Wavelet preconditioning of the Stokes problem in \({\psi}-{\omega}\) formulation (Q1587042)
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: Wavelet preconditioning of the Stokes problem in \({\psi}-{\omega}\) formulation |
scientific article; zbMATH DE number 1534779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelet preconditioning of the Stokes problem in \({\psi}-{\omega}\) formulation |
scientific article; zbMATH DE number 1534779 |
Statements
Wavelet preconditioning of the Stokes problem in \({\psi}-{\omega}\) formulation (English)
0 references
22 November 2000
0 references
The objective of this paper is to develop wavelet preconditioning techniques to solve efficiently the bi-Laplacian or the Stokes problem on a bidimensional domain in \({\psi} - {\omega}\) formulation. The diagonal preconditioning in wavelet basis enables one to obtain an optimal preconditioner for Galerkin discretizations of elliptic operators in Sobolev norms of both positive and negative smoothness.
0 references
psi-omega
0 references
wavelet preconditioning
0 references
multilevel preconditioners
0 references
bi-Laplacian
0 references
Stokes problem
0 references
diagonal preconditioning
0 references
Galerkin discretization
0 references
