Help solving a PDE system

  • Thread starter vibe3
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  • #1
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Main Question or Discussion Point

Hi all, I am looking for ways to solve the following system of equations for [itex]\vec{B}[/itex]:
[tex]
\vec{B} \cdot \nabla f = 0
[/tex]
[tex]
\left( \nabla \times \vec{B} \right) \cdot \nabla f = 0
[/tex]
[tex]
\nabla \cdot \vec{B} = 0
[/tex]
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?
 

Answers and Replies

  • #2
hunt_mat
Homework Helper
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Method of characteristics I think?
 

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