-
1
-
-
0000170864
-
The approximate arithmetical solution by finite differences of physical problems
-
L.F. Richardson The approximate arithmetical solution by finite differences of physical problems Trans. Roy. Soc. (London) A 210 1910 307-357
-
(1910)
Trans. Roy. Soc. (London) A
, vol.210
, pp. 307-357
-
-
Richardson, L.F.1
-
2
-
-
84985315731
-
A-posteriori error estimates for the finite element method
-
I. Babuška C. Rheinboldt A-posteriori error estimates for the finite element method Int. J. Numer. Methods Engrg. 12 1978 1597-1615
-
(1978)
Int. J. Numer. Methods Engrg.
, vol.12
, pp. 1597-1615
-
-
Babuška, I.1
Rheinboldt, C.2
-
3
-
-
0017938585
-
Adaptive approaches and reliability estimates in finite element analysis
-
I. Babuška C. Rheinboldt Adaptive approaches and reliability estimates in finite element analysis Comput. Methods Appl. Mech. Engrg. 17-18 1979 519-540
-
(1979)
Comput. Methods Appl. Mech. Engrg.
, vol.17-18
, pp. 519-540
-
-
Babuška, I.1
Rheinboldt, C.2
-
4
-
-
0026973251
-
A procedure for a posteriori error estimation for h-p finite element methods
-
M. Ainsworth J.T. Oden A procedure for a posteriori error estimation for h-p finite element methods Comput. Methods Appl. Mech. Engrg. 101 1992 73-96
-
(1992)
Comput. Methods Appl. Mech. Engrg.
, vol.101
, pp. 73-96
-
-
Ainsworth, M.1
Oden, J.T.2
-
5
-
-
0042255750
-
A unified approach to a posteriori error estimation using element residual methods
-
M. Ainsworth J.T. Oden A unified approach to a posteriori error estimation using element residual methods Numerische Mathematik 65 1993 23-50
-
(1993)
Numerische Mathematik
, vol.65
, pp. 23-50
-
-
Ainsworth, M.1
Oden, J.T.2
-
6
-
-
0023288565
-
A simple error estimator and adaptive procedure for practical engineering analysis
-
O.C. Zienkiewicz J.Z. Zhu A simple error estimator and adaptive procedure for practical engineering analysis Int. J. Numer. Methods Engrg. 24 1987 337-357
-
(1987)
Int. J. Numer. Methods Engrg.
, vol.24
, pp. 337-357
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
7
-
-
0015095659
-
On the calculation of consistent stress distributions in finite element applications
-
H.J. Brauchli J.T. Oden On the calculation of consistent stress distributions in finite element applications Int. J. Numer. Methods Engrg. 3 1971 317-325
-
(1971)
Int. J. Numer. Methods Engrg.
, vol.3
, pp. 317-325
-
-
Brauchli, H.J.1
Oden, J.T.2
-
8
-
-
0026981573
-
The superconvergent patch recovery (SPR) and adaptive finite element refinement
-
O.C. Zienkiewicz J.Z. Zhu The superconvergent patch recovery (SPR) and adaptive finite element refinement Comput. Methods Appl. Mech. Engrg. 101 1992 207-224
-
(1992)
Comput. Methods Appl. Mech. Engrg.
, vol.101
, pp. 207-224
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
9
-
-
0026866050
-
The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 1: The recovery technique
-
O.C. Zienkiewicz J.Z. Zhu The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 1: The recovery technique Int. J. Numer. Methods Engrg. 33 1992 1331-1364
-
(1992)
Int. J. Numer. Methods Engrg.
, vol.33
, pp. 1331-1364
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
10
-
-
0026869285
-
The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 2: Error estimates and adaptivity
-
O.C. Zienkiewicz J.Z. Zhu The superconvergent patch recovery (SPR) and a posteriori error estimates. Part 2: Error estimates and adaptivity Int. J. Numer. Methods Engrg. 33 1992 1365-1382
-
(1992)
Int. J. Numer. Methods Engrg.
