Error estimation including pollution assessment for nonlinear finite element analysis

By Antonio Huerta, Pedro Díez. 2000

52 citations recorded by the source corpus.

A residual type error estimator for nonlinear finite element analysis is introduced. This error estimator solves local problems avoiding both the computation of the flux jumps and the associated flux splitting procedure. Pollution errors are taken into account by a feedback strategy, that is, an error estimate based on local computations is used as the input of the pollution analysis. This estimator is used in the frame of an adaptive procedure. Numerical examples show that the estimator is able to drive adaptive procedures leading to likely good solutions. Moreover, one of the examples demonstrates that adaptive procedures are essential for complex highly nonlinear mechanical problems because they may discover secondary collapse mechanisms.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ceb1a16c8021dd1e2ce44fd9d1a2f574ab8cbaae

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Enrichment and coupling of the finite element and meshless methods (2000, methodology): “Moreover, an adaptive error analysis [20; 21] has been conducted up to convergence.”
Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems (2013, background): “It is important to note that in wave problems, local adaptivity in Ωint cannot lead to this goal because of pollution errors [61].”