.1
Hughes, T.J.R.2
Marini, L.D.3
Russo, A.4
Süli, E.5
-
10
-
-
0034400351
-
Residual-free bubbles for advection-diffusion problems: The general error analysis
-
0963.65109 10.1007/s002110050476 1751366
-
F. Brezzi D. Marini E. Süli 2000 Residual-free bubbles for advection-diffusion problems: the general error analysis Numer. Math. 85 31 47 0963.65109 10.1007/s002110050476 1751366
-
(2000)
Numer. Math.
, vol.85
, pp. 31-47
-
-
Brezzi, F.1
Marini, D.2
Süli, E.3
-
11
-
-
0000617339
-
Two-dimensional exponential fitting and applications to drift-diffusion models
-
0686.65088 10.1137/0726078 1025092
-
F. Brezzi L.D. Marini P. Pietra 1989 Two-dimensional exponential fitting and applications to drift-diffusion models SIAM J. Numer. Anal. 26 6 1342 1355 0686.65088 10.1137/0726078 1025092
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, Issue.6
, pp. 1342-1355
-
-
Brezzi, F.1
Marini, L.D.2
Pietra, P.3
-
12
-
-
0019607241
-
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
-
0497.76041 10.1016/0045-7825(82)90071-8 679322
-
A. Brooks T. Hughes 1982 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput. Meth. Appl. Mech. Eng. 32 199 259 0497.76041 10.1016/0045-7825(82)90071-8 679322
-
(1982)
Comput. Meth. Appl. Mech. Eng.
, vol.32
, pp. 199-259
-
-
Brooks, A.1
Hughes, T.2
-
13
-
-
14044276965
-
Mesh smoothing schemes based on optimal Delaunay triangulations
-
Sandia National Laboratories Albuquerque
-
Chen, L.: Mesh smoothing schemes based on optimal Delaunay triangulations. In: 13th International Meshing Roundtable, Williamsburg, VA, 2004, pp. 109-120. Sandia National Laboratories, Albuquerque (2004)
-
(2004)
13th International Meshing Roundtable Williamsburg, VA 2004
, pp. 109-120
-
-
Chen, L.1
-
15
-
-
14044271539
-
Multilevel homotopic adaptive finite element methods for convection dominated problems
-
Springer Berlin. 10.1007/3-540-26825-1-47
-
Chen, L., Sun, P., Xu, J.: 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, vol. 40, pp. 459-468. Springer, Berlin (2004)
-
(2004)
The Proceedings for 15th Conferences for Domain Decomposition Methods. Lecture Notes in Computational Science and Engineering
, vol.40
, pp. 459-468
-
-
Chen, L.1
Sun, P.2
Xu, J.3
-
16
-
-
34248592637
-
p -norm
-
1106.41013 10.1090/S0025-5718-06-01896-5 2261017
-
p -norm Math. Comput. 76 257 179 204 1106.41013 10.1090/S0025-5718-06-01896-5 2261017
-
(2007)
Math. Comput.
, vol.76
, Issue.257
, pp. 179-204
-
-
Chen, L.1
Sun, P.2
Xu, J.3
-
17
-
-
41049099877
-
Stability and accuracy of adapted finite element methods for singularly perturbed problems
-
1146.65059 10.1007/s00211-007-0118-6 2385650
-
L. Chen J. Xu 2008 Stability and accuracy of adapted finite element methods for singularly perturbed problems Numer. Math. 109 2 167 191 1146.65059 10.1007/s00211-007-0118-6 2385650
-
(2008)
Numer. Math.
, vol.109
, Issue.2
, pp. 167-191
-
-
Chen, L.1
Xu, J.2
-
18
-
-
84985427959
-
An 'upwind' finite element scheme for two-dimensional convective transport equation
-
0353.65065 10.1002/nme.1620110113
-
J.C. Heinrich P.S. Huyakorn O.C. Zienkiewicz A.R. Mitchell 1977 An 'upwind' finite element scheme for two-dimensional convective transport equation Int. J. Numer. Methods Eng. 11 131 143 0353.65065 10.1002/nme.1620110113
-
(1977)
Int. J. Numer. Methods Eng.
