Artículo
Local problems on stars: A posteriori error estimators, convergence, and performance
Fecha de publicación:
07/2003
Editorial:
American Mathematical Society
Revista:
Mathematics of Computation
ISSN:
0025-5718
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
A new computable a posteriori error estimator is introduced, which relies on the solution of small discrete problems on stars. It exhibits built-in flux equilibration and is equivalent to the energy error up to data oscillation without any saturation assumption. A simple adaptive strategy is designed, which simultaneously reduces error and data oscillation, and is shown to converge without mesh pre-adaptation nor explicit knowledge of constants. Numerical experiments reveal a competitive performance, show extremely good effectivity indices, and yield quasi-optimal meshes.
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Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Morin, Pedro; Nochetto, Ricardo Horacio; Siebert, Kunibert G.; Local problems on stars: A posteriori error estimators, convergence, and performance; American Mathematical Society; Mathematics of Computation; 72; 243; 7-2003; 1067-1097
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