A theory of discontinuous finite element Galerkin approximations of shock waves in nonlinear elastic solids. II: Accuracy and convergence

DOI10.1016/0045-7825(76)90050-5zbMath0341.73043OpenAlexW223824466MaRDI QIDQ1231803

L. Carter jun. Wellford, J. Tinsley Oden

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)90050-5

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

• Unnamed Item
• A priori estimates for the solutions of difference approximations to parabolic partial differential equations
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• Sur l'approximation de certaines équations d'évolution linéaires et non linéaires