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ISOGEOMETRIC COLLOCATION METHODS

F. AURICCHIO, L. BEIRÃO DA VEIGA, T. J. R. HUGHES, A. REALI, G. SANGALLI

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Source: Crossref

Published: Nov 1, 2010

DOI: 10.1142/s0218202510004878

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Source abstract

We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to connect the superior accuracy and smoothness of NURBS basis functions with the low computational cost of collocation. We develop a one-dimensional theoretical analysis, and perform numerical tests in one, two and three dimensions. The numerical results obtained confirm theoretical results and illustrate the potential of the methodology.

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