A Nonoverlapping DD Preconditioner for a Weakly Over-Penalized Symmetric Interior Penalty Method
نویسندگان
چکیده
A WEAKLY OVER-PENALIZED SYMMETRIC INTERIOR PENALTY METHOD SUSANNE C. BRENNER , LUKE OWENS , AND LI-YENG SUNG Abstract. We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the norm for both conforming and nonconforming meshes. Numerical results illustrating the performance of the method are also presented.
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