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dc.contributor.authorLiu, Xiaoyingen_US
dc.contributor.authorZhao, Zhiyeen_US
dc.contributor.authorAn, Xinmeien_US
dc.contributor.authorJiao, Yuyongen_US
dc.identifier.citationThis is the peer reviewed version of the following article: Liu, X., Zhao, Z., An, X., & Jiao, Y. (2018). Local refinement of flat-top partition of unity based high-order approximation. International Journal for Numerical Methods in Engineering, 116(7), 465-486. doi:10.1002/nme.5932, which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.en_US
dc.description.abstractThe high‐order approximation with regularly patterned flat‐top partition of unity mesh in one‐ and two‐dimensional cases has been proven linearly independent. However, for problems with stress concentration or stress singularity, local refinement within the regular mesh is necessary to improve the accuracy and efficiency. This paper introduces local refinement of flat‐top partition of unity mesh within the framework of high‐order approximation in one‐ and two‐dimensional spaces, respectively. Based on the traditional PU mesh, the construction of locally refined flat‐top PU mesh is straightforward. With the rank deficiency counting approach, linear independence is proven from element level for the locally refined mesh system. Based on the numerical solution procedure presented, two numerical examples are analyzed to verify the proposed approximation method.en_US
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_US
dc.rights© 2018 John Wiley & Sons Ltd. All rights reserved. This paper was published in International Journal for Numerical Methods in Engineering and is made available with permission of John Wiley & Sons Ltd.en_US
dc.subjectEngineering::Civil engineeringen_US
dc.titleLocal refinement of flat‐top partition of unity based high‐order approximationen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Civil and Environmental Engineeringen_US
dc.description.versionAccepted versionen_US
dc.subject.keywordsFlat-top Partition of Unityen_US
dc.subject.keywordsHigh-order Approximationen_US
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