publication . Other literature type . Article . 2017 . Embargo end date: 01 Jan 2013

Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity

Dörsek, Philipp; Melenk, Jens M.;
Open Access
  • Published: 02 Aug 2017
  • Publisher: ETH Zurich
  • Country: Switzerland
Abstract
We consider the extension of the p-robust equilibrated error estimator due to Braess, Pillwein and Schoberl to linear elasticity. We derive a formulation where the local mixed auxiliary problems do not require symmetry of the stresses. The resulting error estimator is p-robust, and the reliability estimate is also robust in the incompressible limit if quadratics are included in the approximation space. Extensions to other systems of linear second-order partial differential equations are discussed. Numerical simulations show only moderate deterioration of the effectivity index for a Poisson ratio close to 1 2 . 2010 Mathematical subject classification: 65N15; 65N...
Subjects
free text keywords: Applied Mathematics, Numerical Analysis, Computational Mathematics, Mathematics, Finite element method, Classical mechanics, Poisson's ratio, symbols.namesake, symbols, Linear elasticity, Estimator, Partial differential equation, Compressibility
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publication . Other literature type . Article . 2017 . Embargo end date: 01 Jan 2013

Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity

Dörsek, Philipp; Melenk, Jens M.;