Abstract: This code was used for the numerical experiments in the preprint (CRC Preprint 2021/12; URL: https://www.waves.kit.edu/downloads/CRC1173_Preprint_2021-12.pdf) and in the paper "Exponential integrators for quasilinear wave-type equations" by B. Dörich and M. Hochbruck.
TechnicalRemarks: This program is intended to reproduce the results from the preprint
"Exponential integrators for quasilinear wave-type equations"
by Benjamin Dörich and Marlis Hochbruck
The codes generates the lines in Figure 1
Requirements
The program is tested with
1) Ubuntu 16.04.7 LTS and Python 3.7.6 and the following version of its modules:
- numpy - 1.15.4
- scipy - 1.4.1
- matplotlib - 3.2.1
- tikzplotlib - 0.9.6
- dolfin - 2018.1.0
- fenics - 2018.1.0
2) Ubuntu 18.04.5 LTS and Python 3.6.9 and the following version of its modules:
- numpy - 1.19.2
- scipy - 1.5.1
- matplotlib - 3.3.2
- tikzplotlib - 0.9.4
- dolfin - 2019.2.0.dev0
- fenics - 2019.2.0.dev0
Figure 1
In the folder "DoeH21_quasilinear" open a console and run the following commands after each other.
1) Run "python3 1_generate_initial_matrices.py"
2) Run "python3 2_paper_run_reference_solution.py"
3) Run "python3 3_paper_run_Euler.py"
4) Run "python3 4_paper_run_midpoint.py"
After running the calculations, the errors can be found in
the folder "DoeH21_quasilinear/extracted_data/".
(a) settings_ contains the information of the config file
(b) infos_ contains the computed errors
(c) plot_* contains a tikz-file which gives the plot for the
Euler and the midpoint rule separately.
