Finite differences on triangular grids

DOI<567::AID-NUM2>3.0.CO;2-G 10.1002/(SICI)1098-2426(199809)14:5<567::AID-NUM2>3.0.CO;2-GzbMath0926.65104OpenAlexW2145118674MaRDI QIDQ4241695

Bernard Brighi, Erich Gut, Michel Chipot

Publication date: 22 November 1999

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199809)14:5<567::aid-num2>3.0.co;2-g

zbMATH Keywords

convergenceDirichlet problemnumerical examplesfinite elementtriangular gridPoisson equationfinite difference

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) Finite difference methods for boundary value problems involving PDEs (65N06)

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Local boundary element based a new finite difference representation for Poisson equations ⋮ 2D and 3D finite element meshing and remeshing ⋮ Finite Volume Methods for Elliptic PDE's: A New Approach

Cites Work

• Discrete maximum principle for finite-difference operators
• Maximum principle and uniform convergence for the finite element method