Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation (Q1906077)
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: Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation |
scientific article; zbMATH DE number 842128
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation |
scientific article; zbMATH DE number 842128 |
Statements
Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation (English)
0 references
2 June 1996
0 references
Some strategies to construct asymptotically optimal algorithms for solving boundary reductions of the Laplace equation in the interior and exterior of a polygon are studied. Construction of efficient matrix compression and preconditioning techniques for the harmonic Poincaré-Steklov interface operator of order 1 and its inverse is the main concern of the paper. This leads to asymptotically optimal algorithms for solving boundary reductions of the Laplace equation in the interior or exterior of a polygon.
0 references
boundary integral equations
0 references
multilevel preconditioning
0 references
asymptotically optimal algorithms
0 references
boundary reductions
0 references
Laplace equation
0 references
matrix compression
0 references
harmonic Poincaré-Steklov interface operator
0 references
0 references
0 references
0 references
0 references
