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:

• codes/simulation1D_small.jl: small amplitudes (linear) 1D simulation

• codes/simulation1D_large.jl: large amplitudes (nonlinear) 1D simulation

• codes/simulation1D_analytical_gradient: large amplitudes 1D simulation, but using an analytical nonlinear Hamiltonian gradient expression

• codes/simulation2D.jl: large amplitudes (nonlinear) 2D simulation

• codes/convergence1D.jl: convergence analysis of the 1D linear case

• codes/convergence2D.m: convergence analysis of the 2D linear case

A GitHub with the codes and a few instructions on usage is available here.

Acknowledgements

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.