On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity

Simple item page
dc.contributor.authorHan, Weimin
dc.contributor.authorReddy, B Daya
dc.date.accessioned2021-10-08T07:16:03Z
dc.date.available2021-10-08T07:16:03Z
dc.date.issued1995
dc.description.abstractWe analyze the finite-element method for a class of mixed variational inequalities of the second kind, which arises in elastoplastic problems. An abstract variational inequality, of which the elastoplastic problems are special cases, has been previously introduced and analyzed [B. D. Reddy, Nonlinear Anal., 19 (1992), pp. 1071-1089], and existence and uniqueness results for this problem have been given there. In this contribution the same approach is taken ; that is, finite-element approximations of the abstract variational inequality are analyzed, and the results are then discussed in further detail in the context of the concrete problems. Results on convergence are presented, as are error estimates. Regularization methods are commonly employed in variational inequalities of this kind, in both theoretical and computational investigations. We derive a posteriori error estimates which enable us to determine whether the solution of a regularized problem can be taken as a sufficiently accurate approximation of the solution of the original problem.
dc.identifier.apacitationHan, W., & Reddy, B. D. (1995). On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity. <i>SIAM Journal on Numerical Analysis</i>, 32(6), 1778 - 1807. http://hdl.handle.net/11427/34760en_ZA
dc.identifier.chicagocitationHan, Weimin, and B Daya Reddy "On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity." <i>SIAM Journal on Numerical Analysis</i> 32, 6. (1995): 1778 - 1807. http://hdl.handle.net/11427/34760en_ZA
dc.identifier.citationHan, W. & Reddy, B.D. 1995. On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity. <i>SIAM Journal on Numerical Analysis.</i> 32(6):1778 - 1807. http://hdl.handle.net/11427/34760en_ZA
dc.identifier.issn0036-1429
dc.identifier.issn1095-7170
dc.identifier.ris TY - Journal Article AU - Han, Weimin AU - Reddy, B Daya AB - We analyze the finite-element method for a class of mixed variational inequalities of the second kind, which arises in elastoplastic problems. An abstract variational inequality, of which the elastoplastic problems are special cases, has been previously introduced and analyzed [B. D. Reddy, Nonlinear Anal., 19 (1992), pp. 1071-1089], and existence and uniqueness results for this problem have been given there. In this contribution the same approach is taken ; that is, finite-element approximations of the abstract variational inequality are analyzed, and the results are then discussed in further detail in the context of the concrete problems. Results on convergence are presented, as are error estimates. Regularization methods are commonly employed in variational inequalities of this kind, in both theoretical and computational investigations. We derive a posteriori error estimates which enable us to determine whether the solution of a regularized problem can be taken as a sufficiently accurate approximation of the solution of the original problem. DA - 1995 DB - OpenUCT DP - University of Cape Town IS - 6 J1 - SIAM Journal on Numerical Analysis LK - https://open.uct.ac.za PY - 1995 SM - 0036-1429 SM - 1095-7170 T1 - On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity TI - On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity UR - http://hdl.handle.net/11427/34760 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/34760
dc.identifier.vancouvercitationHan W, Reddy BD. On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity. SIAM Journal on Numerical Analysis. 1995;32(6):1778 - 1807. http://hdl.handle.net/11427/34760.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.sourceSIAM Journal on Numerical Analysis
dc.source.journalissue6
dc.source.journalvolume32
dc.source.pagination1778 - 1807
dc.source.urihttps://dx.doi.org/10.1137/0732081
dc.subject.otherElastoplasticity
dc.subject.otherVariational inequality
dc.subject.otherFinite element method
dc.subject.otherNumerical convergence
dc.subject.otherError estimation
dc.subject.otherA posteriori estimation
dc.subject.otherMixed problem
dc.subject.otherRegularization method
dc.subject.otherQuasi static theory
dc.subject.otherHilbert space
dc.subject.otherElastoplasticité
dc.subject.otherInégalité variationnelle
dc.subject.otherMéthode élément fini
dc.subject.otherConvergence numérique
dc.subject.otherEstimation erreur
dc.subject.otherEstimation a posteriori
dc.subject.otherProblème mixte
dc.subject.otherMéthode régularisation
dc.subject.otherThéorie quasi statique
dc.subject.otherEspace Hilbert
dc.titleOn the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
HanWeimin_On_Finite_Eleme_1995.pdf
Size:
337.07 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Journal Articles