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arXiv · 2110.14292

Arbitrarily high-order energy-conserving methods for Poisson problems

Pierluigi Amodio·Luigi Brugnano·Felice Iavernaro
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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.

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Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro. 2022-03-09. Arbitrarily high-order energy-conserving methods for Poisson problems. https://doi.org/10.1007/s11075-022-01285-z

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