Anisotropic Wilson element with conforming finite element approximation for a coupled continuum pipe-flow/Darcy model in Karst aquifers

DOI10.1002/MMA.3341zbMath1381.76188OpenAlexW2097865753MaRDI QIDQ2795408

Wei Liu, Xindong Li, Qing-li Zhao, Jin Li

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3341

zbMATH Keywords

anisotropic meshnumerical analysisWilson elementKarst aquiferscoupled continuum pipe-flow/Darcy model

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) 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 (5)

An a posteriori error analysis for a coupled continuum pipe-flow/Darcy model in karst aquifers: anisotropic and isotropic discretizations ⋮ A block-centered finite difference method for an unsteady asymptotic coupled model in fractured media aquifer system ⋮ A new numerical method for an asymptotic coupled model of fractured media aquifer system ⋮ A new nonconforming finite element with a conforming finite element approximation for a coupled continuum pipe-flow/Darcy model in Karst aquifers ⋮ ANISOTROPIC QUASI-WILSON ELEMENT WITH CONFORMING FINITE ELEMENT APPROXIMATION FOR COUPLED CONTINUUM PIPE-FLOW/DARCY MODEL IN KARST AQUIFERS

Cites Work

• Unnamed Item
• Anisotropic interpolations with application to nonconforming elements
• Superconvergence analysis of Wilson element on anisotropic meshes
• On the coupled continuum pipe flow model (CCPF) for flows in karst aquifer
• Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes
• Anisotropic interpolation with applications to the finite element method
• Superconvergence analysis and error expansion for the Wilson nonconforming finite element
• The interpolation theorem for narrow quadrilateral isoparametric finite elements
• Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits
• Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes

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