, vol.33
, pp. 1365-1382
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
12
-
-
0027642884
-
Patch recovery based on superconvergent derivatives and equilibrium
-
N.-E. Wiberg F. Abdulwahab Patch recovery based on superconvergent derivatives and equilibrium Int. J. Numer. Methods Engrg. 36 1993 2703-2724
-
(1993)
Int. J. Numer. Methods Engrg.
, vol.36
, pp. 2703-2724
-
-
Wiberg, N.-E.1
Abdulwahab, F.2
-
13
-
-
0028531773
-
Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions
-
N.-E. Wiberg F. Abdulwahab S. Ziukas Enhanced superconvergent patch recovery incorporating equilibrium and boundary conditions Int. J. Numer. Methods Engrg. 37 1994 3417-3440
-
(1994)
Int. J. Numer. Methods Engrg.
, vol.37
, pp. 3417-3440
-
-
Wiberg, N.-E.1
Abdulwahab, F.2
Ziukas, S.3
-
15
-
-
3042983951
-
Error estimation and adaptive procedures based on superconvergent patch recovery (SPR)
-
N.-E. Wiberg F. Abdulwahab X.D. Li Error estimation and adaptive procedures based on superconvergent patch recovery (SPR) Arch. Computat. Methods Engrg. 4 3 1997 203-242
-
(1997)
Arch. Computat. Methods Engrg.
, vol.4
, Issue.3
, pp. 203-242
-
-
Wiberg, N.-E.1
Abdulwahab, F.2
Li, X.D.3
-
16
-
-
0028407162
-
A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles
-
I. Babuška T. Strouboulis C.S. Upadhyay A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles Comput. Methods Appl. Mech. Engrg. 114 1994 307-378
-
(1994)
Comput. Methods Appl. Mech. Engrg.
, vol.114
, pp. 307-378
-
-
Babuška, I.1
Strouboulis, T.2
Upadhyay, C.S.3
-
18
-
-
0041127816
-
An objective criterion for assessing the reliability of a posteriori error estimators in finite element computations
-
I. Babuška T. Strouboulis C.S. Upadhyay S.K. Gangaraj K. Copps An objective criterion for assessing the reliability of a posteriori error estimators in finite element computations USACM Bull. 7 1994 4-16
-
(1994)
USACM Bull.
, vol.7
, pp. 4-16
-
-
Babuška, I.1
Strouboulis, T.2
Upadhyay, C.S.3
Gangaraj, S.K.4
Copps, K.5
-
19
-
-
0029504921
-
A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method
-
I. Babuška T. Strouboulis C.S. Upadhyay K.S. Gangaraj A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method Int. J. Numer. Methods Engrg. 38 1995 4207-4235
-
(1995)
Int. J. Numer. Methods Engrg.
, vol.38
, pp. 4207-4235
-
-
Babuška, I.1
Strouboulis, T.2
Upadhyay, C.S.3
Gangaraj, K.S.4
-
20
-
-
0030871492
-
Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives
-
I. Babuška T. Strouboulis K.S. Gangaraj C.S. Upadhyay Pollution error in the h-version of the finite element method and the local quality of the recovered derivatives Comput. Methods Appl. Mech. Engrg. 140 1995 1-37
-
(1995)
Comput. Methods Appl. Mech. Engrg.
, vol.140
, pp. 1-37
-
-
Babuška, I.1
Strouboulis, T.2
Gangaraj, K.S.3
Upadhyay, C.S.4
-
23
-
-
0029408008
-
Notes on mesh optimal criteria in adaptive finite element computations
-
L.Y. Li P. Bettess Notes on mesh optimal criteria in adaptive finite element computations Commun. Numer. Methods Engrg. 11 1995 911-915
-
(1995)
Commun. Numer. Methods Engrg.
, vol.11
, pp. 911-915
-
-
Li, L.Y.1
Bettess, P.2
-
24
-
-
0027643930
-
A study of mesh optimality criteria in adaptive finite element analysis
-
E. Oñate G. Bugeda A study of mesh optimality criteria in adaptive finite element analysis Engrg. Computat. 10 1993 307-321
-
(1993)
Engrg. Computat.
