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Numerical solution of vector potential

  1. Sep 25, 2009 #1
    I have a field ,B, I need to find the other field,A, such that

    -> __ ->
    B = \/ x A

    I need numerical solution, given B sampled on a 3D computational grid (finite difference hexahedra) find A. What numerical methods could be used?
  2. jcsd
  3. Sep 25, 2009 #2
    This equation is not sufficient to find A. You have first to fix the "gauge", for example, add divA=0 and dA/dt = 0 (a static field).
    Last edited: Sep 25, 2009
  4. Sep 25, 2009 #3
    thanks for the pointer. Any idea about the numerical method to solve?
  5. Sep 25, 2009 #4


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    Staff Emeritus
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    You do know what the "curl" is, right?

    Assuming that you do, write out the differential equation in whatever coordinate system that is relevant to the problem, and then use any of the differential equation solver method, such as Runge-Kutta, etc.

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