# Magnetic Linear Inverse Problem

**URL:** <https://simpeg.discourse.group/t/magnetic-linear-inverse-problem/343>\
**Category:** Getting Started\
**Created:** [July 1, 2022, 10:08am UTC](https://simpeg.discourse.group/t/magnetic-linear-inverse-problem/343 "2022-07-01T10:08:35Z")\
**Posts on this page:** 1\
**Page:** 1

<div class="post-metadata">

**Author:** ![1apsus](https://avatars.discourse-cdn.com/v4/letter/1/b5ac83/32.png) [@1apsus](https://simpeg.discourse.group/u/1apsus)\
**Post date:** [July 1, 2022, 10:08am UTC](https://simpeg.discourse.group/t/magnetic-linear-inverse-problem/343/1 "2022-07-01T10:08:35Z")

</div>

Hello,

I am working on Reconstruction of current distribution from Magnetic field measurements.  
By using Biot&Svart’s law, we can obtain a linear inverse problem of the form: d = Gm, where d is the Magnetic field measurements and m the Current distribution. So here, I have no sources, only receivers.  
I would like to use SimPEG to solve this problem (even if it’s not directly related to geophysics) because of the nice mesh generator, easiness to add constraints, …

Thus, I am trying to find a Current Distribution on the edges of the mesh (2D or 3D), I struggle to find a nice way to do it, since every problems I see are modelled/solved on cells and not edges. (Am I wrong ?)  
For example :

- The regularization.Tikhonov() class requires a mesh object (to work on cells and not edges).
- I cannot find a nice way to build a model on edges (model\_builder from SimPEG.utils is good to build model on cells)

Is my way of sovling this problem wrong ?

I am quite new to all of this, so this is maybe some stupid questions…

Thank you very much