A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation
We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via a fluctuation splitting algorithm. We prove a posteriori error estimates which allow us to perform mesh adaptivity in order to optimize the discretization of these equations. Nu...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/43303 |
| Acceso en línea: | http://hdl.handle.net/11441/43303 https://doi.org/10.1007/s10915-011-9514-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Convection-diffusion equation Finite elements Positive streamwise invariant scheme |
| Sumario: | We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via a fluctuation splitting algorithm. We prove a posteriori error estimates which allow us to perform mesh adaptivity in order to optimize the discretization of these equations. Numerical results confirm the interest of such an approach. |
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