Convergent Numerical Schemes for the Compressible Hyperelastic Rod Wave Equation
Numerical Analysis
2011-09-12 v1
Abstract
We propose a fully discretised numerical scheme for the hyperelastic rod wave equation on the line. The convergence of the method is established. Moreover, the scheme can handle the blow-up of the derivative which naturally occurs for this equation. By using a time splitting integrator which preserves the invariants of the problem, we can also show that the scheme preserves the positivity of the energy density.
Keywords
Cite
@article{arxiv.1109.2005,
title = {Convergent Numerical Schemes for the Compressible Hyperelastic Rod Wave Equation},
author = {David Cohen and Xavier Raynaud},
journal= {arXiv preprint arXiv:1109.2005},
year = {2011}
}