Boundary integral numerical methods are among the most accurate for interfacial Stokes flow, and widely applied. They have advantage that only boundary of domain must be discretized, which reduces number discretization points allows treatment complicated interfaces. Despite their popularity, there is no analysis convergence these flow. In practice, stability discretizations formulation can depe...

We first review the basic existence results for exterior boundary value problems for the Helmholtz equation via boundary integral equations. Then we describe the numerical solution of these integral equations in two dimensions for a smooth boundary curve using trigonometric polynomials on an equidistant mesh. We provide a comparison of the NystrGm method, the collocation method and the Gale&in ...

analysis of aperture-coupled microstrip antennas with a superstrate using space domain closed form greens functions is presented. integral equations are derived from applying the boundary conditions on the radiating patch, across the aperture, and on the microstrip feedline. the computation of space domain greens functions is performed using the closed-form. the solution of the integral equatio...