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Help solving a PDE system

  1. Jan 26, 2012 #1
    Hi all, I am looking for ways to solve the following system of equations for [itex]\vec{B}[/itex]:
    \vec{B} \cdot \nabla f = 0
    \left( \nabla \times \vec{B} \right) \cdot \nabla f = 0
    \nabla \cdot \vec{B} = 0
    and [itex]f[/itex] is a known scalar function. I think we can assume there is a solution since we have 3 equations and 3 unknown components of [itex]\vec{B}[/itex].

    I don't think there is an analytic solution here, but could someone give some pointers on how one would solve this system numerically?
  2. jcsd
  3. Feb 1, 2012 #2


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    Method of characteristics I think?
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