Orthogonal compactly supported functions in eigenvalue problems (Q1395287)
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: Orthogonal compactly supported functions in eigenvalue problems |
scientific article; zbMATH DE number 1940655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal compactly supported functions in eigenvalue problems |
scientific article; zbMATH DE number 1940655 |
Statements
Orthogonal compactly supported functions in eigenvalue problems (English)
0 references
1 July 2003
0 references
The author shows that orthogonal compactly supported piecewise linear functions that are generalizations of B-splines of the first degree are unfit for finite-element methods based on the Lagrange variational principle. A mixed finite-element method based on these functions and the Reissner variational principle is proposed for solving eigenvalue problems. The efficiency of the method is confirmed by accuracy estimates for approximate eigenfunctions and eigenvalues.
0 references
boundary eigenvalue problems
0 references
supported functions
0 references
splines
0 references
finite-element method
0 references
variational principle
0 references
grid equations
0 references
approximate solution
0 references
