Error analysis of projection methods for non inf-sup stable mixed nite elements: The Navier-Stokes equations.
We obtain error bounds for a modi ed Chorin-Teman (Euler non- incremental) method for non inf-sup stable mixed nite elements ap- plied to the evolutionary Navier-Stokes equations. The analysis of the classical Euler non-incremental method is obtained as a particu- lar case. We prove that the modi ed...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/684670 |
| Acceso en línea: | http://hdl.handle.net/10486/684670 https://dx.doi.org/10.1007/s10915-017-0446-3 |
| Access Level: | acceso abierto |
| Palabra clave: | Projection methods Non inf-sup stable elements Navier-Stokes equations PSPG stabilization Matemáticas |
| Sumario: | We obtain error bounds for a modi ed Chorin-Teman (Euler non- incremental) method for non inf-sup stable mixed nite elements ap- plied to the evolutionary Navier-Stokes equations. The analysis of the classical Euler non-incremental method is obtained as a particu- lar case. We prove that the modi ed Euler non-incremental scheme has an inherent stabilization that allows the use of non inf-sup stable mixed nite elements without any kind of extra added stabilization. We show that it is also true in the case of the classical Chorin-Temam method. The relation of the methods with the so called pressure sta- bilized Petrov Galerkin method (PSPG) is established. We do not assume non-local compatibility conditions for the solution |
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