Superconvergence of DPG approximations in linear elasticity

IF 1.9 3区数学 Q2 Mathematics

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2022-09-19 DOI:10.1051/m2an/2022071

F. Bertrand, H. Schneider

引用次数: 0

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 validates our theory.

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线性弹性中DPG近似的超收敛性

改进了不连续Petrov-Galerkin法求解线性弹性问题的先验收敛结果。利用对偶参数，我们证明了位移可以得到更高的收敛速率。为了证明超收敛性，介绍了后处理技术，数值实验验证了我们的理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.