Error estimates in finite element approximations for problems in linear elasticity. II: Problems in elastodynamics; continuous time approximations

DOI10.1007/BF00249362zbMath0447.73062MaRDI QIDQ1146563

S. H. Smith

Publication date: 1979

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

zbMATH Keywords

elastodynamicssemidiscrete approximationscontinuous time approximations

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) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Cites Work

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• Linear elliptic differential systems and eigenvalue problems
• The convergence of finite element method in solving linear elastic problems
• Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
• Approximation in the finite element method
• 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
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• A difference scheme for the solution of the second boundary static problem of the theory of elasticity
• Ritz approximations to two-dimensional boundary value problems

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