-
1
-
-
0000613724
-
Error estimates for adaptive finite element computations
-
I. Babuška and W. C. Rheinboldt, Error estimates for adaptive finite element computations, SIAM J Numer Anal 15 (1978), 736-754.
-
(1978)
SIAM J Numer Anal
, vol.15
, pp. 736-754
-
-
Babuška, I.1
Rheinboldt, W.C.2
-
2
-
-
84985315731
-
A posteriori error estimators in the finite element method
-
I. Babuška and W. C. Rheinboldt, A posteriori error estimators in the finite element method, Internat J Numer Meth Engrg 12 (1978), 1597-1615.
-
(1978)
Internat J Numer Meth Engrg
, vol.12
, pp. 1597-1615
-
-
Babuška, I.1
Rheinboldt, W.C.2
-
3
-
-
0042255750
-
A unified approach to a posteriori error estimation using finite element residual methods
-
M. Ainsworth and J. T. Oden, A unified approach to a posteriori error estimation using finite element residual methods, Numer Math 65 (1993), 23-50.
-
(1993)
Numer Math
, vol.65
, pp. 23-50
-
-
Ainsworth, M.1
Oden, J.T.2
-
4
-
-
84991770920
-
-
(Yamaguchi, of Lect Notes Comput Sci Eng, Springer, Berlin
-
I. Babuška and T. Strouboulis, Can we trust the computational analysis of engineering problems? Mathematical modeling and numerical simulation in continuum mechanics (Yamaguchi, 2000), Vol. 19 of Lect Notes Comput Sci Eng, pp 169-183. Springer, Berlin, 2002.
-
(2000)
Can We Trust the Computational Analysis of Engineering Problems? Mathematical Modeling and Numerical Simulation in Continuum Mechanics
, vol.19
, pp. 169-183
-
-
Babuška, I.1
Strouboulis, T.2
-
5
-
-
0038467428
-
-
ETH Zurich, Birkhauser Verlag, Basel
-
W. Bangerth and R. Rannacher, Adaptive finite element methods for differential equations, Lectures in Mathematics, ETH Zurich, Birkhauser Verlag, Basel, 2003.
-
(2003)
Adaptive Finite Element Methods for Differential Equations, Lectures in Mathematics
-
-
Bangerth, W.1
Rannacher, R.2
-
6
-
-
84966215690
-
Some a posteriori error estimators for elliptic partial differential equations
-
R. E. Bank and A. Weiser, Some a posteriori error estimators for elliptic partial differential equations, Math Comp 44(170) (1985), 283-301.
-
(1985)
Math Comp
, vol.44
, Issue.170
, pp. 283-301
-
-
Bank, R.E.1
Weiser, A.2
-
7
-
-
0000439778
-
-
Handb Numer Anal, V, North-Holland, Amsterdam
-
G. Caloz and J. Rappaz, Numerical analysis for nonlinear and bifurcation problems, Handbook of numerical analysis, Vol. 5, Handb Numer Anal, V, pp 487-637. North-Holland, Amsterdam, 1997.
-
(1997)
Numerical Analysis for Nonlinear and Bifurcation Problems, Handbook of Numerical Analysis
, vol.5
, pp. 487-637
-
-
Caloz, G.1
Rappaz, J.2
-
8
-
-
0009522795
-
Introduction to adaptive methods for differential equations
-
Acta Numer, Cambridge University Press, Cambridge
-
K. Eriksson, D. Estep, P. Hansbo, and C. Johnson, Introduction to adaptive methods for differential equations, Acta numerica, 1995, Acta Numer, pp. 105-158, Cambridge University Press, Cambridge, 1995.
-
(1995)
Acta Numerica
, pp. 105-158
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
9
-
-
85021895182
-
Adjoint methods for PDEs: A posteriori error analysis and postprocessing by duality
-
M. G. Giles and E. Suli, Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality, Acta Numer 11 (2002), 145-236.
-
(2002)
Acta Numer
, vol.11
, pp. 145-236
-
-
Giles, M.G.1
Suli, E.2
-
10
-
-
14544277377
-
-
of Lect Notes Comput Sci Eng, Springer, Berlin
-
J. Hoffman and C. Johnson, Adaptive finite element methods for incompressible fluid flow, Error estimation and adaptive discretization methods in computational fluid dynamics, Vol. 25 of Lect Notes Comput Sci Eng, pp 97-157. Springer, Berlin, 2003.
