Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method
dc.contributor.author | Geiser, Jürgen | |
dc.contributor.author | Kravvaritis, Christos | |
dc.date.accessioned | 2017-06-15T18:16:47Z | |
dc.date.available | 2017-06-15T18:16:47Z | |
dc.date.created | 2011-08-11 | |
dc.date.issued | 2011-08-11 | |
dc.identifier.issn | 0863-0976 | |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/3432 | |
dc.description.abstract | In this article a new approach is proposed for constructing a domain decomposition method based on the iterative operator-splitting method for nonlinear differential equations. The convergence properties of such a method are studied. The main feature of the proposed idea are the linearization of the nonlinear equations and the application of iterative splitting methods. We present iterative operator-splitting method with embedded Newton methods to solve the nonlinearity. We confirm with numerical applications the effectiveness of the proposed iterative operator-splitting method in comparison with the classical Newton methods. We provide improved results and convergence rates. | eng |
dc.language.iso | eng | |
dc.publisher | Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | numerical analysis | eng |
dc.subject | initial value problems | eng |
dc.subject | operator-splitting method | eng |
dc.subject | iterative solver method | eng |
dc.subject | nonlinear equations | eng |
dc.subject.ddc | 510 Mathematik | |
dc.title | Modified Jacobian Newton Iterative Method with Embedded Domain Decomposition Method | |
dc.type | book | |
dc.identifier.urn | urn:nbn:de:kobv:11-100190678 | |
dc.identifier.doi | http://dx.doi.org/10.18452/2780 | |
local.edoc.pages | 16 | |
local.edoc.type-name | Buch | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 2007 | |
dc.identifier.zdb | 2075199-0 | |
bua.series.name | Preprints aus dem Institut für Mathematik | |
bua.series.issuenumber | 2007,23 |