, vol.11
, pp. 131-143
-
-
Heinrich, J.C.1
Huyakorn, P.S.2
Zienkiewicz, O.C.3
Mitchell, A.R.4
-
19
-
-
0030419987
-
A singularly perturbed model problem for numerical computation
-
PII S0377042796001136
-
P.W. Hemker 1996 A singularly perturbed model problem for numerical computation J. Comput. Appl. Math. 76 1-2 277 285 0870.35020 10.1016/S0377-0427(96)00113-6 1423523 (Pubitemid 126379513)
-
(1996)
Journal of Computational and Applied Mathematics
, vol.76
, Issue.1-2
, pp. 277-285
-
-
Hemker, P.W.1
-
21
-
-
0036556363
-
Discontinuous hp-finite element methods for advection-diffusion-reaction problems
-
1015.65067 10.1137/S0036142900374111 1897953
-
P. Houston C. Schwab E. Suli 2002 Discontinuous hp-finite element methods for advection-diffusion-reaction problems SIAM J. Numer. Anal. 39 6 2133 2163 1015.65067 10.1137/S0036142900374111 1897953
-
(2002)
SIAM J. Numer. Anal.
, vol.39
, Issue.6
, pp. 2133-2163
-
-
Houston, P.1
Schwab, C.2
Suli, E.3
-
22
-
-
33751100721
-
Mathematical principles of anisotropic mesh adaptation
-
W. Huang 2006 Mathematical principles of anisotropic mesh adaptation Commun. Comput. Phys. 1 276 310
-
(2006)
Commun. Comput. Phys.
, vol.1
, pp. 276-310
-
-
Huang, W.1
-
23
-
-
0037455650
-
Variational mesh adaptation II: Error estimates and monitor functions
-
DOI 10.1016/S0021-9991(02)00040-2, PII S0021999102000402
-
W. Huang W. Sun 2003 Variational mesh adaptation II: error estimates and monitor functions J. Comput. Phys. 184 619 648 1018.65140 10.1016/S0021-9991(02) 00040-2 1959407 (Pubitemid 36269987)
-
(2003)
Journal of Computational Physics
, vol.184
, Issue.2
, pp. 619-648
-
-
Huang, W.1
Sun, W.2
-
24
-
-
0018704408
-
A multidimensional upwind scheme with no crosswind diffusion
-
T.J.R. Hughes (eds). ASME New York
-
Hughes, T.J.R., Brooks, A.: A multidimensional upwind scheme with no crosswind diffusion. In: Hughes, T.J.R. (ed.) Finite Element Methods for Convection Dominated Flows. AMD, vol. 34, pp. 19-35. ASME, New York (1979)
-
(1979)
Finite Element Methods for Convection Dominated Flows. AMD
, vol.34
, pp. 19-35
-
-
Hughes, T.J.R.1
Brooks, A.2
-
25
-
-
0034310682
-
A numerical study of a posteriori error estimators for convection-diffusion equations
-
DOI 10.1016/S0045-7825(99)00440-5, PII S0045782599004405
-
V. John 2000 A numerical study of a posteriori error estimators for convection-diffusion equations Comput. Methods Appl. Mech. Eng. 190 5-7 757 781 0973.76049 10.1016/S0045-7825(99)00440-5 (Pubitemid 32051191)
-
(2000)
Computer Methods in Applied Mechanics and Engineering
, vol.190
, Issue.5-7
, pp. 757-781
-
-
John, V.1
-
26
-
-
33846912036
-
On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part I - A review
-
DOI 10.1016/j.cma.2006.11.013, PII S0045782506003926
-
V. John P. Knobloch 2007 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: part I-a review Comput. Methods Appl. Mech. Eng. 196 17-20 2197 2215 1173.76342 10.1016/j.cma.2006.11. 013 2302890 (Pubitemid 46238314)
-
(2007)
Computer Methods in Applied Mechanics and Engineering
, vol.196
, Issue.17-20
, pp. 2197-2215
-
-
John, V.1
Knobloch, P.2
-
27
-
-
40249116615
-
On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: Part II-analysis for P1 and Q1 finite elements
-
10.1016/j.cma.2007.12.019 2417168
-
V. John P. Knobloch 2008 On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations: part II-analysis for P1 and Q1 finite elements Comput. Methods Appl. Mech. Eng. 197 1997 2014 10.1016/j.cma.2007.12.019 2417168
-
(2008)
Comput. Methods Appl. Mech. Eng.
