Energy preserving moving mesh methods applied to the BBM equation
Numerical Analysis
2017-10-04 v1
Abstract
Energy preserving numerical methods for a certain class of PDEs are derived, applying the partition of unity method. The methods are extended to also be applicable in combination with moving mesh methods by the rezoning approach. These energy preserving moving mesh methods are then applied to the Benjamin--Bona--Mahony equation, resulting in schemes that exactly preserve an approximation to one of the Hamiltonians of the system. Numerical experiments that demonstrate the advantages of the methods are presented.
Cite
@article{arxiv.1710.01223,
title = {Energy preserving moving mesh methods applied to the BBM equation},
author = {Sølve Eidnes and Torbjørn Ringholm},
journal= {arXiv preprint arXiv:1710.01223},
year = {2017}
}
Comments
13 pages; 7 figures, 13 subfigures