Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions

Abstract In this paper, we develop a Nitsche’s type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The stability and optimal error estimates of this new stabilized method are also derived.

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