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CCT-TR-2006-2
Title:
A Weakly Over-Penalized Non-Symmetric Interior Penalty Method
Authors:
Susanne C. Brenner, Department of Mathematics and Center for Computation
and Technology, Louisiana State University, Baton Rouge, LA 70803
Luke Owens, Department of Mathematics,
University of South Carolina, Columbia, SC 29208
Summary:
A weakly over-penalized nonsymmetric interior penalty method for second order
elliptic boundary value problems is considered in this paper. This method is consistent,
stable for any choice of the penalty parameter and satisfies quasi-optimal error estimates in
both the energy norm and the L2 norm. Furthermore, there exists a simple block diagonal
preconditioner that keeps the condition number of the discrete problem at the order of
O(h?2). Both theoretical and numerical results are presented.
Download Article:
CCT-TR-2006-2.pdf
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