Numerical experiments to the dissertation "a unified error analysis for the numerical solution of nonlinear wave-type equations with application to kinetic boundary conditions"

Abstract: This code is used for the numerical experiments in the dissertation "A unified error analysis for the numerical solution of nonlinear wave-type equations with application to kinetic boundary conditions" by Jan Leibold (cf. Section 6.5) TechnicalRemarks: The computations are done in C++ using the Finite Element library deal.II; the plots from the dissertation then are generated with Matlab.

To use this code, deal.II (release 9.2.0) has to be installed, cf. https://www.dealii.org/9.2.0

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 then "make" to compile the files.

Before running the program, specify in the 'config.ini' for which figures the calculations should be performed. By default, the calculations for all plots are performed.

Finally, run the program with "make run". This performs the computations and generates files in the "output" folder containing the results of the numerical experiments.

After that, the plots can be generated with the Matlab Script 'plot_figures.m'. In this file it can also be selected which plots should be generated.

Cite this as

Leibold, Jan (2023). Dataset: Numerical experiments to the dissertation "a unified error analysis for the numerical solution of nonlinear wave-type equations with application to kinetic boundary conditions". https://doi.org/10.35097/1285

DOI retrieved: 2023

Additional Info

Field Value
Imported on August 4, 2023
Last update August 4, 2023
License CC BY-NC-SA 4.0 Attribution-NonCommercial-ShareAlike
Source https://doi.org/10.35097/1285
Author Leibold, Jan
Source Creation 2023
Publishers
Karlsruhe Institute of Technology
Production Year 2021
Publication Year 2023
Subject Areas
Name: Mathematics