Method of Integral Equations for Solving 3D Electromagnetic Diffraction Problems in a Perturbed Layer Using Parallel Computations

摘要

We consider a Dirichlet boundary value problem for the Helmholtz equation in a three-dimensional layer with a local perturbation S of the boundary and apply the solution technique based on equivalent reduction to a boundary integral equation (IE). We prove the unique solvability of the IE and its Fredholm property, the convergence of the Galerkin method applied for its numerical solution, and describe parallel algorithms and computational techniques developed speciˉcally when S is a set of many disjoint irregularities.