Superconvergence of discontinuous Petrov-Galerkin approximations in linear elasticity
Numerical Analysis
2022-09-20 v1 Numerical Analysis
Abstract
Existing a priori convergence results of the discontinuous Petrov-Galerkin method to solve the problem of linear elasticity are improved. Using duality arguments, we show that higher convergence rates for the displacement can be obtained. Post-processing techniques are introduced in order to prove superconvergence and numerical experiments {\color{black} confirm} our theory.
Keywords
Cite
@article{arxiv.2209.08859,
title = {Superconvergence of discontinuous Petrov-Galerkin approximations in linear elasticity},
author = {Fleurianne Bertrand and Henrik Schneider},
journal= {arXiv preprint arXiv:2209.08859},
year = {2022}
}