✦ LIBER ✦

A unified mesh refinement method with applications to porous media flow

✍ Scribed by Erik J. Holm; Hans Petter Langtangen

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 363 KB
Volume: 28
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19980930)28:4<679::aid-fld740>3.0.co;2-q

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✦ Synopsis

A unified algorithm is presented for the refinement of finite element meshes consisting of tensor product Lagrange elements in any number of space dimensions. The method leads to repeatedly refined n-irregular grids with associated constraint equations. Through an object-oriented implementation existing solvers can be extended to handle mesh refinements without modifying the implementation of the finite element equations. Various versions of the refinement procedure are investigated in a porous media flow problem involving singularities around wells. A domain decomposition-type finite element method is also proposed based on the refinement technique. This method is applied to flow in heterogeneous porous media.

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