-
(2003)
Adaptive Finite Element Methods for Incompressible Fluid Flow, Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics
, vol.25
, pp. 97-157
-
-
Hoffman, J.1
Johnson, C.2
-
11
-
-
0036865855
-
Estimation of modeling error in computational mechanics
-
J. T. Oden and S. Prudhomme, Estimation of modeling error in computational mechanics, J Comput Phys 182(2) (2002), 496-515.
-
(2002)
J Comput Phys
, vol.182
, Issue.2
, pp. 496-515
-
-
Oden, J.T.1
Prudhomme, S.2
-
12
-
-
84968521915
-
A posteriori error estimates for nonlinear problems finite element discretizations of elliptic equations
-
R. Verfurth, A posteriori error estimates for nonlinear problems finite element discretizations of elliptic equations, Math Comp 62(206) (1994), 445-475.
-
(1994)
Math Comp
, vol.62
, Issue.206
, pp. 445-475
-
-
Verfurth, R.1
-
13
-
-
0039523647
-
Aposteriori error estimates for nonlinear problems finite element discretizations of parabolic equations
-
R. Verfurth, Aposteriori error estimates for nonlinear problems finite element discretizations of parabolic equations, Math Comp 67(224) (1998), 1335-1360.
-
(1998)
Math Comp
, vol.67
, Issue.224
, pp. 1335-1360
-
-
Verfurth, R.1
-
14
-
-
0034461033
-
Adaptive finite element methods for optimal control of partial differential equations: Basic concept
-
R. Becker, H. Kapp, and R. Rannacher, Adaptive finite element methods for optimal control of partial differential equations: basic concept, SIAM J Control Optim 39(1) (2000), 113-132 (electronic).
-
(2000)
SIAM J Control Optim
, vol.39
, Issue.1
, pp. 113-132
-
-
Becker, R.1
Kapp, H.2
Rannacher, R.3
-
15
-
-
0141645572
-
Adaptive finite element approximation for distributed elliptic optimal control problems
-
R. Li, W. Liu, H. Ma, and T. Tang, Adaptive finite element approximation for distributed elliptic optimal control problems, SIAM J Control Optim 41(5) (2002), 1321-1349 (electronic).
-
(2002)
SIAM J Control Optim
, vol.41
, Issue.5
, pp. 1321-1349
-
-
Li, R.1
Liu, W.2
Ma, H.3
Tang, T.4
-
16
-
-
0242641435
-
A posteriori error estimates for optimal control problems governed by parabolic equations
-
W. Liu and N. Yan, A posteriori error estimates for optimal control problems governed by parabolic equations, Numer Math 93(3) (2003), 497-521.
-
(2003)
Numer Math
, vol.93
, Issue.3
, pp. 497-521
-
-
Liu, W.1
Yan, N.2
-
17
-
-
0033270542
-
Interpolation of non-smooth functions on anisotropic finite element meshes
-
T. Apel, Interpolation of non-smooth functions on anisotropic finite element meshes, M2AN Math Model Numer Anal 33(6) (1999), 1149-1185.
-
(1999)
M2AN Math Model Numer Anal
, vol.33
, Issue.6
, pp. 1149-1185
-
-
Apel, T.1
-
18
-
-
0037143094
-
Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD. III. Unstructured meshes
-
J. Dompierre, M.-G. Vallet, Y. Bourgault, M. Fortin, and W. Habashi, Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. III. Unstructured meshes, Internat J Numer Methods Fluids 39(8) (2002), 675-702.
-
(2002)
Internat J Numer Methods Fluids
, vol.39
, Issue.8
, pp. 675-702
-
-
Dompierre, J.1
Vallet, M.-G.2
Bourgault, Y.3
Fortin, M.4
Habashi, W.5
-
19
-
-
0035602908
-
New anisotropic a priori error estimates
-
L. Formaggia and S. Perotto, New anisotropic a priori error estimates, Numer Math 89(4) (2001), 641-667.
-
(2001)
Numer Math
, vol.89
, Issue.4
, pp. 641-667
-
-
Formaggia, L.1
Perotto, S.2
-
20
-
-
0142118651
-
Anisotropic error estimates for elliptic problems
-
L. Formaggia and S. Perotto, Anisotropic error estimates for elliptic problems, Numer Math 94(1) (2003), 67-92.
-
(2003)
Numer Math
, vol.94
, Issue.1
, pp. 67-92
-
-
Formaggia, L.1
Perotto, S.2
-
21
-
-
0034161524
-
Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD. I. General principles
-
W. G. Habashi, J. Dompierre, Y. Bourgault, D. Ait-Ali-Yahia, M. Fortin, and M.-G. Vallet, Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. I. General principles, Int J Numer Methods Fluids 32(6) (2000), 725-744.
