The consistence error of extended variational principles in the finite element method

DOI10.1016/0898-1221(78)90012-3zbMath0419.65071OpenAlexW4246720916MaRDI QIDQ5904184

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Publication date: 1978

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(78)90012-3

zbMATH Keywords

finite element methodvariational principlenumerical realizationextended variational principlesclamped supported beamconsistence errorquadratic Lagrange finite elements

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Variational principles for elastic plates with relaxed continuity requirements
• On the finite element method
• Error-bounds for finite element method
• The finite element method with Lagrangian multipliers
• Erweiterung des Prinzips der virtuellen Verschiebungen und des Prinzips der virtuellen Kräfte
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