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.
fem
Adaptivity
A posteriori error estimate
Elasticity
finite-element methods
Discontinuous Galerkin
Author
Peter F G Hansbo
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
M. G. Larson
Umea universitet
Computer Methods in Applied Mechanics and Engineering
0045-7825 (ISSN)
Vol. 200 45-46 3026-3030Subject Categories (SSIF 2011)
Computational Mathematics
DOI
10.1016/j.cma.2011.06.008