A theory of discontinuous finite element Galerkin approximations of shock waves in nonlinear elastic solids. I: Variational theory

DOI10.1016/0045-7825(76)90049-9zbMath0341.73042OpenAlexW2050823481MaRDI QIDQ1231802

J. Tinsley Oden, L. Carter jun. Wellford

Publication date: 1976

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(76)90049-9

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Impact in solid mechanics (74M20)

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Cites Work

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• A theory of discontinuous finite element Galerkin approximations of shock waves in nonlinear elastic solids. I: Variational theory
• ON THE UNIFICATION OF THE CALCULUS OF VARIATIONS AND THE THEORY OF MONOTONE NONLINEAR OPERATORS IN BANACH SPACES
• EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations