On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
We consider higher order mixed finite element methods for the incompressible Stokes or Navier-Stokes equations with <i>Q<i/><sub><i>r<i/><sub/>-elements for the velocity and discontinuous -elements for the pressure where the order <i>r<i/> can vary fro...
Guardado en:
| Autores principales: | , |
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| Formato: | Article (Journal) |
| Lenguaje: | inglés |
| Publicado: |
2007
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| In: |
Mathematical modelling and numerical analysis
Year: 2007, Volumen: 41, Número: 1, Pages: 1-20 |
| ISSN: | 2822-7840 |
| DOI: | 10.1051/m2an:2007005 |
| Acceso en línea: | Resolving-System, Abstract: http://dx.doi.org/10.1051/m2an:2007005
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| Notas de Autor: | Vincent Heuveline, Friedhelm Schieweck |
| Sumario: | We consider higher order mixed finite element methods for the incompressible Stokes or Navier-Stokes equations with <i>Q<i/><sub><i>r<i/><sub/>-elements for the velocity and discontinuous -elements for the pressure where the order <i>r<i/> can vary from element to element between <i>2<i/> and a fixed bound . We prove the inf-sup condition uniformly with respect to the meshwidth <i>h<i/> on general quadrilateral and hexahedral meshes with hanging nodes. |
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| ISSN: | 2822-7840 |
| DOI: | 10.1051/m2an:2007005 |