Title
Multigrid methods for the symmetric interior penalty method on graded meshes
Document Type
Article
Publication Date
6-1-2009
Abstract
The symmetric interior penalty (SIP) method on graded meshes and its fast solution by multigrid methods are studied in this paper. We obtain quasi-optimal error estimates in both the energy norm and the L norm for the SIP method, and prove uniform convergence of the W-cycle multigrid algorithm for the resulting discrete problem. The performance of these methods is illustrated by numerical results. © 2009 John Wiley & Sons, Ltd. 2
Publication Source (Journal or Book title)
Numerical Linear Algebra with Applications
First Page
481
Last Page
501
Recommended Citation
Brenner, S., Cui, J., & Sung, L. (2009). Multigrid methods for the symmetric interior penalty method on graded meshes. Numerical Linear Algebra with Applications, 16 (6), 481-501. https://doi.org/10.1002/nla.630