线性弹性中DPG近似的超收敛性

IF 1.9 3区 数学 Q2 Mathematics
F. Bertrand, H. Schneider
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引用次数: 0

摘要

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。
Superconvergence of DPG approximations in linear elasticity
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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来源期刊
CiteScore
2.70
自引率
5.30%
发文量
27
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.
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