A staggered finite difference scheme, based on half-step shifts and an interpolated relaxation term, yields stable second-order accurate simulations of Poynting-Thomson-Zener waves and is much faster than COMSOL for the elastic case.
Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: Part I: Monolithic integrators and their application to finite strain thermoelasticity
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Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solids
A staggered finite difference scheme, based on half-step shifts and an interpolated relaxation term, yields stable second-order accurate simulations of Poynting-Thomson-Zener waves and is much faster than COMSOL for the elastic case.