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SUMMARY:Olof Runborg (KTH)
DTSTART:20250428T111500Z
DTEND:20250428T120000Z
DTSTAMP:20260527T064609Z
UID:cam/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/60/">Sol
 ving Helmholtz Equation Using the Temporal Wave Equation</a>\nby Olof Runb
 org (KTH) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract\nW
 e consider iterative methods for the Helmholtz equation that are based on 
 the related time domain wave equation. In each iteration\, the solution to
  the wave equation with a time-periodic forcing is computed and filtered i
 n time. For Dirichlet and Neumann problems the iteration corresponds to a 
 linear and coercive operator which\, after discretization\, is recast as a
  positive definite linear system of equations that can be solved with the 
 conjugate gradient method. The main benefit of using these iterations come
 s when considering large scale problems. Implementing parallelized\, high 
 order methods that run efficiently on big computers is typically easier to
  do for time domain methods than for traditional Helmholtz solvers. We als
 o show how the iterations can be used to turn a multiscale method for the 
 wave equation into a multiscale method for the Helmholtz equation.\n
LOCATION:https://researchseminars.org/talk/cam/60/
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