On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs (Q1849716)
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: On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs |
scientific article; zbMATH DE number 1837414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs |
scientific article; zbMATH DE number 1837414 |
Statements
On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs (English)
0 references
1 December 2002
0 references
Proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems are given. The nonlinear partial differential equations (PDEs) are known to have solutions by the monotone method. In particular it is shown that an additive Schwarz method for some scalar equations as well as systems converges on finitely many subdomains even in case that multiple solutions are possible.
0 references
monotone iteration
0 references
Schwarz alternating methods
0 references
nonlinear elliptic problems
0 references
convergence
0 references
nonlinear partial differential equations
0 references
additive Schwarz method
0 references
