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'.

Cite this as

Dörich, Benjamin, Leibold, Jan (2023). Dataset: Numerical experiments to "full discretization error analysis of semilinear wave equations with exponential integrators" (version 2). https://doi.org/10.35097/1539

DOI retrieved: 2023

Additional Info

Field Value
Imported on August 4, 2023
Last update November 28, 2024
License CC BY-NC-SA 4.0 Attribution-NonCommercial-ShareAlike
Source https://doi.org/10.35097/1539
Author Dörich, Benjamin
Given Name Benjamin
Family Name Dörich
More Authors
Leibold, Jan
Source Creation 2023
Publishers
Karlsruhe Institute of Technology
Production Year 2021
Publication Year 2023
Subject Areas
Name: Mathematics