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Isogeometric analysis using T-splines. (English) Zbl 1227.74123
Summary: We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for isogeometric analysis. We review T-splines as a surface design methodology and then develop it for engineering analysis applications. We test T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases. We summarize the current status of T-splines, their limitations, and future possibilities.

74S99 Numerical and other methods in solid mechanics
76M99 Basic methods in fluid mechanics
65D17 Computer-aided design (modeling of curves and surfaces)
65D07 Numerical computation using splines
Full Text: DOI
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