Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642283 | Journal of Computational and Applied Mathematics | 2008 | 9 Pages |
Abstract
Static condensation of internal degrees of freedom, partial orthogonalization of basis functions, and ILU preconditioning are techniques used to facilitate the solution of discrete problems obtained in the hp-FEM. This paper shows that for symmetric linear (not necessarily positive-definite) problems, under mild technical assumptions, these three techniques are completely equivalent. In fact, the same matrices can be obtained by the same arithmetic operations. The study can be extended to nonsymmetric problems naturally.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tomáš Vejchodský, Pavel Šolín,