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Indexed by:期刊论文

Date of Publication:2018-08-15

Journal:COMPUTERS & MATHEMATICS WITH APPLICATIONS

Included Journals:SCIE

Volume:76

Issue:4

Page Number:877-892

ISSN No.:0898-1221

Key Words:Nonconforming finite element; Polynomial; Quadrilateral meshes; Uniform convergence; Discrete de Rham complex

Abstract: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.