COMPARISON OF FINITE VOLUME AND FINITE DIFFERENCE METHODS AND APPLICATION

DOI10.1142/S0219530506000723zbMath1097.65103OpenAlexW1999000186MaRDI QIDQ5291291

Du Pham, Sylvain Faure, Roger M. Temam

Publication date: 10 May 2006

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530506000723

zbMATH Keywords

convergenceDirichlet problemcomparison of methodsnumerical examplesfinite volume methodsparabolic equationfinite difference methodselliptic equationstructured grids

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (8)

Stable and convergent approximation of two-dimensional vector fields on unstructured meshes ⋮ Unnamed Item ⋮ Finite volume approximation of one-dimensional stiff convection-diffusion equations ⋮ Finite volume approximation of stiff problems on two-dimensional curvilinear domain ⋮ Linear lattice Boltzmann flux solver with compact third-order finite volume method for acoustic propagation simulations on three-dimensional hybrid unstructured grids ⋮ Unnamed Item ⋮ Validation of a 2D cell-centered finite volume method for elliptic equations ⋮ Enriched finite volume approximations of the plane-parallel flow at a small viscosity

Cites Work

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• Approximation variationnelle des problèmes aux limites
• Numerical study of the turbulent flow past an airfoil with trailing edge separation
• Error estimates for the convergence of a finite volume discretization of convection–diffusion equations
• Finite Volume Methods for Elliptic PDE's: A New Approach
• A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
• Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains

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