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In this paper, we present a conforming discontinuous Galerkin (CDG) finiteelement method for Brinkman equations. The velocity stabilizer is removed byemploying the higher degree polynomials to compute the weak gradient. Thetheoretical analysis shows that the CDG method is actually stable and accuratefor the Brinkman equations. Optimal order error estimates are established in$H^1$ and $L^2$ norm. Finally, numerical experiments verify the stability andaccuracy of the CDG numerical scheme.

A conforming discontinuous Galerkin finite element method for Brinkman equations