Numerical solution of diffraction problems using large matrix compression

G. V. Ryzhakov; A. Yu Mikhalev; D. A. Sushnikova; I. V. Oseledets

Numerical solution of diffraction problems using large matrix compression

G. V. Ryzhakov, A. Yu Mikhalev, D. A. Sushnikova, I. V. Oseledets

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

We present an application of H²-matrix compression to the problem of diffraction of electromagnetic wave on ideal-conductive bodies in the 3D case. Numerical examples are given. In the case, when the body is electrically large, a fine grid on the body is needed to approximate the unknown function with good accuracy. Thus, the matrix dimension of the corresponding system of linear equations is large (about 10⁵ and more) and the system cannot be solved directly due to the lack of memory.

Original language	English (US)
Title of host publication	2015 9th European Conference on Antennas and Propagation, EuCAP 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9788890701856
State	Published - Aug 27 2015
Event	9th European Conference on Antennas and Propagation, EuCAP 2015 - Lisbon, Portugal Duration: May 13 2015 → May 17 2015

Publication series

Name	2015 9th European Conference on Antennas and Propagation, EuCAP 2015

Conference

Conference	9th European Conference on Antennas and Propagation, EuCAP 2015
Country/Territory	Portugal
City	Lisbon
Period	05/13/15 → 05/17/15

Bibliographical note

Publisher Copyright:
© 2015 EurAAP.

Keywords

3D diffraction
H-matrices
hypersingular integral equation
ideal-conductive bodies

ASJC Scopus subject areas

Instrumentation
Radiation
Computer Networks and Communications

Cite this

Ryzhakov, G. V., Mikhalev, A. Y., Sushnikova, D. A., & Oseledets, I. V. (2015). Numerical solution of diffraction problems using large matrix compression. In 2015 9th European Conference on Antennas and Propagation, EuCAP 2015 Article 7228667 (2015 9th European Conference on Antennas and Propagation, EuCAP 2015). Institute of Electrical and Electronics Engineers Inc..

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title = "Numerical solution of diffraction problems using large matrix compression",

abstract = "We present an application of H2-matrix compression to the problem of diffraction of electromagnetic wave on ideal-conductive bodies in the 3D case. Numerical examples are given. In the case, when the body is electrically large, a fine grid on the body is needed to approximate the unknown function with good accuracy. Thus, the matrix dimension of the corresponding system of linear equations is large (about 105 and more) and the system cannot be solved directly due to the lack of memory.",

keywords = "3D diffraction, H-matrices, hypersingular integral equation, ideal-conductive bodies",

author = "Ryzhakov, {G. V.} and Mikhalev, {A. Yu} and Sushnikova, {D. A.} and Oseledets, {I. V.}",

note = "Publisher Copyright: {\textcopyright} 2015 EurAAP.; 9th European Conference on Antennas and Propagation, EuCAP 2015 ; Conference date: 13-05-2015 Through 17-05-2015",

year = "2015",

month = aug,

day = "27",

language = "English (US)",

series = "2015 9th European Conference on Antennas and Propagation, EuCAP 2015",

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booktitle = "2015 9th European Conference on Antennas and Propagation, EuCAP 2015",

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}

Ryzhakov, GV, Mikhalev, AY, Sushnikova, DA & Oseledets, IV 2015, Numerical solution of diffraction problems using large matrix compression. in 2015 9th European Conference on Antennas and Propagation, EuCAP 2015., 7228667, 2015 9th European Conference on Antennas and Propagation, EuCAP 2015, Institute of Electrical and Electronics Engineers Inc., 9th European Conference on Antennas and Propagation, EuCAP 2015, Lisbon, Portugal, 05/13/15.

Numerical solution of diffraction problems using large matrix compression. / Ryzhakov, G. V.; Mikhalev, A. Yu; Sushnikova, D. A. et al.
2015 9th European Conference on Antennas and Propagation, EuCAP 2015. Institute of Electrical and Electronics Engineers Inc., 2015. 7228667 (2015 9th European Conference on Antennas and Propagation, EuCAP 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Numerical solution of diffraction problems using large matrix compression

AU - Ryzhakov, G. V.

AU - Mikhalev, A. Yu

AU - Sushnikova, D. A.

AU - Oseledets, I. V.

PY - 2015/8/27

Y1 - 2015/8/27

N2 - We present an application of H2-matrix compression to the problem of diffraction of electromagnetic wave on ideal-conductive bodies in the 3D case. Numerical examples are given. In the case, when the body is electrically large, a fine grid on the body is needed to approximate the unknown function with good accuracy. Thus, the matrix dimension of the corresponding system of linear equations is large (about 105 and more) and the system cannot be solved directly due to the lack of memory.

AB - We present an application of H2-matrix compression to the problem of diffraction of electromagnetic wave on ideal-conductive bodies in the 3D case. Numerical examples are given. In the case, when the body is electrically large, a fine grid on the body is needed to approximate the unknown function with good accuracy. Thus, the matrix dimension of the corresponding system of linear equations is large (about 105 and more) and the system cannot be solved directly due to the lack of memory.

KW - 3D diffraction

KW - H-matrices

KW - hypersingular integral equation

KW - ideal-conductive bodies

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M3 - Conference contribution

AN - SCOPUS:84949658800

T3 - 2015 9th European Conference on Antennas and Propagation, EuCAP 2015

BT - 2015 9th European Conference on Antennas and Propagation, EuCAP 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 9th European Conference on Antennas and Propagation, EuCAP 2015

Y2 - 13 May 2015 through 17 May 2015

ER -

Numerical solution of diffraction problems using large matrix compression

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this