Superconvergence of DPG approximations in linear elasticity

Autor: Fleurianne Bertrand, Henrik Schneider
Rok vydání: 2023
Zdroj: ESAIM: Mathematical Modelling and Numerical Analysis.
ISSN: 2804-7214
2822-7840
DOI: 10.1051/m2an/2022071
Popis: 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 validates our theory.
Databáze: OpenAIRE