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

박은재|김미영|Sunil G. Thomas|Mary F. Wheeler
대한수학회 (The Korean Mathematical Society)|2007.09|대한수학회지 (Journal of the KMS)|제44권 제5호|pp. 1103-1119

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Abstract

We consider multiscale mortar mixed nite element discreti-zations for slightly compressible Darcy ows in porous media. This paperis an extension of the formulation introduced by Arbogast et al. for theincompressible problem [2]. In this method, ux continuity is imposed viaa mortar nite element space on a coarse grid scale, while the equations inthe coarse elements (or subdomains) are discretized on a ne grid scale.Optimal ne scale convergence is obtained by an appropriate choice ofmortar grid and polynomial degree of approximation. Parallel numericalsimulations on some multiscale benchmark problems are given to showthe eciency and eectiveness of the method.

참고문헌 (31)

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