, vol.10
, pp. 307-321
-
-
Oñate, E.1
Bugeda, G.2
-
25
-
-
0032628284
-
A unified approach to remeshing strategies for finite element h-adaptivity
-
P. Díez A. Huerta A unified approach to remeshing strategies for finite element h-adaptivity Comput. Methods Appl. Mech. Engrg. 176 1999 215-229
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.176
, pp. 215-229
-
-
Díez, P.1
Huerta, A.2
-
26
-
-
27744456701
-
Flux free residual a posteriori error estimators yielding simultaneous upper and lower bounds of the error
-
N.E. Wiberg, P. Díez, (Eds.), CIMNE, October
-
A. Huerta, N. Parés, P. Díez, Flux free residual a posteriori error estimators yielding simultaneous upper and lower bounds of the error, in: N.E. Wiberg, P. Díez, (Eds.), Adaptive Modeling and Simulation, vol. 1, CIMNE, October 2003, pp. 75-76.
-
(2003)
Adaptive Modeling and Simulation
, vol.1
, pp. 75-76
-
-
Huerta, A.1
Parés, N.2
Díez, P.3
-
27
-
-
27744494651
-
Local constitutive relation error for mises stresses in 3d elasticity
-
N.E. Wiberg, P. Díez, (Eds.), CIMNE, October
-
E. Florentin, L. Gallimard, P. Ladevèze, J.P. Pelle, P. Rougeot, Local constitutive relation error for mises stresses in 3d elasticity, in: N.E. Wiberg, P. Díez, (Eds.), Adaptive Modeling and Simulation, vol. 1, CIMNE, October 2003, pp. 73-74.
-
(2003)
Adaptive Modeling and Simulation
, vol.1
, pp. 73-74
-
-
Florentin, E.1
Gallimard, L.2
Ladevèze, P.3
Pelle, J.P.4
Rougeot, P.5
-
28
-
-
27744599889
-
Computing bounds for functional outputs of exact solutions of partial differential equations
-
N.E. Wiberg, P. Díez, (Eds.), CIMNE, October
-
J. Peraire, Computing bounds for functional outputs of exact solutions of partial differential equations, in: N.E. Wiberg, P. Díez, (Eds.), Adaptive Modeling and Simulation, vol. 1, CIMNE, October 2003, pp. 4-5.
-
(2003)
Adaptive Modeling and Simulation
, vol.1
, pp. 4-5
-
-
Peraire, J.1
-
29
-
-
27744593268
-
Guaranteed bounds for linear outputs of interest in elasticity
-
N.E. Wiberg, P. Díez, (Eds.), CIMNE, October
-
N. Parés, J. Bonet, A. Huerta, J. Peraire, Guaranteed bounds for linear outputs of interest in elasticity, in: N.E. Wiberg, P. Díez, (Eds.), Adaptive Modeling and Simulation, vol. 1, CIMNE, October 2003, pp. 78-79.
-
(2003)
Adaptive Modeling and Simulation
, vol.1
, pp. 78-79
-
-
Parés, N.1
Bonet, J.2
Huerta, A.3
Peraire, J.4
-
30
-
-
0002646068
-
Displacement and equilibrium models in finite element method
-
O.C. Zienkiewicz G.S. Holister (Eds.) John Wiley and Sons Chichester
-
B. Fraeijs de Veubeke Displacement and equilibrium models in finite element method in: O.C. Zienkiewicz G.S. Holister (Eds.) Stress Analysis 1965 John Wiley and Sons Chichester 145-197
-
(1965)
Stress Analysis
, pp. 145-197
-
-
Fraeijs de Veubeke, B.1
-
31
-
-
0003390440
-
Bending and stretching of plates. Special models for upper and lower bounds
-
AFFDL-TR-66-80, Wright Patterson Air force Base, Ohio, October
-
B. Fraeijs de Veubeke, Bending and stretching of plates. Special models for upper and lower bounds, in: Proc. First Conf. Matrix Methods in Structural Mechanics, vol. AFFDL-TR-66-80, Wright Patterson Air force Base, Ohio, October 1966, pp. 863-886.
