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SUMMARY:Mihály Kovács (Pázmány Péter Catholic University and Budapest
  University of Technology and Economics and Chalmers University of Technol
 ogy)
DTSTART:20260126T121500Z
DTEND:20260126T130000Z
DTSTAMP:20260417T003507Z
UID:cam/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/89/">Neu
 mann-Neumann type domain decomposition of elliptic problems on metric grap
 hs</a>\nby Mihály Kovács (Pázmány Péter Catholic University and Budap
 est University of Technology and Economics and Chalmers University of Tech
 nology) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract\nWe 
 develop a Neumann-Neumann type domain decomposition method for elliptic pr
 oblems on metric\ngraphs. We describe the iteration in the continuous and 
 discrete setting and rewrite the latter as a preconditioner\nfor the Schur
  complement system. Then we formulate the discrete iteration as an abstrac
 t\nadditive Schwarz iteration and prove that it converges to the finite el
 ement solution with a rate that is\nindependent of the finite element mesh
  size. We also show that the condition number of the Schur complement\nis 
 bounded uniformly with respect to the finite element mesh size. We discuss
  various numerical\nexamples of interest and compare the Neumann-Neumann m
 ethod to other preconditioners.\n\nThis research was partially funded by t
 he Hungarian National Research\, Development and Innovation\nOffice (NKFIH
 ) through Grant no. K-145934.\n
LOCATION:https://researchseminars.org/talk/cam/89/
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