Analysis of two-scale finite volume element method for elliptic problem

DOI10.1515/156939504323074513zbMath1067.65124OpenAlexW2042802938MaRDI QIDQ4820478

Victor Ginting

Publication date: 15 October 2004

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

Full work available at URL: https://doi.org/10.1515/156939504323074513

zbMATH Keywords

finite volume methodnumerical examplesflow in porous mediahomogenization theorymultiscale methodsecond order elliptic boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (10)

Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media ⋮ Mixed Multiscale Methods for Heterogeneous Elliptic Problems ⋮ Adaptive iterative multiscale finite volume method ⋮ Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media ⋮ On multiscale methods in Petrov-Galerkin formulation ⋮ A hierarchical fracture model for the iterative multiscale finite volume method ⋮ Iterative multiscale finite-volume method ⋮ Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids ⋮ Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification ⋮ Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions

Uses Software

• GSLIB

Cites Work

• Unnamed Item
• Unnamed Item
• The heterogeneous multiscale methods
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
• Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
• Finite Volume Methods for Elliptic PDE's: A New Approach
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
• Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
• Convergence of a Nonconforming Multiscale Finite Element Method

This page was built for publication: Analysis of two-scale finite volume element method for elliptic problem