-
(1966)
Proc. First Conf. Matrix Methods in Structural Mechanics
, pp. 863-886
-
-
Fraeijs de Veubeke, B.1
-
32
-
-
84965905157
-
Strain energy bounds in finite element analysis by slab analogy
-
B. Fraeijs de Veubeke O.C. Zienkiewicz Strain energy bounds in finite element analysis by slab analogy J. Strain Anal. 2 1967 265-271
-
(1967)
J. Strain Anal.
, vol.2
, pp. 265-271
-
-
Fraeijs de Veubeke, B.1
Zienkiewicz, O.C.2
-
33
-
-
0021482394
-
The self-equilibration of residuals and complementary a posteriori error estimates in the finite element method
-
D.W. Kelly The self-equilibration of residuals and complementary a posteriori error estimates in the finite element method Int. J. Numer. Methods Engrg. 20 1984 1491-1506
-
(1984)
Int. J. Numer. Methods Engrg.
, vol.20
, pp. 1491-1506
-
-
Kelly, D.W.1
-
34
-
-
0001585002
-
Error estimate procedure in the finite element method and applications
-
P. Ladevèze D. Leguillon Error estimate procedure in the finite element method and applications SIAM J. Numer. Anal. 20 3 1983 485-509
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, Issue.3
, pp. 485-509
-
-
Ladevèze, P.1
Leguillon, D.2
-
35
-
-
0002669359
-
Accuracy of elastoplastic and dynamic analysis
-
I. Babuška, O.C. Zienkiewicz, J. Gago, E.R. de A. Oliviera, (Eds.), Chapter 11
-
P. Ladevèze, G. Coffignal, J.P. Pelle, Accuracy of elastoplastic and dynamic analysis, in: I. Babuška, O.C. Zienkiewicz, J. Gago, E.R. de A. Oliviera, (Eds.), Accuracy Estimates and Adaptive Refinements in Finite Element Computations, 1986, Chapter 11.
-
(1986)
Accuracy Estimates and Adaptive Refinements in Finite Element Computations
-
-
Ladevèze, P.1
Coffignal, G.2
Pelle, J.P.3
-
36
-
-
84966215690
-
Some a posteriori error estimators for elliptic partial differential equations
-
R.E. Bank A. Weiser Some a posteriori error estimators for elliptic partial differential equations Math. Computat. 44 1985 283-301
-
(1985)
Math. Computat.
, vol.44
, pp. 283-301
-
-
Bank, R.E.1
Weiser, A.2
-
38
-
-
0021441740
-
The post-processing approach in the finite element method. Part 1: Calculation of displacements, stresses and other higher derivatives of displacements
-
I. Babuška A. Miller The post-processing approach in the finite element method. Part 1: Calculation of displacements, stresses and other higher derivatives of displacements Int. J. Numer. Methods Engrg. 20 1984 1085-1109
-
(1984)
Int. J. Numer. Methods Engrg.
, vol.20
, pp. 1085-1109
-
-
Babuška, I.1
Miller, A.2
-
39
-
-
0021440959
-
The post-processing approach in the finite element method. Part 2: The calculation of stress intensity factors
-
I. Babuška A. Miller The post-processing approach in the finite element method. Part 2: The calculation of stress intensity factors Int. J. Numer. Methods Engrg. 20 1984 1111-1129
-
(1984)
Int. J. Numer. Methods Engrg.
, vol.20
, pp. 1111-1129
-
-
Babuška, I.1
Miller, A.2
-
40
-
-
0021695793
-
The post-processing approach in the finite element method. Part 3: A posteriori error estimates and adaptive mesh selection
-
I. Babuška A. Miller The post-processing approach in the finite element method. Part 3: A posteriori error estimates and adaptive mesh selection Int. J. Numer. Methods Engrg. 20 1984 2311-2324
-
(1984)
Int. J. Numer. Methods Engrg.
