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UID:news282@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20180716T233431
DTSTART;TZID=Europe/Zurich:20121102T110000
SUMMARY:Seminar in Numerical Analysis: Dominik Schötzau (University of Bri
 tish Columbia)
DESCRIPTION:We introduce and analyze a new mixed finite element method for 
  the  spatial discretization of an incompressible magnetohydrodynamics   p
 roblem. It is based on divergence-conforming elements for the fluid   velo
 cities and on curl-conforming elements for the magnetic unknowns.  The tan
 gential continuity of the velocities is enforced by a DG   approach. Centr
 al features of the resulting method are that it produces   exactly diverge
 nce-free velocity approximations and is provably   energy-stable\, and tha
 t it correctly captures the strongest magnetic  singularities in non-smoot
 h domains. We carry out the error analysis of  the method\, and present a 
 comprehensive set of numerical tests in two  and three dimensions. We also
  discuss some recent ideas regarding the  design of efficient solvers for 
 the matrix systems.
X-ALT-DESC:We introduce and analyze a new mixed finite element method for  
 the  spatial discretization of an incompressible magnetohydrodynamics   pr
 oblem. It is based on divergence-conforming elements for the fluid   veloc
 ities and on curl-conforming elements for the magnetic unknowns.  The tang
 ential continuity of the velocities is enforced by a DG   approach. Centra
 l features of the resulting method are that it produces   exactly divergen
 ce-free velocity approximations and is provably   energy-stable\, and that
  it correctly captures the strongest magnetic  singularities in non-smooth
  domains. We carry out the error analysis of  the method\, and present a c
 omprehensive set of numerical tests in two  and three dimensions. We also 
 discuss some recent ideas regarding the  design of efficient solvers for t
 he matrix systems.  
DTEND;TZID=Europe/Zurich:20121102T120000
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