A multiscale mortar mixed finite element method for slightly compressible flows in porous media

Mi Young Kim, Eun Jae Park, Sunil G. Thomas, Mary F. Wheeler

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22 Citations (Scopus)

Abstract

We consider multiscale mortar mixed finite element discretizations for slightly compressible Darcy flows in porous media. This paper is an extension of the formulation introduced by Arbogast et al. for the incompressible problem [2]. In this method, flux continuity is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale. Optimal fine scale convergence is obtained by an appropriate choice of mortar grid and polynomial degree of approximation. Parallel numerical simulations on some multiscale benchmark problems are given to show the efficiency and effectiveness of the method.

Original languageEnglish
Pages (from-to)1103-1119
Number of pages17
JournalJournal of the Korean Mathematical Society
Volume44
Issue number5
DOIs
Publication statusPublished - 2007 Sep

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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