Numerical solution of vector potential

[santanaa]

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?

 

[Bob_for_short]

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).

 

[santanaa]

thanks for the pointer. Any idea about the numerical method to solve?

 

[ZapperZ]

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.