Higher order finite difference schemes for the magnetic induction equations
Analysis of PDEs
2012-09-11 v1
Abstract
We describe high order accurate and stable finite difference schemes for the initial-boundary value problem associated with the magnetic induction equations. These equations model the evolution of a magnetic field due to a given velocity field. The finite difference schemes are based on Summation by Parts (SBP) operators for spatial derivatives and a Simultaneous Approximation Term (SAT) technique for imposing boundary conditions. We present various numerical experiments that demonstrate both the stability as well as high order of accuracy of the schemes.
Cite
@article{arxiv.1102.0473,
title = {Higher order finite difference schemes for the magnetic induction equations},
author = {Ujjwal Koley and Siddhartha Mishra and Nils Henrik Risebro and Magnus Svärd},
journal= {arXiv preprint arXiv:1102.0473},
year = {2012}
}
Comments
20 pages