Name
Abstract | ||
|---|---|---|
In this paper, we consider domain decomposition preconditioners for a system of linear algebraic equations arising from the p-version of the FEM. We analyse several multi-level preconditioners for the Dirichlet problems in the sub-domains in two and three dimensions. It is proved that the condition number of the preconditioned system is bounded by a constant independent of the polynomial degree. Relations between the p-version of the FEM and the h-version are helpful in the interpretations of the results. Copyright (C) 2006 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1002/nla.489 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
solution of discretized equations,finite elements,Rayleigh-Ritz and Galerkin methods,finite methods,multigrid methods,domain decomposition,sparse matrices | Condition number,Mathematical optimization,Mathematical analysis,Degree of a polynomial,Algebraic equation,Finite element method,Dirichlet distribution,Sparse matrix,Domain decomposition methods,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
13 | 7 | 1070-5325 |
Citations | PageRank | References |
1 | 0.41 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sven Beuchler | 1 | 67 | 10.82 |
| Dietrich Braess | 2 | 225 | 28.90 |