Domain decomposition preconditioning for p-version finite elements with high aspect ratios

Autor:	G. Scott Lett, Jan Mandel
Rok vydání:	1991
Předmět:	Numerical Analysis Aspect ratio Preconditioner Applied Mathematics Domain decomposition methods Type (model theory) Finite element method Square (algebra) Algebra Computational Mathematics Applied mathematics Element (category theory) Condition number Mathematics
Zdroj:	Applied Numerical Mathematics. 8:411-425
ISSN:	0168-9274
Popis:	A recent domain decomposition type preconditioner for the p -version finite element method in two dimensions treats every element as a subdomain. We show that its condition number deteriorates as the square of the aspect ratio for thin elements, and develop an improved method whose condition number deteriorates only as the first power of the aspect ratio.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::759cf90e22ed7a6c85cea0bc83102910 https://doi.org/10.1016/0168-9274(91)90077-d Zobrazit plný text záznamu