Technion
 
Analysis seminar
 
Speaker: Stefano De Marchi (University of Padova)
Title: Weakly Admissible Meshes for interpolation and cubature
 
Date: Thursday, January 26 at 2:30 p.m.
Place: Amado 919.
Cookies: 10 minutes before the talk
 
Abstract:  In the paper by Calvi and Levenberg [3], it has been
recognized that the so-called Admissible Meshes (AM) play a central
role in the construction of multivariate polynomial approximation
processes on compact sets of Rd. The concept is essentially a matter
of polynomial inequalities. Since for many compacts the computational
use of such admissible meshes becomes difficult or even impossible
for d = 2, 3 already at mod- erate polynomial degrees, one can
consider Weakly Admissible Meshes (WAM), which have lower cardinality
than admissible ones.
In the talk, we concentrate on the construction of WAMs mainly for
3-dimensional domains, such as, cones and toroidal sections, with two
main applications in mind: polynomial interpolation at the so called
Approximate Fekete Points (AFP) and/or Discrete Leja Points (DLP)
(cf. [1, 2]) and cubature at AFP or DLP.
 
Seminar webpage:  <http://www.technion.ac.il/~tamarzr/analysis.html>
 
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Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Tamar Ziegler   <tamarzr@tx.technion.ac.il>