Discontinuous Galerkin immersed finite volume element method for anisotropic flow models in porous medium

DOI10.1155/2014/520404zbMath1474.76040OpenAlexW2087695635WikidataQ59039096 ScholiaQ59039096MaRDI QIDQ1724314

Zhong-yan Liu, Huan-Zhen Chen

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/520404

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

Error bounds for discontinuous finite volume discretisations of Brinkman optimal control problems

Uses Software

• IIMPACK

Cites Work

• A finite element method for interface problems in domains with smooth boundaries and interfaces
• On the finite volume element method
• The immersed interface method using a finite element formulation
• The immersed finite volume element methods for the elliptic interface problems
• Finite element methods and their convergence for elliptic and parabolic interface problems
• New Cartesian grid methods for interface problems using the finite element formulation
• Finite volume element approximations of nonlocal in time one-dimensional flows in porous media
• The finite element method for elliptic equations with discontinuous coefficients
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
• Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A New Discontinuous Finite Volume Method for Elliptic Problems
• An immersed finite element space and its approximation capability
• The Immersed Interface Method
• Analysis and convergence of a covolume method for the generalized Stokes problem

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