Local residual-type error estimates for adaptive boundary element methods on closed curves

Autor:	Wolfgang L. Wendland, J. Saranen
Rok vydání:	1993
Předmět:	Mathematical optimization Operator (computer programming) Applied Mathematics Bounded function Applied mathematics Boundary (topology) Order (ring theory) Type error Galerkin method Residual Boundary element method Analysis Mathematics
Zdroj:	Applicable Analysis. 48:37-50
ISSN:	1563-504X 0003-6811
DOI:	10.1080/00036819308840148
Popis:	Considering the Galerkin boundary element methods and mesh families with bounded local mesh ratio we derive local error estimates such that the local error is bounded by a local residual together with some global terms which can be expected to be small. If the order of the boundary operator is non-negative and at most two, these estimates show that the local residual is a local error indicator. For the operators of the negative order we obtain the same conclusion if the mesh is β-regular. Our paper improves recent results of Wendland and Yu in several respects.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7381234b0f158a398232c970b1a477d4 https://doi.org/10.1080/00036819308840148 Zobrazit plný text záznamu