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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:218

Article; Proceedings Paper

Vejchodsky, Tomas¹  Solin, Pavel^2,3 

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[2] Acad Sci Czech Republ, Inst Thermomechan, Prague 18200 8, Czech Republic

[3] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

关键词: hp-FEM;    static condensation;    orthogonal shape functions;    ILU preconditioning;   

DOI  :  10.1016/j.cam.2007.04.044

来源: Elsevier

【 摘 要 】

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. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free