| Título: | Local Problems on Stars: A Posteriori Error Estimators, Convergence, and Performance |
| Autores: |
Pedro Morin; IMAL-CONICET-UNL Ricardo H. Nochetto; University of Maryland Kunibert G. Siebert; University of Duesburg |
| Fecha: | 2006-06-24 |
| Publicador: | Cuadernos de Matemática y Mecánica |
| Fuente: |
 |
| Tipo: |
Articles |
| Tema: | No aplica |
| Descripción: | 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 preadaptation nor explicit knowledge of constants. Numerical experiments reveal a competitive performance, show extremely good effectivity indices, and yield quasi-optimal meshes. Keywords: A posteriori error estimators, local problems, stars, data oscillation, adaptivity, convergence, performance AMS Subject Classifications: 65N12, 65N15, 65N30, 65N50, 65Y20 Published: Mathematics of Computation 72 (2003), 1067-1097. |
| Idioma: | Inglés |
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