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team:gdeliege:espaint

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team:gdeliege:espaint [2015/08/13 17:08] geoffreyteam:gdeliege:espaint [2016/03/30 15:23] (current) – external edit 127.0.0.1
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-==== Electrostatic painting ====+===== Electrostatic painting =====
  
 === Problem description === === Problem description ===
  
 Electrostatic painting is one of the applications I studied during my PhD. Electrostatic painting is one of the applications I studied during my PhD.
-I started from a mathematical model by François Henrotte+I started from a mathematical model by François Henrotte [1]
 and used this nice coupled problem to test different potential and mixed formulations and used this nice coupled problem to test different potential and mixed formulations
 of electrostatic equations. of electrostatic equations.
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 It must be noted that electrostatic and magnetostatic mixed formulations have the same stability problems as Stokes equations when the shape functions do not satisfy the Babuska-Brezzi inf-sup condition. It must be noted that electrostatic and magnetostatic mixed formulations have the same stability problems as Stokes equations when the shape functions do not satisfy the Babuska-Brezzi inf-sup condition.
 Fortunately, a stabilization technique developed in fluid mechanics, the so-called Pressure-Stabilized Petrov-Galerkin formulation, works fine with Maxwell's equations as well [3]. Fortunately, a stabilization technique developed in fluid mechanics, the so-called Pressure-Stabilized Petrov-Galerkin formulation, works fine with Maxwell's equations as well [3].
 +
 +=== Finite element simulations ===
  
 The geometrical model is a box extending from the middle of a wire to half the distance between two consecutive wires (Fig. 1). The geometrical model is a box extending from the middle of a wire to half the distance between two consecutive wires (Fig. 1).
team/gdeliege/espaint.1439478494.txt.gz · Last modified: 2016/03/30 15:22 (external edit)

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