Mixed Finite Element Method on Polygonal and Polyhedral Meshes

Yuri Kuznetsov () and Sergey Repin ()
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Yuri Kuznetsov: University of Houston, Department of Mathematics
Sergey Repin: St. Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 615-622 from Springer

Abstract: Summary A new mixed finite element method for the diffusion equations on general polygonal and polyhedral meshes is presented. The basis vector functions in macrocells are designed by solving the local mixed finite element problems with the lowest order Raviart-Thomas elements. Numerical results for the Poisson equation on distorted prismatic meshes are given.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_59

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DOI: 10.1007/978-3-642-18775-9_59

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