Error estimators for advection–reaction–diffusion equations based on the solution of local problems
This paper deals with a posteriori error estimates for advection–reaction–diffusion equations. In particular, error estimators based on the solution of local problems are derived for a stabilized finite element method. These estimators are proved to be equivalent to the error, with equivalence const...
Autor Principal: | Araya, Rodolfo |
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Otros Autores: | Rodríguez, Rodolfo, Behrens R., Edwin Marcelo |
Formato: | Artículo |
Idioma: | English |
Publicado: |
Elsevier
2015
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Materias: | |
Acceso en línea: |
Journal of Computational and Applied Mathematics 206 |
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Sumario: |
This paper deals with a posteriori error estimates for advection–reaction–diffusion equations. In particular, error estimators based on the solution of local problems are derived for a stabilized finite element method. These estimators are proved to be equivalent to the error, with equivalence constants eventually depending on the physical parameters. Numerical experiments illustrating the performance of this approach are reported. |
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