Abstract

FRIEDRICH-LOEFFLER, Carlos; CESTARI-COUTINHO, Filipe  and  CASTRO-LARA, Luciano de Oliveira. Resolver problemas potenciales en dos dimensiones en medios semi-infinitos usando el Método de Elemento de Límite. Ingeniería Mecánica [online]. 2022, vol.25, n.3, pp. 40-48.  Epub Dec 20, 2022. ISSN 1815-5944.

Adequate knowledge of physical phenomena has been shown to be essential for the development of new technologies. Such knowledge allows several engineering problems to be studied and solutions to be found. More and more complex problems have been studied and solved, especially in recent centuries. Infinite and semi-infinite spaces presented great discretization difficulty due to the scarcity of resources for this. With the emergence of numerical methods, these problems had their closest possible solution to being found. The present work presents the formulation and mathematical principles that comprise the Boundary Element Method model to approach two-dimensional problems with infinite and semi-infinite domains. The particulars regarding the definition of the relevant variables, the characteristics of the fundamental solutions in these cases, and the behavior of primal variables at infinitely distant points are discussed. Aspects related to the discretization and numerical issues are also addressed by solving two particular semi-plane problems. The numerical results obtained showed satisfactory accuracy, confirming that the Boundary Element Method is the most adequate technique even today to solve such problems.

Keywords : Boundary Element Method; semi-Infinite domains; Method of Images.

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