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I am working on electrical modeling which I cannot change divergence to matrix form to solve it with finite difference or finite element, anybody can help me?

J Current density

E Electrical field

I Current source

J = σE (1)

J = ρ^(-1)1 E (2)

E = −∇v(x,y,z) (3)

∇ · J = I δ(x − xp) δ(y − yp) δ(z − zp) (4)

∇ · (ρ^(-1) ∇v(x,y,z)) = −I δ(x − xp) δ(y − yp) δ(z − zp) (5)

question is how to solve equation (5) with FD and / or FE methods?

Appreciate your help.

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# Convert Divergence equation into matrix form

Can you offer guidance or do you also need help?

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