H¹-Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation

DOI10.4208/EAJAM.180313.300513AzbMath1291.65342OpenAlexW4247549298MaRDI QIDQ5406941

Xinlong Feng, Yin-Nian He

Publication date: 4 April 2014

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.180313.300513a

zbMATH Keywords

H-stabilityfinite element and finite difference methodsboundary value problem for Poisson equation

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

Related Items (6)

\(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation ⋮ A stabilized difference finite element method for the 3D steady Stokes equations ⋮ \(P _{1}\)-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations ⋮ A Numerical Comparison of Finite Difference and Finite Element Methods for a Stochastic Differential Equation with Polynomial Chaos ⋮ A theoretical analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the one dimensional wave equation ⋮ 𝐻¹-Superconvergence of a difference finite element method based on the 𝑃₁-𝑃₁-conforming element on non-uniform meshes for the 3D Poisson equation

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