Local error estimators for finite element linear analysis

Local error estimators on stresses, displacements, etc. are derived from constitutive relation error estimators. Examples show that they can be considered as an upper bound.

[1]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity , 1992 .

[2]  Anthony T. Patera,et al.  A hierarchical duality approach to bounds for the outputs of partial differential equations , 1998 .

[3]  Andre Garon,et al.  A robust implementation of Zienkiewicz and Zhu's local patch recovery method , 1995 .

[4]  B. H. V. Topping.  Advances in finite element technology , 1996 .

[5]  J. Peraire,et al.  A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations , 1997 .

[6]  Ivo Babuška,et al.  Accuracy estimates and adaptive refinements in finite element computations , 1986 .

[7]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[8]  J. Tinsley Oden,et al.  Advances in adaptive computational methods in mechanics , 1998 .

[9]  Pierre Ladevèze,et al.  New advances on a posteriori error on constitutive relation in f.e. analysis , 1997 .

[10]  J. Oden,et al.  A Posteriori Error Estimation in Finite Element Analysis , 2000 .

[11]  Ivo Babuška,et al.  A posteriori estimation and adaptive control of the pollution error in the h‐version of the finite element method , 1995 .

[12]  Pierre Ladevèze,et al.  Error Estimate Procedure in the Finite Element Method and Applications , 1983 .

[13]  P. Ladevèze,et al.  ERROR ESTIMATION AND ADAPTIVITY IN ELASTOPLASTICITY , 1996 .

[14]  Anthony T. Patera,et al.  Bounds for Linear–Functional Outputs of Coercive Partial Differential Equations : Local Indicators and Adaptive Refinement , 1998 .