partial differential equations Operator-Splitting methods iterative methods seismic sources and waves consistency analysis Operator-Splitting Methods For Wave-Equations. Juergen Geiser Geiser Juergen Volker Schlosshauer Schlosshauer Volker Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 15 pp.

Operator-Splitting Methods For Wave-Equations.

Juergen Geiser , Volker Schlosshauer

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 15 pp.

MSC 2000

80A20 Heat and mass transfer, heat flow
80M25 Other numerical methods

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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