-
(2000)
Int J Numer Methods Fluids
, vol.32
, Issue.6
, pp. 725-744
-
-
Habashi, W.G.1
Dompierre, J.2
Bourgault, Y.3
Ait-Ali-Yahia, D.4
Fortin, M.5
Vallet, M.-G.6
-
22
-
-
0040366472
-
Stabilized Galerkin methods and layer-adapted grids for elliptic problems
-
R. Hangleiter and G. Lube, Stabilized Galerkin methods and layer-adapted grids for elliptic problems, Comput Methods Appl Mech Engrg 166(1-2) (1998), 165-182.
-
(1998)
Comput Methods Appl Mech Engrg
, vol.166
, Issue.1-2
, pp. 165-182
-
-
Hangleiter, R.1
Lube, G.2
-
23
-
-
0034394001
-
Ana posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
-
G. Kunert, Ana posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes, Numer Math 86(3) (2000), 471-490.
-
(2000)
Numer Math
, vol.86
, Issue.3
, pp. 471-490
-
-
Kunert, G.1
-
24
-
-
0039372640
-
Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes
-
G. Kunert and R. Verfurth, Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes, Numer Math 86(2) (2000), 283-303.
-
(2000)
Numer Math
, vol.86
, Issue.2
, pp. 283-303
-
-
Kunert, G.1
Verfurth, R.2
-
25
-
-
0042931313
-
An anisotropic error indicator based on Zienkiewicz-Zhu error estimator: Application to elliptic and parabolic problems
-
M. Picasso, An anisotropic error indicator based on Zienkiewicz-Zhu error estimator: application to elliptic and parabolic problems, SIAM J Sci Comp 24(4) (2003), 1328-1355.
-
(2003)
SIAM J Sci Comp
, vol.24
, Issue.4
, pp. 1328-1355
-
-
Picasso, M.1
-
26
-
-
0030530686
-
An a posteriori error estimator for anisotropic refinement
-
K. G. Siebert, An a posteriori error estimator for anisotropic refinement, Numer Math 73(3) (1996), 373-398.
-
(1996)
Numer Math
, vol.73
, Issue.3
, pp. 373-398
-
-
Siebert, K.G.1
-
27
-
-
33846635611
-
Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives
-
M. Picasso, Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives, Comp Meth Appl Mech Eng (2006), to appear.
-
(2006)
Comp Meth Appl Mech Eng
-
-
Picasso, M.1
-
28
-
-
0002679574
-
Survey lectures on the mathematical foundations of the finite element method
-
(Proc. Sympos., Univ. Maryland, Baltimore, MD, Academic Press, New York
-
I. Babuška and A. K. Aziz, Survey lectures on the mathematical foundations of the finite element method, The mathematical foundations of the finite element method with applications to partial differential equations (Proc. Sympos., Univ. Maryland, Baltimore, MD, 1972), pp. 1-359. Academic Press, New York, 1972.
-
(1972)
The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations
, pp. 1-359
-
-
Babuška, I.1
Aziz, A.K.2
-
29
-
-
0003542431
-
-
Springer-Verlag, Berlin, Evolution problems. II
-
R. Dautray and J.-L. Lions, Mathematical analysis and numerical methods for science and technology. Vol. 6, Springer-Verlag, Berlin, 1993, Evolution problems. II.
-
(1993)
Mathematical Analysis and Numerical Methods for Science and Technology
, vol.6
-
-
Dautray, R.1
Lions, J.-L.2
-
31
-
-
0037280081
-
Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator
-
M. Picasso, Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator, Comm Numer Methods Engrg 19(1) (2003), 13-23.
-
(2003)
Comm Numer Methods Engrg
, vol.19
, Issue.1
, pp. 13-23
-
-
Picasso, M.1
-
32
-
-
0003491412
-
-
Technical Report RT-0194, Institut National de Recherche en Informatique et Automatique (INRIA), Rocquencourt, 78153 Le Chesnay, France
-
H. Borouchaki and P. Laug, The BL2D mesh generator: Beginner’s guide, user’s and programmer’s manual, Technical Report RT-0194, Institut National de Recherche en Informatique et Automatique (INRIA), Rocquencourt, 78153 Le Chesnay, France, 1996.
