Artículo

Adaptive control of local errors for elliptic problems using weighted Sobolev norms

Garau, Eduardo MarioIcon ; Morin, PedroIcon
Fecha de publicación: 07/2017
Editorial: John Wiley & Sons Inc
Revista: Numerical Methods For Partial Differential Equations
ISSN: 0749-159X
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We develop an a posteriori error estimator which focuses on the local H1 error on a region of interest. The estimator bounds a weighted Sobolev norm of the error and is efficient up to oscillation terms. The new idea is very simple and applies to a large class of problems. An adaptive method guided by this estimator is implemented and compared to other local estimators, showing an excellent performance. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1266–1282, 2017.
Palabras clave: A Posteriori Error Estimates , Elliptic Problems , Finite Elements , Local Estimates , Point Sources , Weighted Sobolev Spaces
 
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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-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/66105
DOI: https://dx.doi.org/10.1002/num.22142
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/num.22142
Colecciones
Articulos(CCT - SANTA FE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - SANTA FE
Citación
Garau, Eduardo Mario; Morin, Pedro; Adaptive control of local errors for elliptic problems using weighted Sobolev norms; John Wiley & Sons Inc; Numerical Methods For Partial Differential Equations; 33; 4; 7-2017; 1266-1282
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