弹性力学的弱对称混合有限元分析

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

Mathematics of Computation Pub Date : 2022-06-29 DOI:10.1090/mcom/3865

P. Lederer, R. Stenberg

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引用次数: 4

摘要

我们考虑线性弹性的混合有限元方法，其中应力张量的对称性是弱强制的。对于几个已知的在不可压缩极限下一致有效的方法族，给出了先验和后验误差分析。推导了可压缩和不可压缩情况下的后验估计。数值算例验证了结果。

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Analysis of weakly symmetric mixed finite elements for elasticity

We consider mixed finite element methods for linear elasticity where the symmetry of the stress tensor is weakly enforced. Both an a priori and a posteriori error analysis are given for several known families of methods that are uniformly valid in the incompressible limit. A posteriori estimates are derived for both the compressible and incompressible cases. The results are verified by numerical examples.

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来源期刊

Mathematics of Computation 数学-应用数学

CiteScore

3.90

自引率

5.00%

发文量

审稿时长

7.0 months

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in computational mathematics. Areas covered include numerical analysis, computational discrete mathematics, including number theory, algebra and combinatorics, and related fields such as stochastic numerical methods. Articles must be of significant computational interest and contain original and substantial mathematical analysis or development of computational methodology.