Name
Abstract | ||
|---|---|---|
We present iterative and preconditioning techniques for the solution of the linear systems resulting from several discontinuous Galerkin (DG) Interior Penalty (IP) discretizations of elliptic problems. We analyze the convergence properties of these algorithms for both symmetric and non-symmetric IP schemes. The iterative methods are based on a "natural" decomposition of the first order DG finite element space as a direct sum of the Crouzeix-Raviart non-conforming finite element space and a subspace that contains functions discontinuous at interior faces. We also present numerical examples confirming the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s10915-009-9293-1 | J. Sci. Comput. |
Keywords | Field | DocType |
first order,linear system,iteration method,discontinuous galerkin,finite element | Discontinuous Galerkin method,Convergence (routing),Mathematical optimization,Linear system,Iterative method,Mathematical analysis,Extended finite element method,Uniform convergence,Finite element method,Mathematics,Mixed finite element method | Journal |
Volume | Issue | ISSN |
40 | 1-3 | 1573-7691 |
Citations | PageRank | References |
11 | 0.72 | 14 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Blanca Ayuso De Dios | 1 | 33 | 2.85 |
| Ludmil Zikatanov | 2 | 189 | 25.89 |