RUS  ENG
Full version
JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2009 Issue 2, Pages 14–24 (Mi ivpnz681)

This article is cited in 1 paper

Mathematics

Application of supercomputer computing environments for solving the volumetric singular integral equation of the diffraction problem on a dielectric body

D. A. Mironov

Penza State University, Penza

Abstract: In this paper the problem of diffraction of external electromagnetic field on locally heterogeneous body placed in free space is considered. The formulated problem is reduced to three-dimensional singular integral equation. The problem is solved using Galerkin numerical method and at the same time using the collocation numerical method. Because of high capacity the task solving was realized by Galerkin numerical method at various parameters with use of two types of software for supercomputing complexes: realization of MPI and realization of program system x-com. The features of performance of a task on a supercomputer complex are investigated.

Keywords: diffraction of external electromagnetic field, three-dimensional singular integral equation, Galerkin method, collocation method.

UDC: 519.642



© Steklov Math. Inst. of RAS, 2024