Energy norm a posteriori error estimates for discontinuous Galerkin approximations of the linear elasticity problem
Journal article, 2011
We present a residual-based a posteriori error estimate in an energy norm of the error in a family of discontinuous Galerkin approximations of linear elasticity problems. The theory is developed in two and three spatial dimensions and general nonconvex polygonal domains are allowed. We also present some illustrating numerical examples.
A posteriori error estimate
Elasticity
Adaptivity
fem
finite-element methods
Discontinuous Galerkin
Author
Peter F G Hansbo
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
M. G. Larson
Umeå University
Computer Methods in Applied Mechanics and Engineering
0045-7825 (ISSN)
Vol. 200 45-46 3026-3030Subject Categories
Computational Mathematics
DOI
10.1016/j.cma.2011.06.008