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SUMMARY:Computational scattering in complex multiscale media - Barbara Ver
 fürth (Universität Bonn)
DTSTART:20230417T134500Z
DTEND:20230417T143000Z
UID:TALK198697@talks.cam.ac.uk
DESCRIPTION:Scattering in spatially varying media can lead to a plethora o
 f interesting phenomena and their numerical simulation still poses severe 
 challenges. At the example of the Helmholtz equation\, we present the Loca
 lized Orthogonal Decomposition (LOD)\, a computational multiscale method a
 ble to cope with rather unstructured coefficients and high-frequency regim
 es. The talk focuses on strategies for two additional challenges\, namely 
 high-contrast and nonlinear media. For the high-contrast case\, we present
  a suitable adaption of the LOD\, discuss error estimates and show numeric
 al examples illustrating resonance effects from the high contrast. For the
  nonlinear Helmholtz equation\, we propose an adaptive iterative multiscal
 e approximation inspired by the LOD and present its a priori error analysi
 s.
LOCATION:Seminar Room 1\, Newton Institute
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