Article
Mortar finite element discretization of a model coupling Darcy and Stokes equations
Author/s | Bernardi, Christine
Chacón Rebollo, Tomás Hecht, Frédéric Mghazli, Zoubida |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2008 |
Deposit Date | 2016-05-17 |
Published in |
|
Abstract | As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and Stokes equations are coupled via appropriate matching conditions on the interface. We propose a ... As a first draft of a model for a river flowing on a homogeneous porous ground, we consider a system where the Darcy and Stokes equations are coupled via appropriate matching conditions on the interface. We propose a discretization of this problem which combines the mortar method with standard finite elements, in order to handle separately the flow inside and outside the porous medium. We prove a priori and a posteriori error estimates for the resulting discrete problem. Some numerical experiments confirm the interest of the discretization. |
Funding agencies | European Union (UE) Ministerio de Educación y Ciencia (MEC). España |
Citation | Bernardi, C., Chacón Rebollo, T., Hecht, F. y Mghazli, Z. (2008). Mortar finite element discretization of a model coupling Darcy and Stokes equations. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Mortar finite element discreti ... | 1.085Mb | [PDF] | View/ | |