APPROXIMATE AND LOW REGULARITY DIRICHLET BOUNDARY CONDITIONS IN THE GENERALIZED FINITE ELEMENT METHOD

DOI10.1142/S0218202507002571zbMath1145.65093OpenAlexW2054134008MaRDI QIDQ3502922

Victor Nistor, Nicolae Tarfulea, Ivo M. Babuška

Publication date: 20 May 2008

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202507002571

zbMATH Keywords

Dirichlet boundary conditionsLaplace equationgeneralized finite element method

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 (4)

A uniform discrete inf-sup inequality for finite element hydro-elastic models ⋮ Approximate solutions to second-order parabolic equations: evolution systems and discretization ⋮ A note on the singular linear system of the generalized finite element methods ⋮ An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

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