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VERSION:2.0
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CALSCALE:GREGORIAN
X-WR-CALNAME:CAM Colloquium: Johnny Guzman\, Professor of Applied Mathemati
 cs\, Brown University
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260713T004036Z
UID:tag:localist.com\,2008:EventInstance_44225447195571
DTSTART:20231201T204500Z
DTEND:20231201T214500Z
DESCRIPTION:Title: Finite Element Exterior Calculus  (FEEC) with smoother s
 paces\n\nAbstract: FEEC is now a well developed field of numerical analysi
 s. It borrows from and makes connections with several other areas in mathe
 matics (e.g.  algebraic topology\, geometric integration). A central topic
  in FEEC are Whitney forms which were originally developed by H. Whitney t
 o prove de Rham's Theorem. In fact\, Whitney forms were later\, independen
 tly\,  discovered in two and three dimensions by J.-C. Nedelec and since t
 hen have been used in a wide variety of applications: electro-magnetism\, 
 solid mechanics\, etc.   Whitney forms form a discrete de Rham complex of 
 a simplicial decomposition. The regularity of this complex is in some sens
 e minimal\, whereas in some applications forms with more regularity are mo
 re natural. In recent years with collaborators\, borrowing ideas from the 
 spline community we have developed forms that are smoother that also fit i
 nto discrete de Rham complexes.  This led us to tackle two questions that 
 were unresolved in our community: 1) Develop a discrete elasticity sequenc
 e on a simplicial triangulation in three dimensions and 2) justify why Lag
 range elements on special meshes work for Maxwell eigenvalue problems. \n\
 nBio: Ph.D.\, 2005\, Cornell University\, Applied Mathematics. I am a Prof
 essor in the Division of Applied Math at Brown University. My area of rese
 arch is numerical solutions to PDEs.\n\nAwards:\n\nComfort and Urry Family
  Fund Prize\, 2013NSF Postdoctoral Fellowship\, 2005Ford Foundation and Co
 rnell-Sloan Fellowships\, 1999CSULB’s Outstanding Graduate in Mathematic
 s\, 1999
GEO:42.443451;-76.481506
LOCATION:Frank H. T. Rhodes Hall\, 655
SUMMARY:CAM Colloquium: Johnny Guzman\, Professor of Applied Mathematics\, 
 Brown University
URL;VALUE=URI:https://events.cornell.edu/event/cam_colloquium_johnny_guzman
 _professor_of_applied_mathematics_brown_university
CATEGORIES:Colloquium
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