Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/103298
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dc.contributor.authorNguyen‐Thanh, Nhonen
dc.contributor.authorLi, Weidongen
dc.contributor.authorHuang, Jiazhaoen
dc.contributor.authorSrikanth, Narasimaluen
dc.contributor.authorZhou, Kunen
dc.date.accessioned2019-09-19T05:21:05Zen
dc.date.accessioned2019-12-06T21:09:24Z-
dc.date.available2019-09-19T05:21:05Zen
dc.date.available2019-12-06T21:09:24Z-
dc.date.issued2019en
dc.identifier.citationNguyen‐Thanh, N., Li, W., Huang, J., Srikanth, N., & Zhou, K. (2019). An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems. International Journal for Numerical Methods in Engineering, 120(2), 209-230. doi;http://dx.doi.org/10.1002/nme.6132en
dc.identifier.issn0029-5981en
dc.identifier.urihttps://hdl.handle.net/10356/103298-
dc.identifier.urihttp://hdl.handle.net/10220/49967en
dc.description.abstractA collocation method has been recently developed as a powerful alternative to Galerkin's method in the context of isogeometric analysis, characterized by significantly reduced computational cost, but still guaranteeing higher‐order convergence rates. In this work, we propose a novel adaptive isogeometric analysis meshfree collocation (IGAM‐C) for the two‐dimensional (2D) elasticity and frictional contact problems. The concept of the IGAM‐C method is based upon the correspondence between the isogeometric collocation and reproducing kernel meshfree approach, which facilitates the robust mesh adaptivity in isogeometric collocation. The proposed method reconciles collocation at the Greville points via the discretization of the strong form of the equilibrium equations. The adaptive refinement in collocation is guided by the gradient‐based error estimator. Moreover, the resolution of the nonlinear equations governing the contact problem is derived from a strong form to avoid the disadvantages of numerical integration. Numerical examples are presented to demonstrate the effectiveness, robustness, and straightforward implementation of the present method for adaptive analysis.en
dc.description.sponsorshipNRF (Natl Research Foundation, S’pore)en
dc.format.extent25 p.en
dc.language.isoenen
dc.relation.ispartofseriesInternational Journal for Numerical Methods in Engineeringen
dc.rightsThis is the peer reviewed version of the following article: Nguyen‐Thanh, N., Li, W., Huang, J., Srikanth, N., & Zhou, K. (2019). An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems. International Journal for Numerical Methods in Engineering, 120(2), 209-230, which has been published in final form at http://dx.doi.org/10.1002/nme.6132. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.en
dc.subjectEngineering::Electrical and electronic engineeringen
dc.subjectCollocationen
dc.subjectAdaptiveen
dc.titleAn adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problemsen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Electrical and Electronic Engineeringen
dc.contributor.schoolSchool of Mechanical and Aerospace Engineeringen
dc.contributor.researchEnergy Research Institute @NTUen
dc.identifier.doihttp://dx.doi.org/10.1002/nme.6132en
dc.description.versionAccepted versionen
item.grantfulltextembargo_20200912-
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