Name
Title | ||
|---|---|---|
Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity. |
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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1515/cmam-2013-0007 | COMPUTATIONAL METHODS IN APPLIED MATHEMATICS |
Keywords | Field | DocType |
A Posteriori Error Estimates,Equilibration,Linear Elasticity,hp Finite Elements,Nearly Incompressibility | Compressibility,Applied mathematics,Poisson's ratio,Finite element method,Linear elasticity,Partial differential equation,Classical mechanics,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
13 | 3 | 1609-4840 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Philipp Dörsek | 1 | 2 | 1.46 |
| Jens Markus Melenk | 2 | 133 | 24.18 |