Petrov-Galerkin methods for the transient advective-diffusive equation with sharp gradients
A Petrov–Galerkin formulation based on two different perturbations to the weighting functions is presented. These perturbations stabilize the oscillations that are normally exhibited by the numerical solution of the transient advective–diffusive equation in the vicinity of sharp gradients produced b...
| Autores: | , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 1994 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/166769 |
| Acceso en línea: | https://hdl.handle.net/2117/166769 |
| Access Level: | acceso abierto |
| Palabra clave: | Difference equations--Numerical solutions Research Report CIMNE Equacions diferencials--solucions numèriques Classificació AMS::65 Numerical analysis::65L Ordinary differential equations Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
| Sumario: | A Petrov–Galerkin formulation based on two different perturbations to the weighting functions is presented. These perturbations stabilize the oscillations that are normally exhibited by the numerical solution of the transient advective–diffusive equation in the vicinity of sharp gradients produced by transient loads and boundary layers. The formulation may be written as a generalization of the Galerkin Least-Square method. |
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