Tzanio Kolev

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This PR is now [under review](https://github.com/mfem/mfem/blob/master/CONTRIBUTING.md#pull-requests) (see the table in the PR description). To help with the review process, please **do not force push** to the branch.

Now that PR https://github.com/mfem/mfem/pull/3922 has been merged in `master`, please update this PR by: 1. merging `master` in here and resolving conflicts 2. replacing use of `double` with `real_t` 3....

The latest commit [breaks the code](https://github.com/mfem/mfem/actions/runs/8473876501/job/23219131254?pr=4113#step:18:818) (`visualization` has to be passed to `ComputeCurrentDensityOnSubMesh`) ~@mlstowell -- can you take a look and fix it?~ 🍒-picked the solution from `mfem-4.7-dev`

should we merge `master` in here, or not yet?

This PR is now [under review](https://github.com/mfem/mfem/blob/master/CONTRIBUTING.md#pull-requests) (see the table in the PR description). To help with the review process, please **do not force push** to the branch.

We can include this, but my vote is to also revert the `const` changes in https://github.com/mfem/mfem/pull/4078/files#diff-d491a11d02da464b9d56aa1220e945197b3414bd2218ff61dccf16fab1d7aa0a