-
2
-
-
84985315731
-
A posteriori error estimates for the finite element method
-
Babuška I., and Rheinboldt W.C. A posteriori error estimates for the finite element method. Int. J. Numer. Method Engrg. 12 (1978) 1597
-
(1978)
Int. J. Numer. Method Engrg.
, vol.12
, pp. 1597
-
-
Babuška, I.1
Rheinboldt, W.C.2
-
3
-
-
0001585002
-
Error estimate procedure in the finite element method and application
-
Ladevèze P., and Leguillon D. Error estimate procedure in the finite element method and application. 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
-
8
-
-
0031443748
-
A posteriori finite element bounds for linear functional outputs of elliptic partial differential equations
-
Paraschivoiu M., Peraire J., and Patera A.T. A posteriori finite element bounds for linear functional outputs of elliptic partial differential equations. Comput. Method Appl. Mech. Engrg. 150 (1997) 289-312
-
(1997)
Comput. Method Appl. Mech. Engrg.
, vol.150
, pp. 289-312
-
-
Paraschivoiu, M.1
Peraire, J.2
Patera, A.T.3
-
9
-
-
0031123544
-
A feedback approach to error control in finite element methods: application to linear elasticity
-
Rannacher R., and Suttmeier F.T. A feedback approach to error control in finite element methods: application to linear elasticity. Comput. Mech. 19 (1997) 434-446
-
(1997)
Comput. Mech.
, vol.19
, pp. 434-446
-
-
Rannacher, R.1
Suttmeier, F.T.2
-
10
-
-
0000697809
-
A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem
-
Cirak F., and Ramm E. A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem. Comput. Method Appl. Mech. Engrg. 156 (1998) 351-362
-
(1998)
Comput. Method Appl. Mech. Engrg.
, vol.156
, pp. 351-362
-
-
Cirak, F.1
Ramm, E.2
-
11
-
-
27744498160
-
Bounds for linear-functional outputs of coercive partial differential equations; local indicators and adaptive refinements
-
Ladevèze, and Oden (Eds), Elsevier
-
Peraire J., and Patera A.T. Bounds for linear-functional outputs of coercive partial differential equations; local indicators and adaptive refinements. In: Ladevèze, and Oden (Eds). Advances in Adaptive Computational Methods in Mechanics (1998), Elsevier 199-216
-
(1998)
Advances in Adaptive Computational Methods in Mechanics
, pp. 199-216
-
-
Peraire, J.1
Patera, A.T.2
-
13
-
-
0032669875
-
On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors
-
Prudhomme S., and Oden J.T. On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors. Comput. Method Appl. Mech. Engrg. 176 (1999) 313-331
-
(1999)
Comput. Method Appl. Mech. Engrg.
, vol.176
, pp. 313-331
-
-
Prudhomme, S.1
Oden, J.T.2
-
14
-
-
0033640049
-
A posteriori estimation and adaptive control of the error in the quantity of interest - Part 1: A posteriori estimation of the error in the Von Mises stress and the stress intensity factors
-
Strouboulis T., Babuška I., Datta D., Copps K., and Gangaraj S.K. A posteriori estimation and adaptive control of the error in the quantity of interest - Part 1: A posteriori estimation of the error in the Von Mises stress and the stress intensity factors. Comput. Method Appl. Mech. Engrg. 181 (2000) 261-294
-
(2000)
Comput. Method Appl. Mech. Engrg.
, vol.181
, pp. 261-294
-
-
Strouboulis, T.1
Babuška, I.2
Datta, D.3
Copps, K.4
Gangaraj, S.K.5
-
15
-
-
85022001969
-
An optimal control approach to shape a posteriori error estimation in finite element methods
-
Isereles A. (Ed), Cambridge University Press
-
Becker R., and Rannacher R. An optimal control approach to shape a posteriori error estimation in finite element methods. In: Isereles A. (Ed). Acta Numerica vol. 10 (2001), Cambridge University Press 1-120
-
(2001)
Acta Numerica
, vol.10
, pp. 1-120
-
-
Becker, R.1
Rannacher, R.2
-
17
-
-
73449142697
-
3-D error estimation and mesh adaptation using improved R.E.P. method
-
Beckers P., and Dufeu E. 3-D error estimation and mesh adaptation using improved R.E.P. method. Stud. Appl. Mech. 47 (1998) 413-426
-
(1998)
Stud. Appl. Mech.
, vol.47
, pp. 413-426
-
-
Beckers, P.1
Dufeu, E.2
-
18
-
-
27744474569
-
Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems
-
Moitinho de Almeida J.P., and Almeida Pereira O.J.B. Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems. Comput. Method Appl. Mech. Engrg. 195 4-6 (2006) 279-296
-
(2006)
Comput. Method Appl. Mech. Engrg.
, vol.195
, Issue.4-6
, pp. 279-296
-
-
Moitinho de Almeida, J.P.1
Almeida Pereira, O.J.B.2
-
19
-
-
36849058122
-
A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems
-
Chamoin L., and Ladevèze P. A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems. Comput. Method Appl. Mech. Engrg. 197 9-12 (2008) 994-1014
-
(2008)
Comput. Method Appl. Mech. Engrg.
