SOME MORE ON LOGARITHMIC SINGULARITY INTEGRATION IN BOUNDARY ELEMENT METOD

Autor:	Tomasz Rymarczyk, Jan Sikora
Jazyk:	English<br />Polish
Rok vydání:	2024
Předmět:	singular integral calculating ignoring singularity method singularity subtraction technique acoustic wave propagation Boundary Element Method (BEM) Environmental engineering TA170-171 Environmental sciences GE1-350
Zdroj:	Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, Vol 14, Iss 1 (2024)
Druh dokumentu:	article
ISSN:	2083-0157 2391-6761
DOI:	10.35784/iapgos.5864
Popis:	The accuracy of calculations of integrals with logarithmic singularities for two methods, namely the method of ignoring singularities and the method of subtraction (consisting in separating the singular part from the remaining non-singular), are presented in this paper. Only two-dimensional problems, like Dirichlet's problems, as well as acoustic problems formulated in the frequency domain are considered. Problems related to the accuracy of calculations are discussed and the influence of frequency, as well as the influence of the geometry of the analysed area on the accuracy of calculations, are indicated. When we talk about the influence of geometry, we mean not only discretization, but also the configuration of the area, such as the sharp edges of the boundary line, assuming the use of the classic, without any modifications, Boundary Element Method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/afa5f417846f4cd1a86dc05b5e63aaf3 Zobrazit plný text záznamu View record in DOAJ