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SUMMARY:Giancarlo Sangalli (Università di Pavia\, Italy)
DTSTART:20210914T140000Z
DTEND:20210914T150000Z
DTSTAMP:20260423T052331Z
UID:SNAP/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNAP/11/">Is
 ogeometric Analysis: high-order numerical solution of PDEs and computation
 al challenges</a>\nby Giancarlo Sangalli (Università di Pavia\, Italy) as
  part of Seminars on Numerics and Applications\n\n\nAbstract\nThe concept 
 of $k$-refinement was proposed as one of the key features of isogeometric 
 analysis\,\n"a new\, more efficient\, higher-order concept"\, in the semin
 al work [1]. The idea of using\nhigh-degree and continuity splines (or NUR
 BS\, etc.) as a basis for a new high-order method\nappeared very promising
  from the beginning\, and received confirmations from the next development
 s.\nThe $k$-refinement leads to several advantages: higher accuracy per de
 gree-of-freedom\,\nimproved spectral accuracy\, the possibility of structu
 re-preserving smooth discretizations are\nthe most interesting features th
 at have been studied actively in the community. At the same\ntime\, the $k
 $-refinement brings significant challenges at the computational level: usi
 ng standard\nfinite element routines\, its computational cost grows with r
 espect to the degree\, making\ndegree raising computationally expensive. H
 owever\, recent ideas allow a computationally efficient\n$k$-refinement.\n
 <br />\n<b>References</b>\n<br />\n[1] T.J.R. Hughes\, J.A. Cottrell\, and
  Y. Bazilevs\, <i>"Isogeometric analysis: CAD\, finite elements\,\nNURBS\,
  exact geometry and mesh refinement"</i>\, Comput. Methods Appl. Mech. Eng
 rg.\, Vol. 194\,\npp. 4135-4195 (2005).\n
LOCATION:https://researchseminars.org/talk/SNAP/11/
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