Analytical expression for electric field of planar region with non-uniform Dirichlet BC as Biot-Savart plus angular variation term, tested on circular contours.
An analytic solution for the potential due to a circular parallel plate capacitor
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Evaluation of the Biot-Savart integral in electrostatic problems with non-uniform Dirichlet boundary conditions
Analytical expression for electric field of planar region with non-uniform Dirichlet BC as Biot-Savart plus angular variation term, tested on circular contours.