Superconvergence of DPG approximations in linear elasticity
Autor: | Fleurianne Bertrand, Henrik Schneider |
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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 |
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