Convergence analysis for an exponentially fitted Finite Volume Method

DOI10.1051/m2an:2000122zbMath0974.65098OpenAlexW2029904984MaRDI QIDQ2707090

Reiner Vanselow

Publication date: 29 November 2001

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197584

zbMATH Keywords

convergencefinite volume methodconvection-diffusion problemexponential fittingPetrov-Galerkin finite element methodVoronoi box

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 element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Convergence analysis for the full-upwind finite volume solution of a convection-diffusion problem

Cites Work

• Some upwinding techniques for finite element approximations of convection-diffusion equations
• Finite difference methods on irregular networks. A generalized approach to second order elliptic problems. (Licensed ed.)
• Finite element methods for convection-diffusion problems using exponential splines on triangles
• The finite volume Scharfetter-Gummel method for steady convection diffusion equations
• Convergence of finite volume schemes for semilinear convection diffusion equations
• A monotone finite element scheme for convection-diffusion equations
• A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem
• An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh
• Analysis of a cell-vertex finite volume method for convection-diffusion problems
• Convergence analysis of a finite volume method via a new nonconforming finite element method
• Error estimates for the finite-element solution of an elliptic singularly perturbed problem
• Finite Volume Methods for Convection-Diffusion Problems
• Connection between finite volume and mixed finite element methods
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