Convergence analysis of a finite volume method via a new nonconforming finite element method

DOI<213::AID-NUM5>3.0.CO;2-R 10.1002/(SICI)1098-2426(199803)14:2<213::AID-NUM5>3.0.CO;2-RzbMath0903.65084OpenAlexW2068546646MaRDI QIDQ4381926

H.-P. Scheffler, Reiner Vanselow

Publication date: 5 January 1999

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199803)14:2<213::aid-num5>3.0.co;2-r

zbMATH Keywords

convergencefinite volume methodPoisson's equationnonconforming finite element methoddual box partitionVoronoi box partitions

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes, Convergence analysis for an exponentially fitted Finite Volume Method, Nonconforming cell boundary element methods for elliptic problems on triangular mesh, A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids, Finite volume method based on the Crouzeix-Raviart element for the Stokes equation, Finite volume approximation of elliptic problems and convergence of an approximate gradient, Analysis of a cell boundary element method, Convergence analysis for the full-upwind finite volume solution of a convection-diffusion problem, The finite volume method and application in combinations

Cites Work

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• An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh
• Piecewise Linear Petrov–Galerkin Error Estimates for the Box Method
• Error estimates for the finite-element solution of an elliptic singularly perturbed problem