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 imple- mentation 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.
Arbitrarily high-order energy-conserving methods for Poisson problems / Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 91:(2022), pp. 861-894. [10.1007/s11075-022-01285-z]
Arbitrarily high-order energy-conserving methods for Poisson problems
Brugnano, Luigi
;
2022
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 imple- mentation 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.File | Dimensione | Formato | |
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