, vol.197
, pp. 1997-2014
-
-
John, V.1
Knobloch, P.2
-
28
-
-
0035567410
-
Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations
-
DOI 10.1023/A:1014294002686
-
T. Kang D. Yu 2001 Some a posteriori error estimates of the finite-difference streamline-diffusion method for convection-dominated diffusion equations Adv. Comput. Math. 15 193 218 0990.65103 10.1023/A:1014294002686 1887733 (Pubitemid 33634301)
-
(2001)
Advances in Computational Mathematics
, vol.15
, Issue.1-4
, pp. 193-218
-
-
Kang, T.1
Yu, D.2
-
29
-
-
0000501759
-
Moving mesh methods in multiple dimensions based on harmonic maps
-
DOI 10.1006/jcph.2001.6749
-
R. Li T. Tang P. Zhang 2001 Moving mesh methods in multiple dimensions based on harmonic maps J. Comput. Phys. 170 2 562 588 0986.65090 10.1006/jcph.2001.6749 1844903 (Pubitemid 33667091)
-
(2001)
Journal of Computational Physics
, vol.170
, Issue.2
, pp. 562-588
-
-
Li, R.1
Tang, T.2
Zhang, P.3
-
30
-
-
0037052068
-
A moving mesh finite element algorithm for singular problems in two and three space dimensions
-
0998.65105 10.1006/jcph.2002.7002 1897293
-
R. Li T. Tang P. Zhang 2002 A moving mesh finite element algorithm for singular problems in two and three space dimensions J. Comput. Phys. 177 2 365 393 0998.65105 10.1006/jcph.2002.7002 1897293
-
(2002)
J. Comput. Phys.
, vol.177
, Issue.2
, pp. 365-393
-
-
Li, R.1
Tang, T.2
Zhang, P.3
-
31
-
-
0034347979
-
Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
-
0966.65083 10.1093/imanum/20.4.621 1795300
-
T. Lin 2000 Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem IMA J. Numer. Anal. 20 621 632 0966.65083 10.1093/imanum/20.4.621 1795300
-
(2000)
IMA J. Numer. Anal.
, vol.20
, pp. 621-632
-
-
Lin, T.1
-
32
-
-
4243906064
-
The necessity of Shishkin decompositions
-
DOI 10.1016/S0893-9659(01)00061-1, PII S0893965901000611
-
T. Lin 2001 The necessity of Shishkin-decompositions Appl. Math. Lett. 14 891 896 0986.65071 10.1016/S0893-9659(01)00061-1 1849244 (Pubitemid 33675426)
-
(2001)
Applied Mathematics Letters
, vol.14
, Issue.7
, pp. 891-896
-
-
Linss, T.1
-
33
-
-
0037469547
-
Layer-adaped meshes for convection-diffusion problems
-
DOI 10.1016/S0045-7825(02)00630-8
-
T. Lin 2003 Layer-adapted meshes for convection-diffusion problems Comput. Methods Appl. Mech. Eng. 192 1061 1105 1022.76036 10.1016/S0045-7825(02) 00630-8 (Pubitemid 36290397)
-
(2003)
Computer Methods in Applied Mechanics and Engineering
, vol.192
, Issue.9-10
, pp. 1061-1105
-
-
Linss, T.1
-
34
-
-
17744363262
-
Numerical records on Shishkin method for linear convection-diffusion problems
-
DOI 10.1016/S0045-7825(00)00271-1, PII S0045782500002711
-
T. Lin M. Stynes 2001 Numerical methods on Shishkin meshes for linear convection-diffusion problems Comput. Methods Appl. Mech. Eng. 190 28 3527 3542 0988.76062 10.1016/S0045-7825(00)00271-1 (Pubitemid 32329475)
-
(2001)
Computer Methods in Applied Mechanics and Engineering
, vol.190
, Issue.28
, pp. 3527-3542
-
-
Linss, T.1
Stynes, M.2
-
35
-
-
0035616754
-
The SDFEM on Shishkin meshes for linear convection-diffusion problems
-
T. Lin M. Stynes 2001 The SDFEM on Shishkin meshes for linear convection-diffusion problems Numer. Math. 87 457 484 0969.65106 10.1007/PL00005420 1811645 (Pubitemid 33254946)
-
(2001)
Numerische Mathematik
, vol.87
, Issue.3
, pp. 457-484
-
-
Linss, T.1
Stynes, M.2
-
36
-
-
21844487877
-
On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems
-
0814.65082 10.1093/imanum/15.1.89 1311339
-
J.J.H. Miller E. O'Riordan G.I. Shishkin 1995 On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems IMA J. Numer. Anal. 15 89 99 0814.65082 10.1093/imanum/15.1.89 1311339
-
(1995)
IMA J. Numer. Anal.
