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SUMMARY:Towards scalable solvers for the time-harmonic Maxwell equations i
 n complex media
DTSTART:20261020T120000Z
DTEND:20261020T130000Z
DTSTAMP:20261029T214500Z
UID:indico-event-17540@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ari Rappaport (LJLL\, Sorbonne Université)\n\nCompu
 ting electromagnetic waves in heterogeneous and anisotropic materials requ
 ires solving large\, challenging linear systems. This talk presents two-le
 vel overlapping Schwarz methods for the time-harmonic Maxwell equations\, 
 combining parallel local solves with a global coarse correction.\nI will d
 iscuss quantitative GMRES convergence estimates that make explicit the dep
 endence on frequency\, material contrast\, absorption\, and the domain dec
 omposition parameters. These estimates give sufficient conditions on the s
 ubdomain and coarse mesh sizes for effective preconditioning. Numerical ex
 periments explore these predictions\, showing how coarse refinement can co
 mpensate for material contrast and where the theoretical conditions are co
 nservative. A parallel absorbing-coating simulation with over seven millio
 n unknowns in 3D illustrates the method's performance beyond the analytica
 l setting.\nJoint work with Marcella Bonazzoli\, Patrick Ciarlet\, and Axe
 l Modave.\n\nhttps://indico.math.cnrs.fr/event/17540/
LOCATION:GI041 (UTC - GI)
URL:https://indico.math.cnrs.fr/event/17540/
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