Alternate identifier:
(KITopen-DOI) 10.5445/IR/1000141073
Related identifier:
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Creator/Author:
Dörich, Benjamin https://orcid.org/0000-0001-5840-2270 [Dörich, Benjamin]

Leibold, Jan [Leibold, Jan]
Contributors:
-
Title:
Numerical experiments to "Full discretization error analysis of semilinear wave equations with exponential integrators" (Version 2)
Additional titles:
-
Description:
(Technical Remarks) 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'.
Keywords:
error analysis
full discretization
exponential integrators
wave equation
semilinear evolution equations
dynamic boundary conditions
nonconforming space discretization
a-priori error bounds
Related information:
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Language:
-
Production year:
Subject areas:
Mathematics
Resource type:
Dataset
Data source:
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Software used:
-
Data processing:
-
Publication year:
Rights:
Rights holders:

Leibold, Jan
Funding:
-
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2023-06-24
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kitopen
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