, vol.15
, pp. 89-99
-
-
Miller, J.J.H.1
O'Riordan, E.2
Shishkin, G.I.3
-
39
-
-
84985376773
-
A Petrov-Galerkin mixed finite element method with exponential fitting
-
0840.65130 10.1002/num.1690110507
-
R.R.P.V. Nooyen 1995 A Petrov-Galerkin mixed finite element method with exponential fitting Numer. Methods Partial Differ. Equ. 11 5 501 524 0840.65130 10.1002/num.1690110507
-
(1995)
Numer. Methods Partial Differ. Equ.
, vol.11
, Issue.5
, pp. 501-524
-
-
Nooyen, R.R.P.V.1
-
40
-
-
0003455090
-
-
Springer Berlin 0844.65075
-
Roos, H.G., Stynes, M., Tobiska, L.: Numerical Methods for Singularly Perturbed Differential Equations. Springer Series in Computational Mathematics, vol. 24. Springer, Berlin (1996)
-
(1996)
Numerical Methods for Singularly Perturbed Differential Equations. Springer Series in Computational Mathematics
, vol.24
-
-
Roos, H.G.1
Stynes, M.2
Tobiska, L.3
-
41
-
-
0030490165
-
A note on the conditioning of upwind schemes on Shishkin meshes
-
0861.65066 10.1093/imanum/16.4.529 1414845
-
H.G.R.G. Roos 1996 A note on the conditioning of upwind schemes on Shishkin meshes IMA J. Numer. Anal. 16 529 0861.65066 10.1093/imanum/16.4.529 1414845
-
(1996)
IMA J. Numer. Anal.
, vol.16
, pp. 529
-
-
Roos, H.G.R.G.1
-
43
-
-
19844375925
-
Steady-state convection-diffusion problems
-
DOI 10.1017/S0962492904000261
-
M. Stynes 2005 Steady-state convection-diffusion problems Acta Numer. 14 445 508 1115.65108 10.1017/S0962492904000261 2170509 (Pubitemid 40763887)
-
(2005)
Acta Numerica
, vol.14
, pp. 445-508
-
-
Stynes, M.1
-
44
-
-
34248525081
-
A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem
-
1123.76343 10.1016/j.jcp.2006.11.005 2330304
-
P. Sun R.D. Russell J. Xu 2007 A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem J. Comput. Phys. 224 2 1021 1048 1123.76343 10.1016/j.jcp.2006.11.005 2330304
-
(2007)
J. Comput. Phys.
, vol.224
, Issue.2
, pp. 1021-1048
-
-
Sun, P.1
Russell, R.D.2
Xu, J.3
-
45
-
-
33846478749
-
Analysis of a new stabilized higher order finite element method for advection-diffusion equations
-
DOI 10.1016/j.cma.2006.05.009, PII S0045782506001678
-
L. Tobiska 2006 Analysis of a new stabilized higher order finite element method for advection-diffusion equations Comput. Methods Appl. Mech. Eng. 196 538 550 1120.76336 10.1016/j.cma.2006.05.009 2270145 (Pubitemid 46158192)
-
(2006)
Computer Methods in Applied Mechanics and Engineering
, vol.196
, Issue.1-3
, pp. 538-550
-
-
Tobiska, L.1
-
46
-
-
0033450269
-
A monotone finite element scheme for convection diffusion equations
-
0931.65111 10.1090/S0025-5718-99-01148-5 1654022
-
J. Xu L. Zikatanov 1999 A monotone finite element scheme for convection diffusion equations Math. Comput. 68 1429 1446 0931.65111 10.1090/S0025-5718-99- 01148-5 1654022
-
(1999)
Math. Comput.
, vol.68
, pp. 1429-1446
-
-
Xu, J.1
Zikatanov, L.2
-
47
-
-
4544232505
-
An adaptive mesh redistribution algorithm for convection-dominated problems
-
1008.65091 10.3934/cpaa.2002.1.341 1903002
-
Z. Zhang T. Tang 2002 An adaptive mesh redistribution algorithm for convection-dominated problems Commun. Pure Appl. Anal. 1 3 341 357 1008.65091 10.3934/cpaa.2002.1.341 1903002
-
(2002)
Commun. Pure Appl. Anal.
, vol.1
, Issue.3
, pp. 341-357
-
-
Zhang, Z.1
Tang, T.2
-
48
-
-
0038468648
-
Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
-
DOI 10.1090/S0025-5718-03-01486-8
-
Z.M. Zhang 2003 Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems Math. Comput. 72 243 1147 1177 1019.65091 10.1090/S0025-5718-03-01486-8 (Pubitemid 36737592)
-
(2003)
Mathematics of Computation
, vol.72
, Issue.243
, pp. 1147-1177
-
-
Zhang, Z.1
|