Numerical solution of vector potential

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To find the vector potential A from a given magnetic field B using the equation B = ∇ x A, it is essential to impose a gauge condition, such as div A = 0 and dA/dt = 0 for static fields. Numerical methods for solving this problem include differential equation solvers like Runge-Kutta. The discussion emphasizes the importance of expressing the differential equation in an appropriate coordinate system before applying these numerical techniques. The challenge lies in the non-uniqueness of A, which necessitates the selection of a gauge. Overall, the focus is on finding suitable numerical approaches to solve the curl equation effectively.
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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?
 
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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).
 
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thanks for the pointer. Any idea about the numerical method to solve?
 
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.

Zz.
 

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