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

Leibold, Jan


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsdaten
Publikationsdatum 15.11.2021
Erstellungsdatum 10.11.2021
Identifikator DOI (KIT): 10.5445/IR/1000139898
KITopen-ID: 1000139898
Lizenz Creative Commons Namensnennung – Nicht kommerziell – Weitergabe unter gleichen Bedingungen 4.0 International
Projektinformation SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019)
Schlagwörter error analysis, wave equation, nonlinear evolution equations, maximal monotone operators, acoustic boundary conditions, nonconforming space discretization, a-priori error bounds
Liesmich

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'.

Art der Forschungsdaten Dataset
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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