In this work we derive and analyze a posteriori error estimators for low-order nonconforming finite element methods of the linear elasticity problem on both triangular and quadrilateral meshes, with hanging nodes allowed for local mesh refinement. First, it is shown that equilibrated Neumann data on
Flux reconstruction for the P2 nonconforming finite element method with application to a posteriori error estimation
β Scribed by Kwang-Yeon Kim
- Book ID
- 119192108
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 406 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0168-9274
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π SIMILAR VOLUMES
This paper focusses on a residual-based a posteriori error estimator for the L 2-error of the velocity for the nonconforming P~/Po-finite element discretization of the Stokes equations. We derive an a posteriori error estimator which yields a local lower as well as a global upper bound on the error.
We analyze an a posteriori error estimator for nonlinear parabolic differential equations in several space dimensions. The spatial discretization is carried out using the p-version of the finite element method. The error estimates are obtained by solving an elliptic problem at the desired times when