- #1
vibe3
- 46
- 1
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?
[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?