Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the hp-FEM

Journal article

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. © 2007 Elsevier B.V. All rights reserved.

Authors: Vejchodský, T; Šolín, P

• Journal: Journal of Computational and Applied Mathematics
• Volume: 218
• Issue: 1
• Pages: 192-200
• Publication date: 2008-08-15
• DOI: 10.1016/j.cam.2007.04.044
• ISSN: 0377-0427