On principles for the selection of shape functions for the generalized finite element method

DOI10.1016/S0045-7825(02)00467-XzbMath1016.65052OpenAlexW2156930743MaRDI QIDQ1870990

John E. Osborn, Ivo M. Babuška, Uday Banerjee

Publication date: 6 May 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00467-x

zbMATH Keywords

error estimatesnumerical examplestrigonometric polynomialsGalerkin methodsalgebraic polynomials\(n\)-widthsgeneralized finite element methodsconvrgenceselection of shape functionssup-inf

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

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