Isogeometric Analysis: Toward Integration of CAD and FEA

Abstract eng:
I will review current developments in the Isogeometric Analysis [1,2] approach to problems of computational mechanics and present recent progress toward developing integrated CAD/FEA procedures that do not involve traditional mesh generation and geometry clean-up steps, that is, the CAD file is directly utilized as the analysis input file. I will also summarize some of the mathematical developments within Isogeometric Analysis that confirm the superior accuracy and robustness of spline-based approximations compared with traditional FEA and expand the scope of applications to new areas. In particular, I will explore the relationships among error estimates in Sobolev norms, Kolmogorov n-widths, and structural eigenvalue problems.

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