Title

A weakly over-penalized non-symmetric interior penalty method

Document Type

Article

Publication Date

4-14-2007

Abstract

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 satises quasi-optimal error estimates in both the energy norm and the L norm. Furthermore, there exists a simple block diagonal preconditioner that keeps the condition number of the discrete problem at the order of O(h ). Both theoretical and numerical results are presented. 2 -2

Publication Source (Journal or Book title)

Journal of Numerical Analysis, Industrial and Applied Mathematics

First Page

35

Last Page

48

This document is currently not available here.

Share

COinS