Modified flux-vector-based Green element method for problems in steady-state anisotropic media

DOI10.1016/j.enganabound.2008.06.004zbMath1244.74169OpenAlexW1991335451MaRDI QIDQ443425

L. Elliott, P. Lorinczi, Simon D. Harris

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.06.004

zbMATH Keywords

anisotropyGreen element methodheterogeneous porous mediumflux-vector-based GEMnodal flux conditionpermeability tensor

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (12)

Modeling of fluid flow through fractured porous media by a single boundary integral equation ⋮ A novel Green element method based on two sets of nodes ⋮ Modified flux-vector-based Green element method for problems in steady-state anisotropic media-generalisation to triangular elements ⋮ Enhancement of the accuracy of the Green element method: application to potential problems ⋮ A mimetic Green element method ⋮ A new scheme based on boundary elements method to solve linear Helmholtz and semi-linear Poisson's equations ⋮ Numerical simulation of two-phase flow in porous media based on mimetic Green element method ⋮ Modeling anisotropic diffusion using a departure from isotropy approach ⋮ 2D internal flux compatibility equation of the flux Green element method for transient nonlinear potential problems ⋮ A novel Green element method by mixing the idea of the finite difference method ⋮ Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation ⋮ Some analytical solutions for fluid flow in and around a single fracture in a porous formation based on singular integral equation

Cites Work

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• Modelling of highly-heterogeneous media using a flux-vector-based Green element method
• Three Green element models for the diffusion-advection equation and their stability characteristics
• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• A comparison of boundary element method formulations for steady state anisotropic heat conduction problems
• New formulation of the Green element method to maintain its second-order accuracy in 2D/3D

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