A method of discretization for the lagerström-cole model equation
A method of discretization for a non linear singularly perturbed boundary value problem is considered. It involves a certain number of steps, one of them including the application of Petrov-Galerkin finite element methods. The resulting scheme is called adjoint method scheme and is in some way relat...
- Autores:
-
Usón-Forniés, Fernando
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2000
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43736
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43736
http://bdigital.unal.edu.co/33834/
- Palabra clave:
- Singular perturbation problems
multigrid methods
finite elements
Petrov-Galerkin methods
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A method of discretization for a non linear singularly perturbed boundary value problem is considered. It involves a certain number of steps, one of them including the application of Petrov-Galerkin finite element methods. The resulting scheme is called adjoint method scheme and is in some way related to Niijima's scheme (cf. [11]). It is proved that this discretization provides existence and uniqueness of solution for a problem defined by the Lagerström- Cole model equation. Finally some numerical experiments compare the results obtained when the adjoint method scheme is used, as well as when Niijima's scheme or a direct finite element discretization are applied. |
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