A New Finite Element Method for Darcy-Stokes-Brinkman Equations | Zendy

P. Lamichhane | Zendy

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A New Finite Element Method for Darcy-Stokes-Brinkman Equations

Author(s) -

P. Lamichhane

Publication year - 2013

Publication title -

isrn computational mathematics

Language(s) - English

Resource type - Journals

ISSN - 2090-7842

DOI - 10.1155/2013/798059

Subject(s) - finite element method , stokes problem , polygon mesh , mathematics , convergence (economics) , mixed finite element method , mathematical analysis , extended finite element method , darcy's law , stokes flow , limiting , darcy–weisbach equation , porous medium , physics , geometry , porosity , flow (mathematics) , materials science , mechanical engineering , engineering , economics , composite material , thermodynamics , economic growth

We present a new finite element method for Darcy-Stokes-Brinkman equations using primal and dual meshes for the velocity and the pressure, respectively. Using an orthogonal basis for the discrete space for the pressure, we use an efficiently computable stabilization to obtain a uniform convergence of the finite element approximation for both limiting cases.

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