A new formulation of the mixed finite element method for solving elliptic and parabolic PDE with triangular elements

DOI10.1006/jcph.1998.6150zbMath0923.65064OpenAlexW2094849454MaRDI QIDQ1282387

Robert Mose, Philippe Ackerer, Anis Younes, Guy Chavent

Publication date: 17 October 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6150

zbMATH Keywords

finite volume methodmixed finite element methodelliptic-parabolic problemDarcy flow modelgroundwater flow problemRaviart Thomas triangular elements

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• A new formulation of the mixed finite element method for solving elliptic and parabolic PDE with triangular elements
• On Convergence of Block-Centered Finite Differences for Elliptic Problems
• Mixed and Hybrid Finite Element Methods
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