A priori error analysis of virtual element method for contact problem

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dc.contributor.authorWang, Fei
dc.contributor.authorReddy, B Daya
dc.date.accessioned2022-04-03T18:23:55Z
dc.date.available2022-04-03T18:23:55Z
dc.date.issued2022-04-01
dc.date.updated2022-04-03T03:11:11Z
dc.description.abstractAs an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech. 58:1039–1050, 2016), the lowest-order virtual element method was applied to solve the contact problem of two elastic bodies on non-matching meshes. The numerical experiments showed the robustness and accuracy of the virtual element scheme. In this paper, we establish a priori error estimate of the virtual element method for the contact problem and prove that the lowest-order VEM achieves linear convergence order, which is optimal.
dc.identifier.apacitationWang, F., & Reddy, B. D. (2022). A priori error analysis of virtual element method for contact problem. <i>Fixed Point Theory and Algorithms for Sciences and Engineering</i>,(1), 10. http://hdl.handle.net/11427/36247en_ZA
dc.identifier.chicagocitationWang, Fei, and B Daya Reddy "A priori error analysis of virtual element method for contact problem." <i>Fixed Point Theory and Algorithms for Sciences and Engineering</i> 1. (2022): 10. http://hdl.handle.net/11427/36247en_ZA
dc.identifier.citationWang, F. & Reddy, B.D. 2022. A priori error analysis of virtual element method for contact problem. <i>Fixed Point Theory and Algorithms for Sciences and Engineering.</i>(1):10. http://hdl.handle.net/11427/36247en_ZA
dc.identifier.risTY - Journal Article AU - Wang, Fei AU - Reddy, B. D. AB - Abstract As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech. 58:1039–1050, 2016), the lowest-order virtual element method was applied to solve the contact problem of two elastic bodies on non-matching meshes. The numerical experiments showed the robustness and accuracy of the virtual element scheme. In this paper, we establish a priori error estimate of the virtual element method for the contact problem and prove that the lowest-order VEM achieves linear convergence order, which is optimal. DA - 2022-04-01 DB - OpenUCT DP - University of Cape Town KW - Virtual element method KW - Variational inequality KW - A priori error estimate KW - Optimal convergence order LK - https://open.uct.ac.za PY - 2022 T1 - A priori error analysis of virtual element method for contact problem TI - A priori error analysis of virtual element method for contact problem UR - http://hdl.handle.net/11427/36247 ER -en_ZA
dc.identifier.urihttps://doi.org/10.1186/s13663-022-00720-z
dc.identifier.urihttp://hdl.handle.net/11427/36247
dc.identifier.vancouvercitationWang F, Reddy BD. A priori error analysis of virtual element method for contact problem. Fixed Point Theory and Algorithms for Sciences and Engineering. 2022;(1):10. http://hdl.handle.net/11427/36247.en_ZA
dc.language.rfc3066en
dc.publisherSpringer International Publishing
dc.rights.holderThe Author(s)
dc.sourceFixed Point Theory and Algorithms for Sciences and Engineering
dc.source.journalissue1
dc.source.pagination10
dc.source.urihttps://fixedpointtheoryandapplications.springeropen.com/
dc.subjectVirtual element method
dc.subjectVariational inequality
dc.subjectA priori error estimate
dc.subjectOptimal convergence order
dc.titleA priori error analysis of virtual element method for contact problem
dc.typeJournal Article
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