Name
Abstract | ||
|---|---|---|
In this paper we consider domain decomposition preconditioners based on a vertex-oriented (VO) decomposition of the computational domain. In element-oriented (EO) decompositions, each element of the grid belongs to a different domain, while in VO decompositions each vertex belongs to a different subdomain. Based on VO decompositions, we present some preconditioners for the solution of the original system, as well as for that of the Schur complement system. Theoretical properties are investigated for a finite element approximation of an elliptic problem. Numerical results and comparison with state-of-the-art preconditioners are also reported. The numerical results presented here show the effectiveness of the proposed preconditioners and their good scalability properties. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/04061057X | SIAM J. Scientific Computing |
Keywords | Field | DocType |
domain decomposition,computational domain,different subdomain,state-of-the-art preconditioners,original system,proposed preconditioners,interface-strip domain decomposition preconditioner,vo decomposition,numerical result,finite element approximation,different domain | Preconditioner,Mathematical analysis,Finite element method,Numerical analysis,Partial differential equation,Elliptic curve,Domain decomposition methods,Multigrid method,Mathematics,Schur complement | Journal |
Volume | Issue | ISSN |
28 | 2 | 1064-8275 |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alfio Quarteroni | 1 | 341 | 44.82 |
| Marzio Sala | 2 | 73 | 7.89 |
| Alberto Valli | 3 | 79 | 17.01 |