Numerical experiments to "a unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions"

doi:doi:10.35097/1535

Numerical experiments to "a unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions"

TechnicalRemarks: 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'.

BibTex:

@dataset{Leibold_Jan_2023,
    abstract = {TechnicalRemarks: 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'.},
    author = {Leibold, Jan},
    doi = {10.35097/1535},
    institution = {RADAR},
    keyword = {'a-priori error bounds', 'acoustic boundary conditions', 'error analysis', 'maximal monotone operators', 'nonconforming space discretization', 'nonlinear evolution equations', 'wave equation'},
    title = {Numerical experiments to "a unified error analysis for nonlinear wave-type equations with application to acoustic boundary conditions"},
    url = {https://service.tib.eu/ldmservice/vdataset/rdr-doi-10-35097-1535},
    year = {2023}
}