Accurate pressure post-process of a finite element method for elastoacoustics
This paper deals with a post-process to obtain a more accurate approximation of the fluid pressure from a finite element computation of the vibration modes of a fluid-structure coupled system. The underlying finite element method, based on a displacement formulation for both media, consists of using...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/141687 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/141687 |
| Access Level: | acceso abierto |
| Palabra clave: | Matemática Ciencias Exactas fluid pressure computation Raviart-Thomas elements |
| Sumario: | This paper deals with a post-process to obtain a more accurate approximation of the fluid pressure from a finite element computation of the vibration modes of a fluid-structure coupled system. The underlying finite element method, based on a displacement formulation for both media, consists of using Raviart-Thomas elements for the fluid combined with standard continuous elements for the solid. An easy to compute post-process of the pressure is derived. The relation between this post-process and an alternative finite element approximation of the problem based on discretizing the fluid pressure by enriched Crouzeix-Raviart elements is studied. Higher order estimates for the L2 norm of the post-processed pressure are proved by exploiting this relation. As a by-product, higher order L2 estimates for the solid displacements obtained with the original method are also proved. |
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