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SUMMARY:Meshless quadrature for curved domains - Oleg Davydov (Justus-Lieb
 ig-Universität Gießen)
DTSTART:20240717T103000Z
DTEND:20240717T111000Z
UID:TALK218167@talks.cam.ac.uk
DESCRIPTION:I will present a new method of generating high order quadratur
 e formulas for domains with piecewise smooth curved boundaries and for sur
 faces\, developed jointly with Bruno Degli Esposti. The main idea is to us
 e the divergence theorem thatconnects two &nbsp\;integrals\, one over the 
 domain and another over its boundary\, and require exactness of the quadra
 ture for the difference of the two integrals applied to the divergence and
  the normal projection\, respectively\, of the elements of a finite dimens
 ional approximation space. This way\, in contrast to traditional methods\,
  there is no need to precompute the &nbsp\;integrals of the basis function
 s or to partition the domain into smooth images of simple elements like cu
 bes or simplices\, which are challenging tasks for complicated domains. &n
 bsp\;&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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