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

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