Total overlapping Schwarz preconditioners for elliptic problems (Q2836469)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Total overlapping Schwarz preconditioners for elliptic problems |
scientific article; zbMATH DE number 6183196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total overlapping Schwarz preconditioners for elliptic problems |
scientific article; zbMATH DE number 6183196 |
Statements
3 July 2013
0 references
cracked or perforated domains
0 references
Laplace boundary value problems
0 references
total overlapping Schwarz preconditioner
0 references
minimum residual Krylov algorithms
0 references
numerical zooms
0 references
convergence
0 references
Laplace equation
0 references
generalized minimal residual (GMRES) method
0 references
0.93728435
0 references
0.9303869
0 references
0.93000674
0 references
0.9289189
0 references
0.92680997
0 references
0.9265982
0 references
0 references
0.91665286
0 references
Total overlapping Schwarz preconditioners for elliptic problems (English)
0 references
The authors are concerned with some boundary value problems attached to the Laplace equation on cracked or perforated domains. They split the problem into two subproblems, one formulated away from the cracks and another one in the neighborhood of cracks or perforations (holes). They are connected through some transmission conditions established in the total overlapping Schwarz (TOS) method. The convergence analysis of TOS is carried out. Some hints for those interested in TOS implementation as an independent algorithm or as a preconditioner to the generalized minimal residual (GMRES) method are provided.
0 references
