How to use bempp if the surface has dielectric and perfect conducted parts

Applications
1

Hello everyone!
I saw the example when bem++ is used for two dielectric spheres. But if I have the perfectly conducted sphere and it has a layer of dielectric, how to solve this in bem++? Could you please help and provide the example?

2

Hi, you can define different boundary parts in your spaces and your grid functions. The Laplace mixed-Neumann Dirichlet Notebook has examples for how to do this. This will allow you to define problems, where the boundary condition changes across the boundary.

3

Hello.
The Laplace mixed-Neumann Dirichlet Notebook assumes boundary conditions of the two kinds:

  1. def dirichlet_data(x, n, domain_index, res):
  2. def neumann_data(x, n, domain_index, res):

Meanwhile a Neumann boundary condition on the boundary between two dielectrics is quite different: \epsilon_1 E_1 = \epsilon_2 E_2