Galerkin Method and Parallel Algorithm for Solving the Problem of EM-Wave Propagation in a Locally Inhomogeneous Medium with a Graphene Layer at the Boundary of the Inhomogeneity Domain.

Propagation of electromagnetic wave in locally inhomogeneous medium with an infinitely thin graphene layer is studied. New hybrid integro-differential equation is considered; for its numerical solving Galerkin method with compactly supported basis functions is applied. Parallel algorithm using MPI routines is implemented to obtain approximate solutions of the problem according to the Galerkin method. Several results of numerical tests showing convergence of the method are presented. [ABSTRACT FROM AUTHOR]