Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics
Numerical Analysis
2023-03-01 v2
Abstract
We give an a priori analysis of a semi-discrete discontinuous Galerkin scheme approximating solutions to a model of multiphase elastodynamics which involves an energy density depending not only on the strain but also the strain gradient. A key component in the analysis is the reduced relative entropy stability framework developed in [Gie14]. We prove optimal bounds for the strain in an appropriate norm and suboptimal bounds for the velocity.
Cite
@article{arxiv.1405.4750,
title = {Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics},
author = {Jan Giesselmann and Tristan Pryer},
journal= {arXiv preprint arXiv:1405.4750},
year = {2023}
}
Comments
21 pages, 2 tables