Projection scheme for a perfect plasticity model with a time-dependent constraint set
Analysis of PDEs
2024-07-03 v2 Numerical Analysis
Numerical Analysis
Abstract
This paper introduces a new numerical scheme for a system that includes evolution equations describing a perfect plasticity model with a time-dependent yield surface. We demonstrate that the solution to the proposed scheme is stable under suitable norms. Moreover, the stability leads to the existence of an exact solution, and we also prove that the solution to the proposed scheme converges strongly to the exact solution under suitable norms.
Keywords
Cite
@article{arxiv.2406.02218,
title = {Projection scheme for a perfect plasticity model with a time-dependent constraint set},
author = {Yoshiho Akagawa and Kazunori Matsui},
journal= {arXiv preprint arXiv:2406.02218},
year = {2024}
}
Comments
26 pages, 1 figure