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Showing 2014 · math.APShow all
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math.AP2014★ 2 cited
Convergence of Variational Approximation Schemes for Elastodynamics with Polyconvex Energy
Alexey Miroshnikov, Athanasios E. Tzavaras
We consider a variational scheme developed by S. Demoulini, D. M. A. Stuart and A. E. Tzavaras [Arch. Ration. Mech. Anal. 157 (2001)] that approximates the equations of three dimen…
math.AP2014★ 7 cited
A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians
Alexey Miroshnikov, Athanasios E. Tzavaras
We consider the equations describing the dynamics of radial motions for isotropic elastic materials; these form a system of non-homogeneous conservation laws. We construct a variat…