Name
Title | ||
|---|---|---|
A Weakly Overlapping Domain Decomposition Preconditioner for the Finite Element Solution of Elliptic Partial Differential Equations |
Abstract | ||
|---|---|---|
We present a new two-level additive Schwarz domain decomposition preconditioner which is appropriate for use in the parallel finite element solution of elliptic partial differential equations (PDEs). As with most parallel domain decomposition methods each processor may be assigned one or more subdomains, and the preconditioner is such that the processors are able to solve their own subproblem(s) concurrently. The novel feature of the technique proposed here is that it requires just a single layer of overlap in the elements which make up each subdomain at each level of refinement, and it is shown that this amount of overlap is sufficient to yield an optimal preconditioner. Some numerical experiments---posed in both two and three space dimensions---are included to confirm that the condition number when using the new preconditioner is indeed independent of the level of mesh refinement on the test problems considered. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1137/S1064827501361425 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
novel feature,weakly overlapping domain decomposition,schwarz domain decomposition preconditioner,optimal preconditioner,elliptic partial differential equations,finite element solution,new two-level additive,parallel finite element solution,parallel domain decomposition method,new preconditioner,elliptic partial differential equation,condition number,mesh refinement,domain decomposition | Discretization,Condition number,Mathematical optimization,Preconditioner,Mathematical analysis,Finite element method,Elliptic partial differential equation,Numerical analysis,Partial differential equation,Mathematics,Domain decomposition methods | Journal |
Volume | Issue | ISSN |
23 | 6 | 1064-8275 |
Citations | PageRank | References |
6 | 0.61 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Randolph E. Bank | 1 | 238 | 27.87 |
| Peter K. Jimack | 2 | 32 | 8.58 |
| Sarfraz A. Nadeem | 3 | 9 | 2.24 |
| Sergei V. Nepomnyaschikh | 4 | 6 | 0.61 |