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. © 2010 World Scientific Publishing Company.
Auricchio, F., BEIRAO DA VEIGA, L., Hughes, T., Reali, A., Sangalli, G. (2010). Isogeometric collocation methods. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 20(11), 2075-2107 [10.1142/S0218202510004878].
Isogeometric collocation methods
BEIRAO DA VEIGA, LOURENCOSecondo
;
2010
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. © 2010 World Scientific Publishing Company.
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