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
Recommended Citation
Brenner, S., & Owens, L. (2007). A weakly over-penalized non-symmetric interior penalty method. Journal of Numerical Analysis, Industrial and Applied Mathematics, 2 (1-2), 35-48. Retrieved from https://repository.lsu.edu/mathematics_pubs/171