Error estimates of finite element approximations for problems in linear elasticity. III: Problems in elastodynamics; discrete time approximations

DOI10.1007/BF00258235zbMath0447.73063OpenAlexW4237480272MaRDI QIDQ1146564

S. H. Smith

Publication date: 1980

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00258235

zbMATH Keywords

elastodynamicsdiscrete time approximationsNewmark's beta-method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Elastic materials (74B99)

Cites Work

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• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Convergence of the Finite Element Method in the Theory of Elasticity
• Galerkin Methods for Parabolic Equations
• Galerkin Methods for Vibration Problems in Two Space Variables
• A difference scheme for the solution of the second boundary static problem of the theory of elasticity
• On the Theory of Dynamic Programming
• Ritz approximations to two-dimensional boundary value problems

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