Frame-indifferent discretization in nonlinear thermoviscoelasticity: Analysis and numerical simulations
Analysis of PDEs
2026-05-01 v1 Numerical Analysis
Numerical Analysis
Abstract
We consider a quasi-static nonlinear model in thermoviscoelasticity at a finite-strain setting in the Kelvin-Voigt rheology where both the elastic and viscous stress tensors comply with the principle of frame indifference under rotations. We refine the discretization schemes in [Badal-Friedrich-Kru\v{z}\'ik '23, Mielke-Roub\'{\i}\v{c}ek '20] by imposing frame indifference already at a time-discrete level. This is justified both analytically and numerically.
Keywords
Cite
@article{arxiv.2604.27923,
title = {Frame-indifferent discretization in nonlinear thermoviscoelasticity: Analysis and numerical simulations},
author = {Rufat Badal and Manuel Friedrich and Martin Horák and Martin Kružík and Lennart Machill},
journal= {arXiv preprint arXiv:2604.27923},
year = {2026}
}
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35 pages