000013415 001__ 13415 000013415 005__ 20161114164234.0 000013415 04107 $$aeng 000013415 046__ $$k2011-05-25 000013415 100__ $$aHughes, Th. 000013415 24500 $$aIsogeometric Analysis: Toward Integration of CAD and FEA 000013415 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering 000013415 260__ $$bNational Technical University of Athens, 2011 000013415 506__ $$arestricted 000013415 520__ $$2eng$$aI 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. 000013415 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000013415 653__ $$a 000013415 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011 000013415 720__ $$aHughes, Th. 000013415 8560_ $$ffischerc@itam.cas.cz 000013415 8564_ $$s13751$$uhttp://invenio.itam.cas.cz/record/13415/files/075.pdf$$yOriginal version of the author's contribution as presented on CD, section: Plenary Lectures. 000013415 962__ $$r13401 000013415 980__ $$aPAPER