High-performance Parallel Solver for Integral Equations of Electromagnetics Based on Galerkin Method

摘要

A new parallel solver for the volumetric integral equations (IE) ofelectrodynamics is presented. The solver is based on the Galerkin method whichensures the convergent numerical solution. The main features include: (i) thememory usage is 8 times lower, compared to analogous IE based algorithms,without additional restriction on the background media; (ii) accurate andstable method to compute matrix coefficients corresponding to the IE; (iii)high degree of parallelism. The solver's computational efficiency is shown on aproblem of magnetotelluric sounding of the high conductivity contrast media. Agood agreement with the results obtained with the second order finite elementmethod is demonstrated. Due to effective approach to parallelization anddistributed data storage the program exhibits perfect scalability on differenthardware platforms.