The Dual-Weighted Residual Estimator Realized on Polygonal Meshes

Autor:	Thomas Wick, Steffen Weißer
Rok vydání:	2017
Předmět:	Numerical Analysis Applied Mathematics Estimator 010103 numerical & computational mathematics Volume mesh 01 natural sciences Dual (category theory) 010101 applied mathematics Method of mean weighted residuals Computational Mathematics Polygon mesh 0101 mathematics Algorithm Mathematics
Zdroj:	Computational Methods in Applied Mathematics. 18:753-776
ISSN:	1609-9389 1609-4840
Popis:	In this work, we realize goal-oriented error estimation using the dual-weighted residual method on general polygonal meshes. Such meshes are of current interest in various applications thanks to their great flexibility. Specifically the discrete problems are treated on BEM-based FEM. Our dual-weighted residual estimator is derived for two localization procedures. Firstly, a classical (strong) localization. Secondly, a weak form is adopted in which localization is achieved with the help of a partition-of-unity. The dual (i.e., adjoint) solution is obtained via a local higher-order approximation using a single element. Our algorithmic developments are substantiated with the help of several numerical tests.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5efd48a271422f5133bd2d616ed4de68 https://doi.org/10.1515/cmam-2017-0046 Zobrazit plný text záznamu