, vol.20
, pp. 2311-2324
-
-
Babuška, I.1
Miller, A.2
-
41
-
-
0031443748
-
A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
-
Symposium on Advances in Computational Mechanics, vol. 2 (Austin, TX, 1997)
-
M. Paraschivoiu, J. Peraire, A.T. Patera, A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations, Comput. Methods Appl. Mech. Engrg. 150(1-4):289-312 1997. Symposium on Advances in Computational Mechanics, vol. 2 (Austin, TX, 1997).
-
(1997)
Comput. Methods Appl. Mech. Engrg.
, vol.150
, Issue.1-4
, pp. 289-312
-
-
Paraschivoiu, M.1
Peraire, J.2
Patera, A.T.3
-
42
-
-
0032624694
-
Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
-
J. Peraire A.T. Patera Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations Comput. Methods Appl. Mech. Engrg. 171 1-2 1999 77-86
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.171
, Issue.1-2
, pp. 77-86
-
-
Peraire, J.1
Patera, A.T.2
-
43
-
-
0035922230
-
A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem
-
L. Machiels J. Peraire A.T. Patera A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem J. Computat. Phys. 172 2 2001 401-425
-
(2001)
J. Computat. Phys.
, vol.172
, Issue.2
, pp. 401-425
-
-
Machiels, L.1
Peraire, J.2
Patera, A.T.3
-
44
-
-
0033131520
-
A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
-
Y. Maday A.T. Patera J. Peraire A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem C. R. Acad. Sci. Paris Sér. I Math. 328 9 1999 823-828
-
(1999)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.328
, Issue.9
, pp. 823-828
-
-
Maday, Y.1
Patera, A.T.2
Peraire, J.3
-
45
-
-
27744442426
-
A general Lagrangian formulation for the computation of a posteriori finite element bounds
-
Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics Springer Berlin
-
A.T. Patera J. Peraire A general Lagrangian formulation for the computation of a posteriori finite element bounds in: Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics Lecture Notes Computer Science Engineering vol. 25 2003 Springer Berlin 159-206
-
(2003)
Lecture Notes Computer Science Engineering
, vol.25
, pp. 159-206
-
-
Patera, A.T.1
Peraire, J.2
-
46
-
-
0003216290
-
Output bound approximations for partial differential equations; application to the incompressible Navier-Stokes equations
-
Industrial and Environmental Applications of Direct and Large-eddy Simulation (Istanbul 1998) Springer, Berlin
-
L. Machiels, J. Peraire, A.T. Patera, Output bound approximations for partial differential equations; application to the incompressible Navier-Stokes equations, in: Industrial and Environmental Applications of Direct and Large-eddy Simulation (Istanbul 1998), Lecture Notes in Physics, vol. 529, Springer, Berlin, 1999, pp. 93-108.
-
(1999)
Lecture Notes in Physics
, vol.529
, pp. 93-108
-
-
Machiels, L.1
Peraire, J.2
Patera, A.T.3
-
48
-
-
0033639755
-
Error estimation including pollution assessment for nonlinear finite element analysis
-
A. Huerta P. Díez Error estimation including pollution assessment for nonlinear finite element analysis Comput. Methods Appl. Mech. Engrg. 181 2000 21-41
-
(2000)
Comput. Methods Appl. Mech. Engrg.
, vol.181
, pp. 21-41
-
-
Huerta, A.1
Díez, P.2
-
49
-
-
0037436460
-
Recovering lower bounds of the error postprocessing implicit residual a posteriori error estimates
-
P. Díez N. Parés A. Huerta Recovering lower bounds of the error postprocessing implicit residual a posteriori error estimates Int. J. Numer. Methods Engrg. 56 2003 1465-1488
-
(2003)
Int. J. Numer. Methods Engrg.
, vol.56
, pp. 1465-1488
-
-
Díez, P.1
Parés, N.2
Huerta, A.3
|