Solid-angle factor in the magnetic-field integral equation

Performance of the Generalized Minimum Residual (GMRES) Iterative Solution for the Magnetic Field Integral Equation

[1] The paper discusses a generalized minimum residual (GMRES) iterative solution of the magnetic field integral equation (MFIE) applied to frequency domain scattering problems at medium and high frequencies. First, the performance of the original MFIE is studied, for the perfectly electrically conducting (PEC) sphere. It is shown that the residual error and the solution error do not correlate ...

Ising fluids in an external magnetic field: an integral equation approach.

The phase behavior of Ising spin fluids is studied in the presence of an external magnetic field with the integral equation method. The calculations are performed on the basis of a soft mean spherical approximation using an efficient algorithm for solving the coupled set of the Ornstein-Zernike equations, the closure relations, and the external field constraint. The phase diagrams are obtained ...

Magnetic Field Integral Equation for Electromagnetic Scattering by Conducting Bodies of Revolution in Layered Media

The reduced basis method for the electric field integral equation

We introduce the Reduced Basis Method (RBM) as an efficient tool for parametrized scattering problems in computational electromagnetics for problems where field solutions are computed using a standard Boundary Element Method (BEM) for the parametrized Electric Field Integral Equation (EFIE). This combination enables an algorithmic cooperation which results in a two step procedure. The first ste...

Dirac equation in magnetic-solenoid field

We consider the Dirac equation in the magnetic-solenoid field (the field of a solenoid and a collinear uniform magnetic field). For the case of Aharonov-Bohm solenoid, we construct self-adjoint extensions of the Dirac Hamiltonian using von Neumann’s theory of deficiency indices. We find self-adjoint extensions of the Dirac Hamiltonian and boundary conditions at the AB solenoid. Besides, for the...