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SUMMARY:Ragnar Winther
DTSTART:20240429T111500Z
DTEND:20240429T120000Z
DTSTAMP:20260417T003907Z
UID:cam/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/28/">Wha
 t about $p$?</a>\nby Ragnar Winther as part of CAM seminar\n\nLecture held
  in MV:L14.\n\nAbstract\nThe title of this talk refers to a question frequ
 ently asked by Ivo Babuska\, from the late 1980s and on\, following variou
 s talks \non finite element methods. More precisely\, what can we say abou
 t the properties of finite element methods as we raise the polynomial degr
 ee? Even today the so called $p$-method is less understood\,\nand the corr
 esponding analysis is less canonical\, than the traditional approach of me
 sh refinement\, i.e.\, the $h$-method.\nIn recent years Rick Falk and I ha
 ve developed a theory which represents a new tool to analyze finite elemen
 t methods of  high polynomial degree\,\nwhich we refer to as  the bubble t
 ransform. The key idea is to construct a decomposition into local bubbles 
 which \nsimultaneously covers all possible polynomial degrees.\nThe purpos
 e of this talk is to give a review of this theory\, and to discuss \npoten
 tial applications.\n
LOCATION:https://researchseminars.org/talk/cam/28/
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