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发布时间：2019-03-12

论文类型：期刊论文

发表时间：2018-08-15

发表刊物：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录刊物：SCIE

卷号：76

期号：4

页面范围：877-892

ISSN号：0898-1221

关键字：Nonconforming finite element; Polynomial; Quadrilateral meshes; Uniform convergence; Discrete de Rham complex

摘要：This work provides a new mixed finite element method for the Brinkman problem over arbitrary convex quadrilateral meshes. The velocity is approximated by piecewise polynomial element space which is H(div)-nonconforming, and the pressure is approximated by piecewise constant. We give the convergence analysis of our element, and especially show the robustness with respect to the Darcy limit. Moreover, via a discrete de Rham complex, a higher-order approximation error term is obtained for incompressible flow. Numerical examples verify our theoretical findings. (C) 2018 Elsevier Ltd. All rights reserved.