A UNIFORMLY ROBUST H(DIV) WEAK GALERKIN FINITE ELEMENT METHODS FOR BRINKMAN PROBLEMS

摘要

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.