Keywords:
Forschungsbericht
Description / Table of Contents:
The motivation to our studies came from simulation of earth-quakes, that are modeled with elastic wave equations. In our paper we focus on the study of the stiff problems for the wave-equations. Due to this contribution we discuss iterative operator splitting methods for wave-equations motivated from a realistic problem in seismic sources and waves. The operator-splitting methods are wel-know to solve such complicated multidimensional and multi physics problems. We present the consistency analysis for the iterative methods as theoretical background for the wave-equation with respect to the underlying boundary conditions. From the algorithmic point of view we discuss the application of the decoupling and non-decoupling the equations, with respect to the eigenvalues. We verify our methods for test problems with known analytical solutions. Multi-dimensional examples are presented for realistic applications in wave equations. Finally we discuss the results.
Type of Medium:
Online Resource
Pages:
1 Online-Ressource (16 Seiten, 581,48 KB)
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Diagramme
Series Statement:
[Preprint / Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik] [2007,6]
URL:
http://webdoc.sub.gwdg.de/ebook/serien/e/preprint_HUB/P-07-06.pdf
URL:
https://edocs.tib.eu/files/01fn19/568801997.pdf
DDC:
510
Language:
English
Note:
Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden
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