Alternate identifier:
(KITopen-DOI) 10.5445/IR/1000143383
Related identifier:
-
Creator/Author:
Dörich, Benjamin https://orcid.org/0000-0001-5840-2270 [Institut für Angewandte und Numerische Mathematik]
Contributors:
(Other)
Hochbruck, Marlis [Institut für Angewandte und Numerische Mathematik]
Title:
Numerical experiments to "Exponential integrators for quasilinear wave-type equations" (updated version)
Additional titles:
-
Description:
(Abstract) 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.
(Technical Remarks) 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 ##################################################################################### 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 ##################################################################################### 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 "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.
Keywords:
error analysis
time integration
quasilinear evolution equations
a-priori error bounds
wave equation
Maxwell's equations
Related information:
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Subject areas:
Mathematics
Resource type:
Dataset
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