| Issue |
ESAIM: M2AN
Volume 57, Number 5, September-October 2023
|
|
|---|---|---|
| Page(s) | 2681 - 2699 | |
| DOI | https://doi.org/10.1051/m2an/2022071 | |
| Published online | 14 September 2023 | |
Superconvergence of DPG approximations in linear elasticity
1
University of Twente, Drienerlolaan 5, 7522 NB Enschede, Netherlands
2
Fakultät für Mathematik, Universität Duisburg-Essen, Thea-Leymann-Str. 9, 45127 Essen, Germany
* Corresponding author: fleurianne@gmail.com
Received:
14
March
2022
Accepted:
27
August
2022
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 confirm our theory.
Mathematics Subject Classification: 65N30
Key words: Discontinuous Petrov–Galerkin / linear elasticity
© The authors. Published by EDP Sciences, SMAI 2023
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