-
(1996)
The BL2D Mesh Generator: Beginner’s Guide, user’s and programmer’s Manual
-
-
Borouchaki, H.1
Laug, P.2
-
33
-
-
0016541865
-
Approximation by finite element functions using local regularization
-
P. Clement, Approximation by finite element functions using local regularization, RAIRO Anal Numer 9 (1975), 77-84.
-
(1975)
RAIRO Anal Numer
, vol.9
, pp. 77-84
-
-
Clement, P.1
-
34
-
-
0024734345
-
Analysis of the Zienkiewicz-Zhu a posteriori error estimator in the finite element method
-
M. Ainsworth, J. Z. Zhu, A. W. Craig, and O. C. Zienkiewicz, Analysis of the Zienkiewicz-Zhu a posteriori error estimator in the finite element method, Internat J Numer Methods Engrg 28(9) (1989), 2161-2174.
-
(1989)
Internat J Numer Methods Engrg
, vol.28
, Issue.9
, pp. 2161-2174
-
-
Ainsworth, M.1
Zhu, J.Z.2
Craig, A.W.3
Zienkiewicz, O.C.4
-
35
-
-
0023288565
-
A simple error estimator and adaptive procedure for practical engineering analysis
-
O. C. Zienkiewicz and J. Z. Zhu, A simple error estimator and adaptive procedure for practical engineering analysis, Int J Numer Methods Engrg 24(2) (1987), 337-357.
-
(1987)
Int J Numer Methods Engrg
, vol.24
, Issue.2
, pp. 337-357
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
36
-
-
0026866050
-
The superconvergent patch recovery and a posteriori error estimates. I. The recovery technique
-
O. C. Zienkiewicz and J. Z. Zhu, The superconvergent patch recovery and a posteriori error estimates. I. The recovery technique, Int J Numer Methods Engrg 33(7) (1992), 1331-1364.
-
(1992)
Int J Numer Methods Engrg
, vol.33
, Issue.7
, pp. 1331-1364
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
37
-
-
0031102111
-
A posteriori error estimation in finite element analysis
-
M. Ainsworth and J. T. Oden, A posteriori error estimation in finite element analysis, Comput Methods Appl Mech Engrg 142(1-2) (1997), 1-88.
-
(1997)
Comput Methods Appl Mech Engrg
, vol.142
, Issue.1-2
, pp. 1-88
-
-
Ainsworth, M.1
Oden, J.T.2
-
38
-
-
0028495110
-
Some remarks on Zienkiewicz-Zhu estimator
-
R. Rodriguez, Some remarks on Zienkiewicz-Zhu estimator, Numer Methods Partial Differential Eq 10(5) (1994), 625-635.
-
(1994)
Numer Methods Partial Differential Eq
, vol.10
, Issue.5
, pp. 625-635
-
-
Rodriguez, R.1
-
39
-
-
0028407162
-
A model study of the quality of a posteriori estimators for linear elliptic problems error estimation in the interior of patchwise uniform grids of triangles
-
I. Babuška, T. Strouboulis, and C. S. Upadhyay, A model study of the quality of a posteriori estimators for linear elliptic problems error estimation in the interior of patchwise uniform grids of triangles, Comp Meth Appl Mech Eng 114(4) (1994), 307-378.
-
(1994)
Comp Meth Appl Mech Eng
, vol.114
, Issue.4
, pp. 307-378
-
-
Babuška, I.1
Strouboulis, T.2
Upadhyay, C.S.3
-
40
-
-
2942668558
-
Analysis of recovery type a posteriori error estimators for mildly structured grids
-
J. Xu and Z. Zhang, Analysis of recovery type a posteriori error estimators for mildly structured grids, Math Comp 73(247) (2004), 1139-1152 (electronic).
-
(2004)
Math Comp
, vol.73
, Issue.247
, pp. 1139-1152
-
-
Xu, J.1
Zhang, Z.2
-
41
-
-
2442519202
-
Power formulation for the optimal control of an industrial induction heating process for thixoforming
-
A. Masserey, J. Rappaz, R. Rozsnyo, and R. Touzani, Power formulation for the optimal control of an industrial induction heating process for thixoforming, Int J Appl Electromagn Mech 19(1-4) (2004), 51-56.
-
(2004)
Int J Appl Electromagn Mech
, vol.19
, Issue.1-4
, pp. 51-56
-
-
Masserey, A.1
Rappaz, J.2
Rozsnyo, R.3
Touzani, R.4
-
42
-
-
2642534570
-
Optimal control of an induction heating process for thixoforming
-
A. Masserey, J. Rappaz, R. Rozsnyo, and R. Touzani, Optimal control of an induction heating process for thixoforming, IEEE Trans Magn 40(3) (2004), 1664-1671.
-
(2004)
IEEE Trans Magn
, vol.40
, Issue.3
, pp. 1664-1671
-
-
Masserey, A.1
Rappaz, J.2
Rozsnyo, R.3
Touzani, R.4
|