A Nonoverlapping DD Preconditioner for a Weakly Over-Penalized Symmetric Interior Penalty Method

نویسندگان

  • Andrew T. Barker
  • Susanne C. Brenner
  • Eun-Hee Park
  • Li-Yeng Sung
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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تاریخ انتشار 2009