Hi everybody,
I wonder, is it possible to apply bempp to solve Maxwell equation in alternative formulation I found in article “Overcoming Low-Frequency Breakdown of the Magnetic Field Integral Equation” https://doi.org/10.1109/TAP.2012.2230232
The idea is to calculate current J on surface \Gamma from the tangential boundary condition on the magnetic field
J - n \times H = n \times H^{inc}
which is second kind Fredholm equation and free of “low-frequency breakdown”. Here n is external normal vector, H^{inc} is incident magnetic field, H is unknown magnetic field, induces by current J,
H(x) = \nabla \times \int_\Gamma g_k(x-y) J(y) dA_y
g_k is Green function for scalar Helmholtz equation.
The magnetic field integral equation to solve is
\frac{1}{2} J(x) - n(x) \times \nabla \times \int_\Gamma g_k(x - y) J(y) dA_y = n(x) \times H^{inc}(x) \quad (x \in \Gamma)
It it possible to apply n \times operator to magnetic field operator befor summation with identity operator?
Hope for you support.