Arbitrarily high-order energy-conserving methods for Poisson problems
Numerical Analysis
2022-03-10 v2 Numerical Analysis
Abstract
In this paper we are concerned with energy-conserving methods for Poisson problems, which are effectively solved by defining a suitable generalization of HBVMs, a class of energy-conserving methods for Hamiltonian problems. The actual implementation of the methods is fully discussed, with a particular emphasis on the conservation of Casimirs. Some numerical tests are reported, in order to assess the theoretical findings.
Keywords
Cite
@article{arxiv.2110.14292,
title = {Arbitrarily high-order energy-conserving methods for Poisson problems},
author = {Pierluigi Amodio and Luigi Brugnano and Felice Iavernaro},
journal= {arXiv preprint arXiv:2110.14292},
year = {2022}
}
Comments
30 pages, 5 figures, 3 tables