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Numerical experiments to "Full discretization error analysis of semilinear wave equations with exponential integrators"

Dörich, Benjamin ORCID iD icon; Leibold, Jan


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsdaten
Publikationsdatum 12.07.2021
Erstellungsdatum 05.07.2021
Identifikator DOI (KIT): 10.5445/IR/1000134973
KITopen-ID: 1000134973
Lizenz Creative Commons Namensnennung – Nicht kommerziell – Weitergabe unter gleichen Bedingungen 4.0 International
Projektinformation SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019)
Externe Relationen Siehe auch
Schlagwörter error analysis, full discretization, exponential integrators, wave equation, semilinear evolution equations, dynamic boundary conditions, nonconforming space discretization, a-priori error bounds
Liesmich

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

Art der Forschungsdaten Dataset
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