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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Vydáno v:Doklady. a journal of the Russian Academy of Sciences. Physics Ročník 65; číslo 12; s. 431 - 435
Hlavní autoři: Babeshko, V. A., Evdokimova, O. V., Babeshko, O. M., Evdokimov, V. S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.12.2020
Springer Nature B.V
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1028-3358
1562-6903
DOI:10.1134/S1028335820120022