2026-04-19T12:59:55Zhttps://www.radar-service.eu/oai/OAIHandler10.35097/15352023-11-15T14:45:23Zradar4kit
10.35097/1535
Leibold, Jan
Jan
Leibold
Numerical experiments to "A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions"
Karlsruhe Institute of Technology
2021
2023
Mathematics
error analysis
wave equation
nonlinear evolution equations
maximal monotone operators
acoustic boundary conditions
nonconforming space discretization
a-priori error bounds
Open Access
Creative Commons Attribution Non Commercial Share Alike 4.0 International
Leibold, Jan
This code is used for the numerical experiment in Section 6 of the preprint
"A unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions"
by Jan Leibold.
The computations are done in C++ using the Finite Element library deal.II; the plots then are generated with Matlab.
To use this code, deal.II (release 9.3.2) has to be installed, cf. https://www.dealii.org/9.3.0
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.
Finally, run the program with "make run". This performs the computations and generates the file "results"
containing the results of the numerical experiments.
After that, the plots can be generated with the Matlab Script 'plot_figures.m'.
10.5445/IR/1000139898
application/x-tar