, vol.197
, Issue.9-12
, pp. 994-1014
-
-
Chamoin, L.1
Ladevèze, P.2
-
20
-
-
67650233442
-
Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free approach
-
Cottereau R., Diez P., and Huerta A. Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free approach. Comput. Mech. 44 4 (2009) 533-547
-
(2009)
Comput. Mech.
, vol.44
, Issue.4
, pp. 533-547
-
-
Cottereau, R.1
Diez, P.2
Huerta, A.3
-
21
-
-
74949087378
-
-
J. Panetier, P. Ladevèze, L. Chamoin, Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with the XFEM, Int. J. Numer. Method Engrg., doi:10.1002/nme.2705.
-
J. Panetier, P. Ladevèze, L. Chamoin, Strict and effective bounds in goal-oriented error estimation applied to fracture mechanics problems solved with the XFEM, Int. J. Numer. Method Engrg., doi:10.1002/nme.2705.
-
-
-
-
22
-
-
42449155099
-
Strict upper error bounds for calculated outputs of interest in computational structural mechanics
-
Ladevèze P. Strict upper error bounds for calculated outputs of interest in computational structural mechanics. Comput. Mech. 42 2 (2008) 271-286
-
(2008)
Comput. Mech.
, vol.42
, Issue.2
, pp. 271-286
-
-
Ladevèze, P.1
-
23
-
-
63249120603
-
Model verification in dynamics through strict upper error bounds
-
Ladevèze P., and Waeytens J. Model verification in dynamics through strict upper error bounds. Comput. Method Appl. Mech. Engrg. 198 21-26 (2009) 1775-1784
-
(2009)
Comput. Method Appl. Mech. Engrg.
, vol.198
, Issue.21-26
, pp. 1775-1784
-
-
Ladevèze, P.1
Waeytens, J.2
-
24
-
-
0002646068
-
Displacement and equilibrium models in the finite element method
-
Zienkiewicz, and Holister (Eds), Wiley, London (Chap. 9)
-
Fraeijs de Veubeke B.M. Displacement and equilibrium models in the finite element method. In: Zienkiewicz, and Holister (Eds). Stress Analysis (1965), Wiley, London (Chap. 9)
-
(1965)
Stress Analysis
-
-
Fraeijs de Veubeke, B.M.1
-
25
-
-
64849105855
-
Modèles équilibre pour l'analyse duale
-
Kempeneers M., Beckers P., Moitinho de Almeida J.P., and Pereira O.J.B.A. Modèles équilibre pour l'analyse duale. Revue Européenne des Éléments Finis 12 6 (2003) 737-760
-
(2003)
Revue Européenne des Éléments Finis
, vol.12
, Issue.6
, pp. 737-760
-
-
Kempeneers, M.1
Beckers, P.2
Moitinho de Almeida, J.P.3
Pereira, O.J.B.A.4
-
26
-
-
84966215690
-
Some a posteriori error estimators for elliptic partial differential equations
-
Bank R.E., and Weiser A. Some a posteriori error estimators for elliptic partial differential equations. Math. Comput. 44 (1985) 283
-
(1985)
Math. Comput.
, vol.44
, pp. 283
-
-
Bank, R.E.1
Weiser, A.2
-
27
-
-
38248999181
-
A priori error estimators for second-order elliptic systems. Part 2: An optimal order process for calculating self-equilibrating fluxes
-
Ainsworth M., and Oden J.T. A priori error estimators for second-order elliptic systems. Part 2: An optimal order process for calculating self-equilibrating fluxes. Comput. Math. Appl. 26 (1993) 75-87
-
(1993)
Comput. Math. Appl.
, vol.26
, pp. 75-87
-
-
Ainsworth, M.1
Oden, J.T.2
-
28
-
-
0030260884
-
A general method for recovering equilibrating element tractions
-
Ladevèze P., and Maunder E.A.W. A general method for recovering equilibrating element tractions. Comput. Method Appl. Mech. Engrg. 137 (1996) 111-151
-
(1996)
Comput. Method Appl. Mech. Engrg.
, vol.137
, pp. 111-151
-
-
Ladevèze, P.1
Maunder, E.A.W.2
-
29
-
-
0031359192
-
A general method for recovering equilibrating finite element tractions and stress fields for plates and solid elements
-
Ladevèze P., and Maunder E.A.W. A general method for recovering equilibrating finite element tractions and stress fields for plates and solid elements. Comput. Assist. Mech. Engrg. Sci. 4 (1997) 533-548
-
(1997)
Comput. Assist. Mech. Engrg. Sci.
, vol.4
, pp. 533-548
-
-
Ladevèze, P.1
Maunder, E.A.W.2
-
30
-
-
0031336961
-
New advances on a posteriori error on constitutive relation in finite element analysis
-
Ladevèze P., and Rougeot P. New advances on a posteriori error on constitutive relation in finite element analysis. Comput. Method Appl. Mech. Engrg. 150 (1997) 239-249
-
(1997)
Comput. Method Appl. Mech. Engrg.
