2026-08-07T05:20:56Zhttps://www.radar-service.eu/oai/OAIHandler10.35097/15032023-11-15T14:45:25Zradar4kit
10.35097/1503
Dörich, Benjamin
Benjamin
Dörich
0000-0001-5840-2270
Leibold, Jan
Jan
Leibold
Numerical experiments to "Full discretization error analysis of semilinear wave equations with exponential integrators"
Karlsruhe Institute of Technology
2021
2023
Mathematics
error analysis
full discretization
exponential integrators
wave equation
semilinear evolution equations
dynamic boundary conditions
nonconforming space discretization
a-priori error bounds
Open Access
Creative Commons Attribution Non Commercial Share Alike 4.0 International
Dörich, Benjamin
0000-0001-5840-2270
Leibold, Jan
This code is used for the numerical experiments in Section 6 of the preprint
>"Full discretization error analysis of semilinear wave equations with exponential integrators"
by Benjamin Dörich and 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 9.2.0) 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 ; make
to compile the files.
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
An updated version of this dataset can be found at https://doi.org/10.5445/IR/1000141073
10.5445/IR/1000134973
application/x-tar