Approximation classes for adaptive higher order finite element approximation
We provide an almost characterization of the approximation classes appearing when using adaptive finite elements of Lagrange type of any fixed polynomial degree. The characterization is stated in terms of Besov regularity, and requires the approximation within spaces with integrability indices below...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/13319 |
| Acceso en línea: | http://hdl.handle.net/11336/13319 |
| Access Level: | acceso abierto |
| Palabra clave: | Adaptive Finite Elements Besov Spaces Convergence Rates Approximation Classes https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We provide an almost characterization of the approximation classes appearing when using adaptive finite elements of Lagrange type of any fixed polynomial degree. The characterization is stated in terms of Besov regularity, and requires the approximation within spaces with integrability indices below one. This article generalizes to higher order nite elements the results presented for linear nite elements by Binev et. al. |
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