, vol.150
, pp. 239-249
-
-
Ladevèze, P.1
Rougeot, P.2
-
31
-
-
0037200569
-
Evaluation of the local quality of stresses in 3D finite element analysis
-
Florentin E., Gallimard L., and Pelle J.P. Evaluation of the local quality of stresses in 3D finite element analysis. Comput. Method Appl. Mech. Engrg. 191 (2002) 4441-4457
-
(2002)
Comput. Method Appl. Mech. Engrg.
, vol.191
, pp. 4441-4457
-
-
Florentin, E.1
Gallimard, L.2
Pelle, J.P.3
-
32
-
-
0034134880
-
A flux-free nodal Neumann subproblem approach to output bounds for partial differential equations
-
Machiels L., Maday Y., and Patera A.T. A flux-free nodal Neumann subproblem approach to output bounds for partial differential equations. Comptes Rendus Académie des Sciences - Mécanique, Paris 330 1 (2000) 249-254
-
(2000)
Comptes Rendus Académie des Sciences - Mécanique, Paris
, vol.330
, Issue.1
, pp. 249-254
-
-
Machiels, L.1
Maday, Y.2
Patera, A.T.3
-
33
-
-
0033295738
-
Fully reliable localized error control in the FEM
-
Carstensen C., and Funken S.A. Fully reliable localized error control in the FEM. SIAM J. Sci. Comput. 21 4 (2000) 1465-1484
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, Issue.4
, pp. 1465-1484
-
-
Carstensen, C.1
Funken, S.A.2
-
34
-
-
0038129722
-
Local problems on stars: a posteriori error estimators, convergence, and performance
-
Morin P., Nochetto R.H., and Siebert K.G. Local problems on stars: a posteriori error estimators, convergence, and performance. Math. Comput. 72 243 (2003) 1067-1097
-
(2003)
Math. Comput.
, vol.72
, Issue.243
, pp. 1067-1097
-
-
Morin, P.1
Nochetto, R.H.2
Siebert, K.G.3
-
35
-
-
1642280490
-
Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems
-
Prudhomme S., Nobile F., Chamoin L., and Oden J.-T. Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems. Numer. Method Partial Differ. Eq. 20 2 (2004) 165-192
-
(2004)
Numer. Method Partial Differ. Eq.
, vol.20
, Issue.2
, pp. 165-192
-
-
Prudhomme, S.1
Nobile, F.2
Chamoin, L.3
Oden, J.-T.4
-
36
-
-
27744579060
-
Subdomain-based flux-free a posteriori error estimators
-
Pares N., Diez P., and Huerta A. Subdomain-based flux-free a posteriori error estimators. Comput. Method Appl. Mech. Engrg. 195 4-6 (2006) 297-323
-
(2006)
Comput. Method Appl. Mech. Engrg.
, vol.195
, Issue.4-6
, pp. 297-323
-
-
Pares, N.1
Diez, P.2
Huerta, A.3
-
37
-
-
69249149571
-
Guaranteed energy error bounds for the Poisson equation using a flux-free approach: solving the local problems in subdomains
-
Pares N., Santos H., and Diez P. Guaranteed energy error bounds for the Poisson equation using a flux-free approach: solving the local problems in subdomains. Int. J. Numer. Method Engrg. 79 10 (2009) 1203-1244
-
(2009)
Int. J. Numer. Method Engrg.
, vol.79
, Issue.10
, pp. 1203-1244
-
-
Pares, N.1
Santos, H.2
Diez, P.3
-
39
-
-
73449131384
-
Verification of finite element calculations: A new non-intrusive technique for the computation of admissible stress fields
-
Internal Report No. 270, LMT-Cachan, in French
-
P. Ladevèze, Verification of finite element calculations: a new non-intrusive technique for the computation of admissible stress fields, Internal Report No. 270, LMT-Cachan, 2008 (in French).
-
(2008)
-
-
Ladevèze, P.1
-
40
-
-
0028416772
-
Validation of a posteriori error estimators by numerical approach
-
Babuška I., Strouboulis T., Upadhyay C.S., Gangaraj S.K., and Copps K. Validation of a posteriori error estimators by numerical approach. Int. J. Numer. Method Engrg. 37 (1994) 1073-1123
-
(1994)
Int. J. Numer. Method Engrg.
, vol.37
, pp. 1073-1123
-
-
Babuška, I.1
Strouboulis, T.2
Upadhyay, C.S.3
Gangaraj, S.K.4
Copps, K.5
-
41
-
-
73449144642
-
-
www.samtech.com.
-
-
-
-
42
-
-
4344688564
-
Adaptive computations of a posteriori finite element output bounds: a comparison of the hybrid-flux approach and the flux-free approach
-
Choi H.W., and Paraschivoiu M. Adaptive computations of a posteriori finite element output bounds: a comparison of the hybrid-flux approach and the flux-free approach. Comput. Method Appl. Mech. Engrg. 193 36-38 (2004) 4001-4033
-
(2004)
Comput. Method Appl. Mech. Engrg.
, vol.193
, Issue.36-38
, pp. 4001-4033
-
-
Choi, H.W.1
Paraschivoiu, M.2
|