Superconvergence of DPG approximations in linear elasticity

Fleurianne Bertrand; Henrik Schneider

doi:10.1051/m2an/2022071

Superconvergence of DPG approximations in linear elasticity

Fleurianne Bertrand^*, Henrik Schneider

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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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 confirm our theory.

Original language	English
Pages (from-to)	2681-2699
Number of pages	19
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume	57
Issue number	5
DOIs	https://doi.org/10.1051/m2an/2022071
Publication status	Published - 14 Sept 2023

Keywords

Discontinuous Petrov-Galerkin
Linear elasticity

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10.1051/m2an/2022071Licence: CC BY

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title = "Superconvergence of DPG approximations in linear elasticity",

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 confirm our theory.",

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AU - Bertrand, Fleurianne

AU - Schneider, Henrik

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PY - 2023/9/14

Y1 - 2023/9/14

N2 - 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.

AB - 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.

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KW - Linear elasticity

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Superconvergence of DPG approximations in linear elasticity

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