The Block-Element Method in Expansion of the Solutions of Complex Boundary-Value Problems in Mechanics

An exact solution in the first quadrant of a plane boundary-value problem of the second kind for the dynamic Lamé elasticity equations is constructed, probably for the first time, and is expanded in terms of solutions of boundary-value problems for the Helmholtz equation. These solutions are present...

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Bibliographic Details
Published in:Doklady. a journal of the Russian Academy of Sciences. Physics Vol. 65; no. 12; pp. 431 - 435
Main Authors: Babeshko, V. A., Evdokimova, O. V., Babeshko, O. M., Evdokimov, V. S.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01.12.2020
Springer Nature B.V
Subjects:
Boundary value problems
Classical Mechanics
Exact solutions
Helmholtz equations
Mathematical analysis
Mathematical and Computational Physics
Mechanics
Physics
Physics and Astronomy
Theoretical
block-element method
Helmholtz equations
packed block elements
boundary-value problems
Lamé equations
ISSN:1028-3358, 1562-6903
Online Access:Get full text
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Summary:An exact solution in the first quadrant of a plane boundary-value problem of the second kind for the dynamic Lamé elasticity equations is constructed, probably for the first time, and is expanded in terms of solutions of boundary-value problems for the Helmholtz equation. These solutions are presented in the form of packed block elements.
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ISSN:1028-3358
1562-6903
DOI:10.1134/S1028335820120022