- #1
vibe3
- 39
- 1
Hi all, I am looking for ways to solve the following system of equations for \vec{B}:
<br /> \vec{B} \cdot \nabla f = 0<br />
<br /> \left( \nabla \times \vec{B} \right) \cdot \nabla f = 0<br />
<br /> \nabla \cdot \vec{B} = 0<br />
and f is a known scalar function. I think we can assume there is a solution since we have 3 equations and 3 unknown components of \vec{B}.
I don't think there is an analytic solution here, but could someone give some pointers on how one would solve this system numerically?
<br /> \vec{B} \cdot \nabla f = 0<br />
<br /> \left( \nabla \times \vec{B} \right) \cdot \nabla f = 0<br />
<br /> \nabla \cdot \vec{B} = 0<br />
and f is a known scalar function. I think we can assume there is a solution since we have 3 equations and 3 unknown components of \vec{B}.
I don't think there is an analytic solution here, but could someone give some pointers on how one would solve this system numerically?