Title
A weakly over-penalized symmetric interior penalty method
Document Type
Article
Publication Date
12-1-2008
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 L norm for both conforming and nonconforming meshes. Numerical results illustrating the performance of the method are also presented. Copyright © 2008, Kent State University. 2
Publication Source (Journal or Book title)
Electronic Transactions on Numerical Analysis
First Page
107
Last Page
127
Recommended Citation
Brenner, S., Owens, L., & Sung, L. (2008). A weakly over-penalized symmetric interior penalty method. Electronic Transactions on Numerical Analysis, 30, 107-127. Retrieved from https://repository.lsu.edu/mathematics_pubs/167