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A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity
dc.contributor.authorYang, Wei H.en_US
dc.contributor.authorBen-Tal, Aharonen_US
dc.contributor.authorTeboulle, Marcen_US
dc.date.accessioned2006-09-11T19:45:36Z
dc.date.available2006-09-11T19:45:36Z
dc.date.issued1991-07en_US
dc.identifier.citationBen-Tal, Aharon; Teboulle, Marc; Yang, Wei H.; (1991). "A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity." Applied Mathematics & Optimization 24(1): 273-288. <http://hdl.handle.net/2027.42/48092>en_US
dc.identifier.issn0095-4616en_US
dc.identifier.issn1432-0606en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/48092
dc.description.abstractThis paper introduces a globally convergent algorithm for solving a class of nonsmooth optimization problems, involving square roots of quadratic forms. The class includes in particular limit analysis problems in plasticity. The algorithm combines smoothing with successive approximation. The main computational effort in each iteration is solving a linear weighted least-squares problem. The convergence of the algorithm is proved and an a priori error estimate is obtained. Numerical results are presented for two limit analysis problems.en_US
dc.format.extent800459 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Springer-Verlag New York Inc.en_US
dc.subject.otherMathematicsen_US
dc.subject.otherSystems Theory, Controlen_US
dc.subject.otherOptimizationen_US
dc.subject.otherNumerical and Computational Methodsen_US
dc.subject.otherMathematical Methods in Physicsen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.titleA least-squares-based method for a class of nonsmooth minimization problems with applications in plasticityen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, University of Michigan, 48109, Ann Arbor, MI, USAen_US
dc.contributor.affiliationotherFaculty of Industrial Engineering and Management, Technion, 32000, Haifa, Israelen_US
dc.contributor.affiliationotherDepartment of Mathematics and Statistics, University of Maryland, Baltimore County Campus, 21228, Baltimore, MD, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/48092/1/245_2005_Article_BF01447746.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01447746en_US
dc.identifier.sourceApplied Mathematics & Optimizationen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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