Problem of Studying the Acoustic and Hydrodynamic Properties of the Medium Occupying a Region Shaped as a Three-Dimensional Rectangular Wedge
V. A. Babeshko1, O. V. Evdokimova1, O. M. Babeshko2
1Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, 344006, Russia
2Kuban State University, Krasnodar, 350040, Russia
Keywords: метод блочного элемента, граничная задача, автоморфизм, псевдодифференциальные уравнения, клиновидная область, block element method, boundary-value problem, automorphism, pseudo-differential equations, wedge-shaped region
Abstract
A boundary-value problem for a three-dimensional Helmholtz equation in a region shaped as a rectangular wedge of infinite extent is under consideration. An exact solution to this boundary-value problem is constructed in the form of a packed block element necessary for investigating more complex and even mixed problems for block structures. The conjugation of packed blocks into a block structure is carried out by constructing quotient topologies of the topological spaces of blocks, and the equivalence relations are interblock boundary conditions.
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