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 L2 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.
- Graded meshes
- Symmetric interior penalty method
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics