CAŁKI OSOBLIWE W METODZIE ELEMENTÓW BRZEGOWYCH DLA RÓWNANIA HELMHOLTZA SFORMUŁOWANEGO W PRZESTRZENI CZĘSTOTLIWOŚCI

Tomasz Rymarczyk; Jan Sikora

doi:10.35784/iapgos.2836

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Published: Dec 20, 2021

DOI: https://doi.org/10.35784/iapgos.2836

Issue Vol. 11 No. 4 (2021)

Articles

SINGULAR INTEGRATION IN BOUNDARY ELEMENT METHOD FOR HELMHOLTZ EQUATION FORMULATED IN FREQUENCY DOMAIN
Tomasz Rymarczyk, Jan Sikora

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DOI

https://doi.org/10.35784/iapgos.2836

Authors

Tomasz Rymarczyk

tomasz@rymarczyk.com

1Research & Development Centre Netrix S.A., Lublin, Poland, 2University of Economics and Innovation in Lublin, Faculty of Transport and Informatics, Lublin, Poland, Poland

http://orcid.org/0000-0002-3524-9151

Jan Sikora

sik59@wp.pl

1Research & Development Centre Netrix S.A., Lublin, Poland, 2University of Economics and Innovation in Lublin, Faculty of Transport and Informatics, Lublin, Poland, Poland

http://orcid.org/0000-0002-9492-5818

Abstract

Two ways of approximation of the BEM kernel singularity are presented in this paper. Based on these approximations extensive error analysis was carried on. As a criterion the preciseness and simplicity of approximation were selected. Simplicity because such approach would be applied for the tomography problems, so time of execution plays particularly significant role. One of the approximations which could be applied for the wide range of the arguments of the kernel were selected.

Keywords:

partial differential equations, numerical analysis, function approximation, integral equations

References

Abramowitz M., Stegun I. A.: Handbook of mathematical functions with formulas, graphs, and mathematical tables. John Wiley, New York 1973.

Arridge S. R.: Optical tomography in medical imaging. Inverse Problems 15(2), 1999, R41–R93. DOI: https://doi.org/10.1088/0266-5611/15/2/022

Becker A. A.: The boundary Element Method in Engineering. A complete course. McGraw-Hill Book Company, 1992.

Harrison J.: Fast and Accurate Bessel Function Computation. [https://www.cl.cam.ac.uk/~jrh13/papers/bessel.pdf] (last access 20.07.2021).

Jackson J. D.: Classical Electrodynamics (3rd ed.). Wiley, New York 1999. DOI: https://doi.org/10.1119/1.19136

Jabłoński P.: Metoda Elementów Brzegowych w analizie pola elektroma-gnetycznego. Częstochowa University of Technology, Częstochowa 2003. DOI: https://doi.org/10.1093/gao/9781884446054.article.T021071

Kirkup S.: The Boundary Element Method in Acoustics: A Survey. Applied Sciences 9(8), 1642 [http://doi.org/10.3390/app9081642]. DOI: https://doi.org/10.3390/app9081642

Krawczyk A.: Fundamentals of mathematical electromagnetism. Instytut Naukowo-Badawczy ZTUREK, Warszawa 2001.

de Munck J. C., Faes T. J. C., Heethaar R. M.: The boundary element method in the forward and inverse problem of electrical impedance tomography. IEEE Trans Biomed Eng. 47(6), 2000, 792–800 [http://doi.org/10.1109/10.844230]. DOI: https://doi.org/10.1109/10.844230

Rymarczyk T.: Tomographic Imaging in Environmental, Industrial and Medical Applications. Innovatio Press Publishing Hause, Lublin 2019.

Sikora J.: Boundary Element Method for Impedance and Optical Tomography. Warsaw University of Technology Publishing Hause, Warsaw 2007.

https://mathworld.wolfram.com/Euler-MascheroniConstant.html (last access 10.07.2021).

Rymarczyk, T., & Sikora, J. (2021). SINGULAR INTEGRATION IN BOUNDARY ELEMENT METHOD FOR HELMHOLTZ EQUATION FORMULATED IN FREQUENCY DOMAIN. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 11(4), 4–8. https://doi.org/10.35784/iapgos.2836

SINGULAR INTEGRATION IN BOUNDARY ELEMENT METHOD FOR HELMHOLTZ EQUATION FORMULATED IN FREQUENCY DOMAIN

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