2026-04-20T19:19:52Zhttps://www.radar-service.eu/oai/OAIHandler10.35097/13012023-11-15T14:45:25Zradar4kit
10.35097/1301
Dörich, Benjamin
Benjamin
Dörich
0000-0001-5840-2270
Institut für Angewandte und Numerische Mathematik
Numerical experiments to "Exponential integrators for quasilinear wave-type equations" (updated version)
Karlsruhe Institute of Technology
2022
2023
Mathematics
error analysis
time integration
quasilinear evolution equations
a-priori error bounds
wave equation
Maxwell's equations
Open Access
Creative Commons Attribution Non Commercial Share Alike 4.0 International
Dörich, Benjamin
0000-0001-5840-2270
Hochbruck, Marlis
Institut für Angewandte und Numerische Mathematik
This code was used for the numerical experiments in the revised 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.
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
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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
dolfin - 2018.1.0
fenics - 2018.1.0
matplotlib - 3.2.1
tikzplotlib - 0.9.6
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
dolfin - 2019.2.0.dev0
fenics - 2019.2.0.dev0
matplotlib - 3.3.2
tikzplotlib - 0.9.4
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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"
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After running the calculations, the errors can be found in
the folder "preprint_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.
10.5445/IR/1000143383
application/x-tar