We present a class of high-order finite element methods that can conserve the linear and angular momenta as well energy for equations elastodynamics. These are devised by exploiting preserving Hamiltonian structure show several mixed element, discontinuous Galerkin, hybridizable Galerkin (HDG) belong to this class. discretize semidiscrete system in time using symplectic integrator order ensure ...

We present a structure-preserving scheme based on recently-proposed mixed formulation for incompressible hyperelasticity formulated in principal stretches. Although there exist Hamiltonians introduced quasi-incompressible elastodynamics different variational formulations, the one fully regime has yet been identified literature. The adopted naturally provides new Hamiltonian elastodynamics. Invo...

Abstract Linear elasticity has long been considered a well-established research area using conservative field theory. However, the discovery of odd-elasticity challenges essential energy conservation assumption, which together with gyroscopic ingredients compromise fundamental theory elasticity, but to same effect, enable new directions in active elastodynamics. Here, we consider two-dimensiona...

We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in time-harmonic regime. prove local stability estimate $log\,log$ type ident...