论文标题
港口 - 哈米尔顿港模型的结构保存离散化
Structure-preserving discretization of port-Hamiltonian plate models
论文作者
论文摘要
离散港口港口系统的方法既是用于模拟和控制目的的感兴趣。尽管有关于混合有限元素的大量文献，但仍未对混合元素与港口哈米尔顿港系统之间的连接进行严格的分析。在本文中，我们演示了如何采用现有方法以具有结构性的方式离散动态板问题。基于现有方案的收敛结果，提出了新的错误估计。数值模拟证实了预期的行为。
Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analysis of the connections between mixed elements and port-Hamiltonian systems has been carried out. In this paper we demonstrate how existing methods can be employed to discretize dynamical plate problems in a structure-preserving way. Based on convergence results of existing schemes, new error estimates are conjectured; numerical simulations confirm the expected behaviors.
