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Operator-splitting methods for wave-equations

Geiser, Jürgen
Schlosshauer, Volker
Journal: 2007
: -
DOI: https://doi.org/10.23689/fidgeo-633
Geiser, Jürgen; Schlosshauer, Volker, 2007: Operator-splitting methods for wave-equations. In: Preprint/Humboldt-Universität Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik; 2007,6, DOI: 10.23689/fidgeo-633.
 
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  • Abstract
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.
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  • Geophysik, Extraterrestische Forschung [963]
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