Error estimates of finite element approximations for problems in linear elasticity. I: Problems in elastostatics

DOI10.1007/BF00250736zbMath0418.73068MaRDI QIDQ1131884

S. H. Smith

Publication date: 1979

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

zbMATH Keywords

linear elasticityerror estimatesmixed problempartial differential equationsregular solutionelastostaticsfinite element approximationsstored energy functionpiecewise polynomialsinhomogeneous anisotropic linearly elastic material bodytotal energy function

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

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Cites Work

• Unnamed Item
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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
• 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