Modeling electromagnetics on cylindrical meshes with applications to steel-cased wells

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\begin{split} \mathbf{V} \mathbf{D} \mathbf{j} &= \mathbf{q} \\ \mathbf{M}_{\boldsymbol{\rho}}^f \mathbf{j} &= \mathbf{D}^\top \mathbf{V} \boldsymbol{\phi} \end{split}