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Coupling between PDE and Electrostatics

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Dear All,

Does any one have any experience of solving a steady general form of PDE with steady electrostaics module. I am trying to solve a PDE [ Div(DuE) = 0] where D is the mobility coefficient and E is the electric field vector that is obtained from the solution of [Lap(V) = 0] in order to solve for the space charge distribution (u) within the domain, however I am not getting any meaningful results at all and in some cases not even a solution. I am using the default UMFPACK solver.

Regards

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