Abstract:We study cut finite element discretizations of a Darcy interface problem based on the mixed finite element pairs RT 0 ×P 0 , BDM 1 × P 0 , and RT 1 × P 1 . We show that the standard ghost penalty stabilization, often added in the weak forms of cut finite element methods for stability and control of the condition number of the resulting linear system matrix, pollutes the computed velocity field so the divergence-free property of the considered elements is lost. Therefore, we propose two corrections to the stand… Show more
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