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INVESTIGATION OF THE THREE-DIMENSIONAL HELMHOLTZ EQUATION FOR A WEDGE USING THE BLOCK ELEMENT METHOD

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

For boundary-value problems for the Helmholtz equation in wedge-shaped domains, it has been shown that packed block elements corresponding to the same boundary-value problem can be combined taking into account the type of boundary conditions also to form a packed block element. This result has been verified using another method. It has been shown that in the presence of corner points in the domain in which the boundary-value problem is considered, there are no additional difficulties in combining block elements. It has been found that since the solutions of some boundary-value problems in continuum mechanics and physics can be represented as a combination of solutions of boundary-value problems for the Helmholtz equation, this approach can be used to study more complex boundary-value problems and design materials with a mosaic structure.

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Authors and Affiliations

  1. Southern Scientific Center, Russian Academy of Sciences, 344006, Rostov-on-Don, Russia

    V. A. Babeshko & O. V. Evdokimova

  2. Kuban State University, Krasnodar, 350040, 350040, Krasnodar, Russia

    V. A. Babeshko & O. M. Babeshko

Authors
  1. V. A. Babeshko
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  2. O. V. Evdokimova
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  3. O. M. Babeshko
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Correspondence to V. A. Babeshko.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 5, pp. 15-21. https://doi.org/10.15372/PMTF20210502.

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Babeshko, V.A., Evdokimova, O.V. & Babeshko, O.M. INVESTIGATION OF THE THREE-DIMENSIONAL HELMHOLTZ EQUATION FOR A WEDGE USING THE BLOCK ELEMENT METHOD. J Appl Mech Tech Phy 62, 717–722 (2021). https://doi.org/10.1134/S0021894421050023

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