Multi-level biharmonic and bi-Helmholtz interpolation with application to the boundary element method (Q1595061)
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: Multi-level biharmonic and bi-Helmholtz interpolation with application to the boundary element method |
scientific article; zbMATH DE number 1559248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multi-level biharmonic and bi-Helmholtz interpolation with application to the boundary element method |
scientific article; zbMATH DE number 1559248 |
Statements
Multi-level biharmonic and bi-Helmholtz interpolation with application to the boundary element method (English)
0 references
11 November 2001
0 references
The interpolation problem reformulated in variational form is applied to the biharmonic and the bi-Helmholtz equations. Existence and uniqueness of the solution are proved in Sobolev spaces. The approximation properties of this interpolation are investigated. A multi-level method is presented which is based on a quadtree/octtree cell system generated by the interpolation points. Some applications to solving partial differential equations are outlined.
0 references
biharmonic equation
0 references
bi-Helmholtz equation
0 references
multi-level
0 references
quadtree
0 references
boundary element method
0 references
multi-level method
0 references
octtree cell system
0 references
quadtree cell system
0 references
0 references
0 references
0 references
0 references
