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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Two methods of mathematical modeling in diffraction theory
by
Igor V. Petrusenko
Electronics Engineering Department, Gebze Technology Institute, Turkey
Coauthors: V.P. Chumachenko (Electronics Engineering Department, Gebze, Technology Institute, Turkey), S. Eker (Electronics Engineering Department, Gebze, Technology Institute, Turkey)

Practically important diffraction problems require construction of correct mathematical models for the purposes of multiparameter analysis and optimization in computer-aided engineering. They must be as efficient as possible from the standpoint of accuracy and stability of numerical calculations. With this aim in view two universal numerical-analytical methods for solving of boundary value problems in complex geometry domain were developed and substantiated. According to method of partial overlapping regions the system of interconnected integral equations is constructed on the basis of second Green's formula. The idea of domain product method consists in certain covering of a boundary by convex compacts. It allows to present the whole domain of field determination as a common part of simple regions, which are external to compacts. For both methods, the final matrix equations of the second kind were obtained after Galerkin's process. The applications of the methods to efficient modeling in diffraction theory are discussed to illustrate their basic advantages.

Date received: March 20, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-91.