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SAM Kolloquia

Wednesday
May 16, 2012
Tag vor Auffahrt. Schliessung ETH Gebäude um 17.00 Uhr!
Time: 16:15-16:55

Wednesday
May 23, 2012
Victor Nistor , Penn State University, USA
Boundary value problems on polyhedral domains and applications to quasi-optimal rates for the Finite Element Method
Time: 16:15-17:15 / Place: HG E 1.2
Invited by: C. Schwab


Abstract: I will first review some of the issues and earlier results on boundary value problems on polyhedral domains. The main lesson is that there is a 'loss of regularity' for boundary value problems on singular domains if the usual Sobolev spaces are used. This is inconvenient however in practical applications such as the Finite Element Method. An alternative approach is to use 'weighted Sobolev' spaces. Then one can then restore full regularity for elliptic problems on such domains under the additional condition of that there are no 'Newmann-Newmann' corners or edges (joint result with Bacuta, Mazzucato, and Zikatanov). The case of 'Newmann-Newmann' corners requires some additional ideas. I will then present some results in this case in two dimensions and how they can be used to construct sequences of Finite Element Spaces that provide quasi-optimal approximation rates for transmission and pure Neumann problems (joint work with Mazzucato and Li). This method is then generalized to three dimensions.
Wednesday
May 30, 2012
Helmut Bölcskei , Institut für Kommunikationstechnik, ETH Zürich
Compressive identification of linear operators
Time: 16:15-17:15 / Place: HG E 1.2
Invited by: Ph. Grohs


Abstract: We consider the problem of identifying a linear deterministic operator from an input-output measurement. For the large class of continuous (and hence bounded) operators, under additional mild restrictions, we show that stable identifiability is possible if the total support area of the operator's spreading function satisfies Δ ≤ ½. This result holds for arbitrary (possibly fragmented) support regions of the spreading function, does not impose limitations on the total extent of the support region, and, most importantly, does not require the support region of the spreading function to be known prior to identification. Furthermore, we prove that asking for identifiability of only almost all operators, stable identifiability is possible if Δ ≤ 1. This result is surprising as it says that there is no penalty for not knowing the support region of the spreading function prior to identification.
Wednesday
September 26, 2012
Arieh Iserles , Cambridge University, UK
Title: will be announced later
Time: 16:15-17:15 / Place: HG E 1.2
Invited by: Ph. Grohs



To receive announcements of future SAM kolloquia, send an email request to kolloqium-request@sam.math.ethz.ch to ask to be added to the email list. The announcements are also forwarded to the ETH Numerical Analysis list (naeth@inf.ethz.ch), so if you are on that you do not need to be listed here. The latest posting is made available on this web server (see link above).

 

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