2026-10-11T17:25:43Zhttps://www.radar-service.eu/oai/OAIHandler10.35097/14582026-10-09T10:48:54Zradar4kit
https://dx.doi.org/10.35097/1458
Scheifinger, Malik
Code to "Maximum norm error bounds for the full discretization of non-autonomous wave equations"
Karlsruhe Institute of Technology
2023
Mathematics
dataset
Dataset
info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
This code is used for the numerical experiment in Section 6 of the preprint "Maximum norm error bounds for the full discretization of non-autonomous wave equations" by Benjamin Dörich, Jan Leibold, and Bernhard Maier.
Part of the code relies on code written by J. Leibold in https://doi.org/10.5445/IR/1000130223.
The computations are done in C++ using the Finite Element library deal.II; the plots then are generated with Python3.
To use this code, deal.II (release 9.4.0) has to be installed, cf. https://www.dealii.org/9.4.0
In order to compile the program, open a terminal session in this folder
and call "cmake -DDEAL_II_DIR=/path/to/deal.II ." Next, call "make release" and "make".
Then, one can run the commands (can be done in paralell)
./main P1
./main P2
./main P3
./main euler
to execute the code. This performs the computations and generates the files
error_space_Q1_ritz.txt
error_space_Q2_ritz.txt
error_space_Q3_ritz.txt
error_time_ImplEuler_ritz.txt
in the folder "error" containing the results of the numerical experiments.
After that, the plots can be generated with the Python3 Script using in the terminal
python3 wave_non_auto_error_plots.py
in the folder "tikz".
10.5445/IR/1000157919
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