A robust implementation of Zienkiewicz and Zhu's local patch recovery method

DOI10.1002/cnm.1640110507zbMath0823.65105OpenAlexW2075235250MaRDI QIDQ4836596

P. Labbe, André Garon

Publication date: 24 October 1995

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1640110507

zbMATH Keywords

finite elementrank deficiencyill- conditioninglocal patch recovery methodLU decomposition with partial pivoting

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (12)

A triangular finite element with local remeshing for the large strain analysis of axisymmetric solids ⋮ On a new edge-based gradient recovery technique ⋮ Superconvergent patch recovery technique for the finite element method in acoustics ⋮ Anisotropic mesh adaptation on Lagrangian coherent structures ⋮ Modelling and simulation of machining processes ⋮ A free surface updating methodology for marker function-based Eulerian free surface capturing techniques on unstructured meshes ⋮ Error estimates and adaptive finite element methods ⋮ Automatic adaptive FE analysis of thin-walled structures using 3D solid elements ⋮ New advances on a posteriori error on constitutive relation in f. e. analysis ⋮ Local error estimators for finite element linear analysis ⋮ Constitutive relation errror estimators for time-dependent nonlinear FE analysis ⋮ A new adaptive remeshing scheme based on the sensitivity analysis of the SPR point wise error estimation

Cites Work

• A simple error estimator and adaptive procedure for practical engineerng analysis
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• Patch recovery based on superconvergent derivatives and equilibrium

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