2006-01-01Buch DOI: 10.18452/2745
Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations
 dc.contributor.author Geiser, Jürgen dc.contributor.author Gedicke, Joscha dc.date.accessioned 2017-06-15T18:09:55Z dc.date.available 2017-06-15T18:09:55Z dc.date.created 2006-09-13 dc.date.issued 2006-01-01 dc.identifier.issn 0863-0976 dc.identifier.uri http://edoc.hu-berlin.de/18452/3397 dc.description.abstract In 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.iso eng dc.publisher Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik dc.subject Operator Splitting method eng dc.subject Iterative Solver methods eng dc.subject relaxation methods eng dc.subject consistency analysis eng dc.subject stability analysis eng dc.subject multi-physics problems eng dc.subject.ddc 510 Mathematik dc.title Nonlinear Iterative Operator-Splitting Methods and Applications for Nonlinear Parabolic Partial Differential Equations dc.type book dc.identifier.urn urn:nbn:de:kobv:11-10068057 dc.identifier.doi http://dx.doi.org/10.18452/2745 dc.subject.dnb 27 Mathematik local.edoc.container-title Preprints aus dem Institut für Mathematik local.edoc.pages 18 local.edoc.type-name Buch local.edoc.container-type series local.edoc.container-type-name Schriftenreihe local.edoc.container-volume 2006 local.edoc.container-issue 17 local.edoc.container-year 2006 local.edoc.container-erstkatid 2075199-0