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2015-05-01Zeitschriftenartikel DOI: 10.1016/j.camwa.2014.12.001
Several path-following methods for a class of gradient constrained variational inequalities
dc.contributor.authorHintermüller, M.
dc.contributor.authorRasch, J.
dc.date.accessioned2017-06-17T16:15:26Z
dc.date.available2017-06-17T16:15:26Z
dc.date.created2017-05-08
dc.date.issued2015-05-01
dc.identifier.urihttp://edoc.hu-berlin.de/18452/14346
dc.description.abstractPath-following splitting and semismooth Newton methods for solv- ing a class of problems related to elasto-plastic material deformations are pro- posed, analyzed and tested numerically. While the splitting techniques result in alternating minimization schemes, which are typically linearly convergent, the proposed Moreau-Yosida regularization based semismooth Newton tech- nique and an associated lifting step yield local superlinear convergence in func- tion space. The lifting step accounts for the fact that the operator associated with the linear system in the Newton iteration need not be boundedly invert- ible (uniformly along the iterates). For devising an efficient update strategy for the path-following parameter regularity properties of the path are studied and utilized within an inexact path-following scheme for all approaches. The paper ends by a report on numerical tests of the different approaches.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectpointwise gradient constraintseng
dc.subjectMoreau–Yosida regularizationeng
dc.subjectsemismooth Newton methodseng
dc.subjectpath-followingeng
dc.subject.ddc510 Mathematik
dc.titleSeveral path-following methods for a class of gradient constrained variational inequalities
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-100246462
dc.identifier.doi10.1016/j.camwa.2014.12.001
dc.identifier.doihttp://dx.doi.org/10.18452/13694
local.edoc.container-titleComputers & Mathematics with Applications
local.edoc.anmerkungThe final publication (doi: 10.1016/j.camwa.2014.12.001) is available at Elsevier:http://www.sciencedirect.com/science/article/pii/S0898122114005872
local.edoc.type-nameZeitschriftenartikel
local.edoc.institutionMathematisch-Naturwissenschaftliche Fakultät
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
local.edoc.container-publisher-nameElsevier
local.edoc.container-volume69
local.edoc.container-issue10
local.edoc.container-year2015
local.edoc.container-firstpage1045
local.edoc.container-lastpage1067
dc.description.versionPeer Reviewed

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