Finite element methods: Principles for their selection

DOI10.1016/0045-7825(84)90151-8zbMath0513.73081OpenAlexW2067507756WikidataQ59038905 ScholiaQ59038905MaRDI QIDQ1050813

Douglas N. Arnold, Ivo M. Babuška, John E. Osborn

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90151-8

zbMATH Keywords

stabilityoptimalityexamplesapproximabilityprinciples for selection of finite element method

Mathematics Subject Classification ID

Newton-type methods (49M15) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)

Related Items

Quasi-Optimality Constants for Parabolic Galerkin Approximation in Space, The h-p version of the finite element method for parabolic equations. Part I. The p-version in time, The Babuška-Brezzi condition and the patch test: An example, Some observations on mixed methods for fully nonlinear parabolic problems in divergence form, An estimate of the Babuška-Brezzi inf-sup discrete stability constant for general linear Petrov-Galerkin finite element formulations (an estimate of the Babuška-Brezzi stability constant), \(p\)-version of mixed finite element methods for Stokes-like problems, On the \(L_ 2\) error for the \(p\)-version of the finite element method over polygonal domains, Some a priori error estimates with respect to \(H^{\theta}\) norms, \(0 <\theta < 1\), for the \(h\)-extension of the finite element method in two dimensions, The $L^2$-Projection and Quasi-Optimality of Galerkin Methods for Parabolic Equations

Cites Work

• Analysis of finite element methods for second order boundary value problems using mesh dependent norms
• Error-bounds for finite element method
• Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
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