An analysis of an implicit finite element algorithm for geometrically nonlinear problems of structural dynamics. II: Accuracy

DOI10.1016/0045-7825(78)90075-0zbMath0383.73069OpenAlexW4235392455MaRDI QIDQ1248400

S. M. Hamdan, L. Carter jun. Wellford

Publication date: 1978

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(78)90075-0

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65)

Related Items (1)

Numerical solution of static and dynamic nonlinear multi-degree-of- freedom systems

Cites Work

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• A priori estimates for the solutions of difference approximations to parabolic partial differential equations
• A theory of discontinuous finite element Galerkin approximations of shock waves in nonlinear elastic solids. II: Accuracy and convergence
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• Galerkin Methods for Vibration Problems in Two Space Variables

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