Relations between FEM and FVM applied to the Poisson equation

DOI10.1007/BF02276874zbMath0858.65109OpenAlexW1532359578MaRDI QIDQ1924479

Reiner Vanselow

Publication date: 25 March 1997

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02276874

zbMATH Keywords

finite element methodfinite volume methodelliptic boundary value problemsDelaunay triangulationVoronoi boxes

Mathematics Subject Classification ID

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)

Related Items (15)

Unnamed Item ⋮ Solving elliptic problems with discontinuities on irregular domains -- the Voronoi interface method ⋮ Convergence analysis of a finite volume method via a new nonconforming finite element method ⋮ Linear Galerkin vs mixed finite element 2D flow fields ⋮ Error estimates for a finite volume scheme for advection–diffusion equations with rough coefficients ⋮ Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. ⋮ Some recent advances on vertex centered finite volume element methods for elliptic equations ⋮ 𝐻¹-Superconvergence of a difference finite element method based on the 𝑃₁-𝑃₁-conforming element on non-uniform meshes for the 3D Poisson equation ⋮ A trapping principle and convergence result for finite element approximate solutions of steady reaction/diffusion systems ⋮ Finite volume approximation of elliptic problems and convergence of an approximate gradient ⋮ Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws ⋮ About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation. ⋮ Generalized HPC method for the Poisson equation ⋮ Enhanced solution of 2D incompressible Navier-Stokes equations based on an immersed-boundary generalized harmonic polynomial cell method ⋮ The finite volume method and application in combinations

Cites Work

• Unnamed Item
• On the finite volume element method
• Finite difference methods on irregular networks. A generalized approach to second order elliptic problems. (Licensed ed.)
• On first and second order box schemes
• Some Error Estimates for the Box Method

This page was built for publication: Relations between FEM and FVM applied to the Poisson equation