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.

翻译：在本文中,我们关注Poisson问题的节能方法,这些方法通过对HBVM(一种处理汉密尔顿问题的节能方法)进行适当的概括性界定而得到有效解决,这是处理汉密尔顿问题的节能方法的一类。我们充分讨论了这些方法的实际实施情况,特别强调保护卡西米斯。报告了一些数字测试,以便评估理论结论。