Name
Title | ||
|---|---|---|
Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains |
Abstract | ||
|---|---|---|
Error analysis for a stable C 0 interior penalty method is derived for general fourth order problems on polygonal domains under minimal regularity assumptions on the exact solution. We prove that this method exhibits quasi-optimal order of convergence in the discrete H 2, H 1 and L 2 norms. L 驴 norm error estimates are also discussed. Theoretical results are demonstrated by numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s10915-012-9612-9 | J. Sci. Comput. |
Keywords | Field | DocType |
order problem,norm error estimate,numerical experiment,minimal regularity assumption,exact solution,interior penalty method,discrete h,error analysis,fourth order problems,polygonal domains,polygonal domain,quasi-optimal order,mathematics | Exact solutions in general relativity,Discontinuous Galerkin method,Mathematical optimization,Polygon,Mathematical analysis,Fourth order,Finite element method,Rate of convergence,Mathematics,Penalty method | Journal |
Volume | Issue | ISSN |
54 | 1 | 1573-7691 |
Citations | PageRank | References |
3 | 0.43 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thirupathi Gudi | 1 | 135 | 14.43 |
| Hari Shanker Gupta | 2 | 8 | 2.30 |
| Neela Nataraj | 3 | 58 | 10.77 |