Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems
New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect to the standard ones. The modifications in the choice of the approximation spaces and in the stabilization term do not spoil the error estim...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/189469 |
| Acceso en línea: | http://hdl.handle.net/11336/189469 |
| Access Level: | acceso abierto |
| Palabra clave: | ADVECTION-DIFFUSION EQUATIONS DISCONTINUOUS GALERKIN METHODS EXPONENTIALLY FITTED SCHEMES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect to the standard ones. The modifications in the choice of the approximation spaces and in the stabilization term do not spoil the error estimates. These methods are then used for designing new exponentially fitted schemes for advection dominated equations. The presented numerical tests show the good performances of the proposed schemes. |
|---|