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论文类型：期刊论文

发表时间：2021-04-26

发表刊物：INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

卷号：98

期号：4

页面范围：758-782

ISSN号：0020-7160

关键字：Nonconforming finite element; polynomial; convex quadrilateral; singular perturbation; uniform convergence

摘要：This work proposes two nonconforming polynomial finite elements over general convex quadrilaterals. The first one is designed for fourth order elliptic singular perturbation problems, and the other works for Brinkman problems, approximating the velocity with piecewise constant pressure. We show the robustness of these methods, namely, the discrete solution converges uniformly in the given parameters of the corresponding model problem. Numerical examples are also provided.