Article 639

Title of the article

SUBHIERARCHICAL METHOD FOR PREUDODIFFERENTIAL EQUATION SOLUTION IN A DIFFRACTION PROBLEM IN THE LAYERS CONNECTED THROUGH AN OPENING

Authors

Medvedik Mikhail Yuryevich, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, _medv@mail.ru
Rodionova Irina Anatolyevna, Candidate of physico-mathematical sciences, associate professor, sub-department of mathematics and supercomputer modeling, Penza State University, mmm@pnzgu.ru

Index UDK

517.6

Abstract

The paper is devoted to the solvability of boundary value problem of diffraction for Maxwell equations in layers connected though a hole. The layers are formed by three infinitely thin and perfectly conducting parallel planes. Electromagnetic parameters can be different in the layers. Radiation conditions by Werner – Sveshnikov are used at the infinity. Method of Green functions is applied for reduction of boundary value problem to the pseudodifferential equation on a hole in Sobolev spaces. The problem belongs to the class of problems of connection of volumes via a hole. The numerical results are obtained by subhierarchal approach.

Key words

boundary value problem, electromagnetic scattering, integral equations, numerical method, subhierarchal parallel method.

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Дата создания: 11.07.2014 09:58
Дата обновления: 11.07.2014 11:18