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SUMMARY:The implicit boundary integral method - Richard Tsai (UT Austin)
DTSTART:20220615T130000Z
DTEND:20220615T140000Z
UID:TALK174329@talks.cam.ac.uk
CONTACT:Willem Diepeveen
DESCRIPTION:In this talk\, I will describe a systematic approach for exten
 ding a class of integro-differential operators\, defined on hypersurfaces\
 , to ones defined in the tubular neighborhoods in the ambient Euclidean sp
 ace. Surface integrals become localized volume integrals with identical ev
 aluations. Such extensions facilitate the development of numerical methods
  for boundary integral methods and partial differential equations in appli
 cations where parameterization of surfaces is costly or difficult (e.g.\, 
 inverse problems involving shapes). I will show applications of the implic
 it boundary integral method and relate to other existing methods. 
LOCATION:Centre for Mathematical Sciences\, MR5
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