On approximation classes for adaptive time-stepping finite element methods

Autor:	Marcelo Actis, Pedro Morin, Cornelia Schneider
Rok vydání:	2022
Předmět:	Computational Mathematics Applied Mathematics General Mathematics
Zdroj:	IMA Journal of Numerical Analysis.
ISSN:	1464-3642 0272-4979
DOI:	10.1093/imanum/drac056
Popis:	We study approximation classes for adaptive time-stepping finite element methods for time-dependent partial differential equations. We measure the approximation error in $L_2([0,T)\times \varOmega )$ and consider the approximation with discontinuous finite elements in time and continuous finite elements in space, of any degree. As a by-product we define anisotropic Besov spaces for Banach-space-valued functions on an interval and derive some embeddings, as well as Jackson- and Whitney-type estimates.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::defcccc0e313fd8d2886f4af6e1164ed https://doi.org/10.1093/imanum/drac056 Zobrazit plný text záznamu