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2011-08-11Buch DOI: 10.18452/2768
Iterative operator-splitting methods for wave equations with stability results and numerical examples
dc.contributor.authorGeiser, Jürgen
dc.contributor.authorNoack, Lena
dc.date.accessioned2017-06-15T18:14:22Z
dc.date.available2017-06-15T18:14:22Z
dc.date.created2011-08-11
dc.date.issued2011-08-11
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3420
dc.description.abstractWe are motivated by simulating a three-dimensional wave equation for an anisotropic material with stress-free boundary conditions. The applications are suited in the earthquake simulation that is based on seismic model problems. In this paper we discuss the efficiency of a higher-order time-discretization method, that is based on an iterative operator-splitting method. The main contribution is deriving the initial starting conditions for the iterative method; we propose different ideas and results for a pre-stepping method. The operator-splitting methods are well-know to solve such complex multi-dimensional and multi-physical problems. By decoupling the complex systems of differential equations into simpler equations, we save memory and computational resources. The iterative splitting method is discussed with its stability and consistency analysis. We verify our numerical methods with computational results based on our software tool $OPERA-SPLITT$. We present 2D and 3D wave equations with different higher-order splitting ideas. Finally we discuss the next works.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectPartial differential equationseng
dc.subjectseismic sources and waveseng
dc.subjectoperator-splitting methodseng
dc.subjectiterative methodseng
dc.subjectstability and consistency analysiseng
dc.subject.ddc510 Mathematik
dc.titleIterative operator-splitting methods for wave equations with stability results and numerical examples
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-100190552
dc.identifier.doihttp://dx.doi.org/10.18452/2768
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages15
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2007
local.edoc.container-issue10
local.edoc.container-year2007
local.edoc.container-erstkatid2075199-0

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