An analysis technique for stabilized finite element solution of incompressible flows
This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup condition, plus a uniform separation property between bubble and velocity finite...
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2001 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47454 |
| Acesso em linha: | http://hdl.handle.net/11441/47454 https://doi.org/10.1051/m2an:2001107 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Oseen equations Finite elements Mixed methods Stabilized methods Discrete inf-sup condition Spectral methods Primitive equation |
| Resumo: | This paper presents an extension to stabilized methods of the standard technique for the numerical analysis of mixed methods. We prove that the stability of stabilized methods follows from an underlying discrete inf-sup condition, plus a uniform separation property between bubble and velocity finite element spaces. We apply the technique introduced to prove the stability of stabilized spectral element methods so as stabilized solution of the primitive equations of the ocean. |
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