Title
A BDDC preconditioner for a symmetric interior penalty Galerkin method
Document Type
Article
Publication Date
1-1-2017
Abstract
We develop a nonoverlapping domain decomposition preconditioner for the symmetric interior penalty Galerkin method for heterogeneous elliptic problems. The preconditioner is based on balancing domain decomposition by constraints (BDDC). We show that the condition number of the preconditioned system satisfies similar estimates as those for conforming finite element methods. Corroborating numerical results are also presented.
Publication Source (Journal or Book title)
Electronic Transactions on Numerical Analysis
First Page
190
Last Page
214
Recommended Citation
Brenner, S., Park, E., & Sung, L. (2017). A BDDC preconditioner for a symmetric interior penalty Galerkin method. Electronic Transactions on Numerical Analysis, 46, 190-214. Retrieved from https://repository.lsu.edu/mathematics_pubs/120