A discontinuous finite volume method for the Darcy-Stokes equations

DOI10.1155/2012/761242zbMath1264.76070OpenAlexW1984974861WikidataQ58907309 ScholiaQ58907309MaRDI QIDQ1952934

Ziwen Jiang, Zhe Yin, Qiang Xu

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/761242

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for boundary value problems involving PDEs (65N08)

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Cites Work

• Simple nonconforming quadrilateral Stokes element
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A New Discontinuous Finite Volume Method for Elliptic Problems
• Discontinuous finite volume element method for parabolic problems
• A stabilized mixed finite element method for Darcy–Stokes flow
• A Discontinuous Finite Volume Method for the Stokes Problems
• Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem