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


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

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Published : 2021-12-20


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

Tomasz Rymarczyk 
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