Numerical experiments to "full discretization error analysis of semilinear wave equations with exponential integrators" (version 2)

doi:doi:10.35097/1539

Numerical experiments to "full discretization error analysis of semilinear wave equations with exponential integrators" (version 2)

TechnicalRemarks: This code is used for the numerical experiments in Section 6 of the paper "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" and then "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.

Note that the computations take several hours to a few days depending on the computer.

After that, the plots can be generated with the Matlab Script 'plot_figures.m'.

BibTex:

@dataset{Dörich_Benjamin_and_Leibold_Jan_2023,
    abstract = {TechnicalRemarks: This code is used for the numerical experiments in Section 6 of the paper "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" and then "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.

Note that the computations take several hours to a few days depending on the computer.

After that, the plots can be generated with the Matlab Script 'plot_figures.m'.},
    author = {Dörich, Benjamin and Leibold, Jan},
    doi = {10.35097/1539},
    institution = {RADAR},
    keyword = {'a-priori error bounds', 'dynamic boundary conditions', 'error analysis', 'exponential integrators', 'full discretization', 'nonconforming space discretization', 'semilinear evolution equations', 'wave equation'},
    title = {Numerical experiments to "full discretization error analysis of semilinear wave equations with exponential integrators" (version 2)},
    url = {https://service.tib.eu/ldmservice/vdataset/rdr-doi-10-35097-1539},
    year = {2023}
}