Supplementary material for "A Partitioned Finite Element Method for power-preserving discretization of open systems of conservation laws"

This archive contains supplementary material for the paper "A Partitioned Finite Element Method for power-preserving discretization of open systems of conservation laws", containing the source codes for the numerial results presented in the paper. An arXiv pre-print version of the paper is available here. The following codes are provided: <code>codes/simulation1D_small.jl</code>: small amplitudes (linear) 1D simulation <code>codes/simulation1D_large.jl</code>: large amplitudes (nonlinear) 1D simulation <code>codes/simulation1D_analytical_gradient</code>: large amplitudes 1D simulation, but using an analytical nonlinear Hamiltonian gradient expression <code>codes/simulation2D.jl</code>: large amplitudes (nonlinear) 2D simulation <code>codes/convergence1D.jl</code>: convergence analysis of the 1D linear case <code>codes/convergence2D.m</code>: convergence analysis of the 2D linear case A GitHub with the codes and a few instructions on usage is available here. <strong>Acknowledgements</strong> This work has been performed in the frame of the Collaborative Research DFG and ANR project INFIDHEM, entitled "Interconnected of Infinite-Dimensional systems for Heterogeneous Media", nº ANR-16-CE92-0028. Further information is available here.本归档文件包含论文《分区有限元法用于开放守恒律系统的保功率离散化》（A Partitioned Finite Element Method for power-preserving discretization of open systems of conservation laws）的补充材料，内含用于复现论文中数值结果的源代码。该论文的arXiv预印本可在此处获取。本次提供的代码如下：<code>codes/simulation1D_small.jl</code>：小振幅（线性）一维仿真程序；<code>codes/simulation1D_large.jl</code>：大振幅（非线性）一维仿真程序；<code>codes/simulation1D_analytical_gradient</code>：采用解析非线性哈密顿梯度表达式的大振幅一维仿真程序；<code>codes/simulation2D.jl</code>：大振幅（非线性）二维仿真程序；<code>codes/convergence1D.jl</code>：一维线性情形的收敛性分析程序；<code>codes/convergence2D.m</code>：二维线性情形的收敛性分析程序。包含该代码库及少量使用说明的GitHub仓库可在此处获取。<strong>致谢</strong>：本研究工作依托德国研究协会（Deutsche Forschungsgemeinschaft, DFG）与法国国家科研署（Agence Nationale de la Recherche, ANR）联合资助的合作研究项目INFIDHEM开展，项目全称"Interconnected of Infinite-Dimensional systems for Heterogeneous Media"，项目编号为ANR-16-CE92-0028。更多相关信息可在此处获取。