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• W2300110358 abstract "In this paper, we present the isogeometric least-squares collocation (IGA-L) method, which determines the numerical solution by making the approximate differential operator fit the real differential operator in a least-squares sense. The number of collocation points employed in IGA-L can be larger than that of the unknowns. Theoretical analysis and numerical examples presented in this paper show the superiority of IGA-L over state-of-the-art collocation methods. First, a small increase in the number of collocation points in IGA-L leads to a large improvement in the accuracy of its numerical solution. Second, IGA-L method is more flexible and more stable, because the number of collocation points in IGA-L is variable. Third, IGA-L is convergent in some cases of singular parameterization. Moreover, the consistency and convergence analysis are also developed in this paper." @default.
• W2300110358 created "2016-06-24" @default.
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• W2300110358 date "2016-01-26" @default.
• W2300110358 modified "2023-10-16" @default.
• W2300110358 title "Isogeometric Least-squares Collocation Method with Consistency and Convergence Analysis" @default.
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• W2300110358 doi "https://doi.org/10.48550/arxiv.1601.07244" @default.
• W2300110358 hasPublicationYear "2016" @default.
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