Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/7013
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Chen, X | - |
dc.creator | Wang, Z | - |
dc.date.accessioned | 2014-12-11T08:26:56Z | - |
dc.date.available | 2014-12-11T08:26:56Z | - |
dc.identifier.issn | 1052-6234 | - |
dc.identifier.uri | http://hdl.handle.net/10397/7013 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2013 Society for Industrial and Applied Mathematics | en_US |
dc.subject | Differential variational inequalities | en_US |
dc.subject | P₀-function | en_US |
dc.subject | Tikhonov regularization | en_US |
dc.subject | Epi-convergence | en_US |
dc.title | Convergence of regularized time-stepping methods for differential variational inequalities | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 1647 | - |
dc.identifier.epage | 1671 | - |
dc.identifier.volume | 23 | - |
dc.identifier.issue | 3 | - |
dc.identifier.doi | 10.1137/120875223 | - |
dcterms.abstract | This paper provides convergence analysis of regularized time-stepping methods for the differential variational inequality (DVI), which consists of a system of ordinary differential equations and a parametric variational inequality (PVI) as the constraint. The PVI often has multiple solutions at each step of a time-stepping method, and it is hard to choose an appropriate solution for guaranteeing the convergence. In [L. Han, A. Tiwari, M. K. Camlibel and J.-S. Pang, SIAM J. Numer. Anal., 47 (2009) pp. 3768--3796], the authors proposed to use “least-norm solutions” of parametric linear complementarity problems at each step of the time-stepping method for the monotone linear complementarity system and showed the novelty and advantages of the use of the least-norm solutions. However, in numerical implementation, when the PVI is not monotone and its solution set is not convex, finding a least-norm solution is difficult. This paper extends the Tikhonov regularization approximation to the P$_0$-function DVI, which ensures that the PVI has a unique solution at each step of the regularized time-stepping method. We show the convergence of the regularized time-stepping method to a weak solution of the DVI and present numerical examples to illustrate the convergence theorems. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on optimization, 2013, v. 23, no. 3, p. 1647–1671 | - |
dcterms.isPartOf | SIAM journal on optimization | - |
dcterms.issued | 2013 | - |
dc.identifier.isi | WOS:000325094000012 | - |
dc.identifier.scopus | 2-s2.0-84886285453 | - |
dc.identifier.eissn | 1095-7189 | - |
dc.identifier.rosgroupid | r67747 | - |
dc.description.ros | 2013-2014 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Chen_Convergence_Regularized_Time-stepping.pdf | 467.57 kB | Adobe PDF | View/Open |
Page views
139
Last Week
2
2
Last month
Citations as of Apr 21, 2024
Downloads
226
Citations as of Apr 21, 2024
SCOPUSTM
Citations
50
Last Week
0
0
Last month
0
0
Citations as of Apr 19, 2024
WEB OF SCIENCETM
Citations
50
Last Week
0
0
Last month
0
0
Citations as of Apr 18, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.