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SUMMARY:Jared Wunsch (Northwestern University)
DTSTART:20220317T160000Z
DTEND:20220317T170000Z
DTSTAMP:20260423T021154Z
UID:Inverse/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/83/"
 >Semiclassical analysis and the convergence of the finite element method</
 a>\nby Jared Wunsch (Northwestern University) as part of International Zoo
 m Inverse Problems Seminar\, UC Irvine\n\n\nAbstract\nAn important problem
  in numerical analysis is the solution of the Helmholtz equation in exteri
 or domains\, in variable media\; this models the scattering of time-harmon
 ic waves.  The Finite Element Method (FEM) is a flexible and powerful tool
  for obtaining numerical solutions\, but difficulties are known to arise i
 n obtaining convergence estimates for FEM that are uniform as the frequenc
 y of waves tends to infinity.  I will describe some recent joint work with
  David Lafontaine and Euan Spence that yields new convergence results for 
 the FEM which are uniform in the frequency parameter.  The essential new t
 ools come from semiclassical microlocal analysis.  No knowledge of either 
 FEM or semiclassical analysis will be assumed in the talk\, however.\n
LOCATION:https://researchseminars.org/talk/Inverse/83/
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