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DTSTART:19810329T020000
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BEGIN:VEVENT
UID:news218@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20180716T180010
DTSTART;TZID=Europe/Zurich:20180413T110000
SUMMARY:Seminar in Numerical Analysis: Philipp Morgenstern (Leibniz Univers
 ität Hannover)
DESCRIPTION:We introduce a mesh refinement algorithm for the Adaptive Isoge
 ometric Method using multivariate T-splines. We investigate linear indepen
 dence of the T-splines\, nestedness of the T-spline spaces\, and linear co
 mplexity in the sense of a uniform upper bound on the ratio of generated a
 nd marked elements\, which is crucial for a later proof of rate-optimality
  of the method. Altogether\, this work paves the way for a provably rate-o
 ptimal Adaptive Isogeometric Method with T-splines in any space dimension.
 \\r\\nAs an outlook to future work\, we outline an approach for the handli
 ng of zero knot intervals and multiple lines in the interior of the domain
 \, which are used in CAD applications for controlling the continuity of th
 e spline functions\, and we also sketch basic ideas for the local refineme
 nt of two-dimensional meshes that do not have tensor-product structure.
X-ALT-DESC:We introduce a mesh refinement algorithm for the Adaptive Isogeo
 metric Method using multivariate T-splines. We investigate linear independ
 ence of the T-splines\, nestedness of the T-spline spaces\, and linear com
 plexity in the sense of a uniform upper bound on the ratio of generated an
 d marked elements\, which is crucial for a later proof of rate-optimality 
 of the method. Altogether\, this work paves the way for a provably rate-op
 timal Adaptive Isogeometric Method with T-splines in any space dimension.\
 nAs an outlook to future work\, we outline an approach for the handling of
  zero knot intervals and multiple lines in the interior of the domain\, wh
 ich are used in CAD applications for controlling the continuity of the spl
 ine functions\, and we also sketch basic ideas for the local refinement of
  two-dimensional meshes that do not have tensor-product structure.
DTEND;TZID=Europe/Zurich:20180413T120000
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