On the discretization of topological spaces of block elements with different boundary conditions for cracks of a new type
UDC
539.3DOI:
https://doi.org/10.31429/vestnik-18-4-14-22Abstract
Block elements of boundary value problems for partial differential equations have a significant set of different properties that are in the process of being studied. Often certain of their properties are revealed by the example of boundary value problems of the same type. Then new properties are revealed, but for a different type of boundary value problems. Naturally, questions arise as to whether these properties belong to both types of boundary value problems, or the exclusion of such a possibility. In this paper, we analyze similar properties related to the discreteness of the topological structure of block elements of boundary problems for different types of boundary conditions, independence from the dimension of the areas of consideration. The issues under consideration are important for modeling cracks of a new type.
Keywords:
boundary value problems, block element method, packed block elements, discrete topological spaces, Helmholtz equationAcknowledgement
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Copyright (c) 2022 Babeshko V.A., Kirillova E.V., Babeshko O.M., Evdokimova O.V., Khripkov D.A., Evdokimov V.S., Zaretsky A.G.
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