Discontinuous finite-element approximations for the analysis of shock waves in nonlinearly elastic materials

DOI10.1016/0021-9991(75)90087-XzbMath0328.73034MaRDI QIDQ1226898

J. Tinsley Oden, L. Carter jun. Wellford

Publication date: 1975

Published in: Journal of Computational Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Impact in solid mechanics (74M20)

Related Items (10)

Discontinuous finite elements and Godunov-type methods for the Eulerian equations of gas dynamics ⋮ Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport ⋮ Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport ⋮ Discontinuous Galerkin Methods for Ordinary Differential Equations ⋮ Continuous and discontinuous finite element methods for Burgers' equation ⋮ Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws ⋮ A theory of discontinuous finite element Galerkin approximations of shock waves in nonlinear elastic solids. I: Variational theory ⋮ Non-linear analysis of wave propagation using transform methods ⋮ Continuum modeling of supply chain networks using discontinuous Galerkin methods ⋮ Analysis of traffic flow by the finite element method

Cites Work

• Waves in materials with memory. I: The velocity of one-dimensional shock and acceleration waves
• Fluid Dynamics / Strömungsmechanik

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