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Isogeometric Analysis is a relatively new approach proposed by T. J. R. Hughes and his group to combine CAD and finite element analysis. The basic idea is to use the same (finite) representations for the geometry and FEM solution space, mostly based on B-splines and NURBS. The major advantage is the exact representation of geometry in computer aided design and analysis. An excellent introduction is given in the book

Isogeometric Analysis: Toward Integration of CAD and FEA
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