A Uniformly Robust H(DIV) Weak Galerkin Finite Element Methods for Brinkman Problems
Abstract
In this paper, we develop a uniform robust weak Galerkin finite element scheme for Brinkman equations. The major idea for achieving uniform energy-error estimate is to use a divergence preserving velocity reconstruction operator in the discretization. The optimal convergence results for velocity and pressure have been established in this paper. Finally, numerical examples are presented for validating the theoretical conclusions.
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© 2020, Society for Industrial and Applied Mathematics.
History
Submitted: 26 August 2019
Accepted: 10 March 2020
Published online: 11 May 2020
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