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2006-01-01Buch DOI: 10.18452/2745
Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations
dc.contributor.authorGeiser, Jürgen
dc.contributor.authorGedicke, Joscha
dc.date.accessioned2017-06-15T18:09:55Z
dc.date.available2017-06-15T18:09:55Z
dc.date.created2006-09-13
dc.date.issued2006-01-01
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3397
dc.description.abstractIn this paper we concentrate on nonlinear iterative operator splitting methods for nonlinear differential equations. The motivation arose from decoupling nonlinear operator equations in simpler operator equations. The decomposition in simpler equations allow to apply adaptive time-discretisation methods in each underlying time-scale. Therefore one can solve the equations more effectively and accurate. The underlying coupling of the splitting method is fulfilled with a relaxation, coming from the results of the previous time-steps, the adapted problems. We consider the consistency and stability analysis of the nonlinear iterative operator splitting method. The consistency analysis is based on linearisation. An a priori error estimates is derived for the linearised case. Finally we discuss the iterative operator-splitting methods for the applications to multi-physics problems.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectOperator Splitting methodeng
dc.subjectIterative Solver methodseng
dc.subjectrelaxation methodseng
dc.subjectconsistency analysiseng
dc.subjectstability analysiseng
dc.subjectmulti-physics problemseng
dc.subject.ddc510 Mathematik
dc.titleNonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10068057
dc.identifier.doihttp://dx.doi.org/10.18452/2745
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages18
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2006
local.edoc.container-issue17
local.edoc.container-year2006
local.edoc.container-erstkatid2075199-0

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