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UID:news1500@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20230427T100910
DTSTART;TZID=Europe/Zurich:20230505T110000
SUMMARY:Seminar in Numerical Analysis: Elena Moral Sánchez (Max-Planck Ins
 titute for Plasma Physics)
DESCRIPTION:The cold-plasma wave equation describes the propagation of an e
 lectromagnetic wave in a magnetized plasma\, which is an inhomogeneous\, d
 ispersive and anisotropic medium. The thermal effects are assumed to be ne
 gligible\, which leads to a linear partial differential equation. Besides\
 , we assume that the electromagnetic field of the propagating wave is in t
 he time-harmonic regime. This model has applications in magnetic confineme
 nt fusion devices\, like the Tokamak. Namely\, electromagnetic waves are u
 sed to heat up the plasma (Electron cyclotron resonance heating (ECRH)) or
  for interferometry and reflectometry diagnostics (to measure plasma densi
 ty and position\, etc.).  In the first part of this talk\, we introduce th
 e cold-plasma model\, together with a qualitative study of the plasma mode
 s which expose the complexity of the problem. In the second part\, we desc
 ribe the problem and the simplifications we carry out\, which yield the in
 definite Helmholtz equation. It is solved with B-Spline Finite Elements pr
 ovided by the Psydac library and some results are shown. Lastly\, we discu
 ss the performance and potential ways of preconditioning.\\r\\n\\r\\nFor f
 urther information about the seminar\, please visit this webpage [t3://pag
 e?uid=1115].
X-ALT-DESC:<p>The cold-plasma wave equation describes the propagation of an
  electromagnetic wave in a magnetized plasma\, which is an inhomogeneous\,
  dispersive and anisotropic medium. The thermal effects are assumed to be 
 negligible\, which leads to a linear partial differential equation. Beside
 s\, we assume that the electromagnetic field of the propagating wave is in
  the time-harmonic regime.<br /> This model has applications in magnetic c
 onfinement fusion devices\, like the Tokamak. Namely\, electromagnetic wav
 es are used to heat up the plasma (Electron cyclotron resonance heating (E
 CRH)) or for interferometry and reflectometry diagnostics (to measure plas
 ma density and position\, etc.).<br /> <br /> In the first part of this ta
 lk\, we introduce the cold-plasma model\, together with a qualitative stud
 y of the plasma modes which expose the complexity of the problem.<br /> In
  the second part\, we describe the problem and the simplifications we carr
 y out\, which yield the indefinite Helmholtz equation. It is solved with B
 -Spline Finite Elements provided by the Psydac library and some results ar
 e shown. Lastly\, we discuss the performance and potential ways of precond
 itioning.</p>\n\n<p>For further information about the seminar\, please vis
 it this <a href="t3://page?uid=1115" title="Opens internal link in current
  window">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20230505T120000
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