On the super-approximation property of Galerkin's method with finite elements

Autor:	S. Prössdorf
Rok vydání:	1991
Předmět:	Approximation property Applied Mathematics Mathematical analysis Hilbert space Céa's lemma Finite element method Mathematics::Numerical Analysis Computational Mathematics Elliptic operator symbols.namesake Discontinuous Galerkin method Collocation method symbols Galerkin method Mathematics
Zdroj:	Numerische Mathematik. 59:711-722
ISSN:	0945-3245 0029-599X
DOI:	10.1007/bf01385805
Popis:	For Galerkin's method with finite elements as trial functions for strongly elliptic operator equations in the Hilbert scaleH t the super-approximation property and the optimal convergence rate are obtained by using the Aubin-Nitsche lemma. This applies in particular to spline collocation methods for a wide class of pseudodifferential equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::87d7fd4df2bbd79e8eeb3d5b860b68f4 https://doi.org/10.1007/bf01385805 Zobrazit plný text záznamu Full text from SpringerLink