Artículo

Direct estimates for adaptive time-stepping finite element methods

Actis, Marcelo JesúsIcon ; Gaspoz, Fernando DanielIcon ; Morin, PedroIcon ; Schneider, Cornelia; Schneider, Nick
Fecha de publicación: 04/2025
Editorial: Academic Press Inc Elsevier Science
Revista: Journal Of Complexity
ISSN: 0885-064X
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We study direct estimates for adaptive time-stepping finite element methods for time-dependent partial differential equations. Our results generalize previous findings from “On approximation classesfor adaptive time-stepping finite element methods” by Actis et al. (2023), where the approximation error was only measured in L2([0, T ], L2( )). In particular, we now also cover the error norms L∞([0, T ], L2( )) and L2([0, T ], H1( )) which are more natural in this context.
Palabras clave: DIRECT ESTIMATES , APPROXIMATION CLASSES , BESOV SPACES , ADATIVE TIME-STEPPING FINITE ELEMENT METHODS , NEAR-BEST APPROXIMATION
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/267151
URL: https://linkinghub.elsevier.com/retrieve/pii/S0885064X24000955
DOI: http://dx.doi.org/10.1016/j.jco.2024.101918
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Articulos(CCT - SANTA FE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Citación
Actis, Marcelo Jesús; Gaspoz, Fernando Daniel; Morin, Pedro; Schneider, Cornelia; Schneider, Nick; Direct estimates for adaptive time-stepping finite element methods; Academic Press Inc Elsevier Science; Journal Of Complexity; 87; 4-2025; 1-14
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