New error estimates of Adini's elements for Poisson's equation

DOI10.1016/j.apnum.2003.10.009zbMath1069.65119OpenAlexW2089956913MaRDI QIDQ596554

Hung-Tsai Huang, Zi Cai Li, Ning-Ning Yan

Publication date: 10 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.10.009

zbMATH Keywords

error estimatesPoisson's equationNeumann problemsAdini's elementsglobal superconvergence

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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 (6)

Neumann problems of 2D Laplace's equation by method of fundamental solutions ⋮ Stability analysis and superconvergence for the penalty Trefftz method coupled with FEM for singularity problems ⋮ SUPERCONVERGENCE OF FEMS AND NUMERICAL CONTINUATION FOR PARAMETER-DEPENDENT PROBLEMS WITH FOLDS ⋮ Superconvergence of high-order FEMs for eigenvalue problems with periodic boundary conditions ⋮ Two-grid discretization schemes for nonlinear Schrödinger equations ⋮ Superconvergence of bi-\(k\)-Lagrange elements for eigenvalue problems

Cites Work

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• Local and parallel finite element algorithms based on two-grid discretizations
• A Finite Difference Analog of the Neumann Problem for Poisson’s Equation
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• Superconvergence of the gradient of Galerkin approximations for elliptic problems
• The generalized finite element method

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