SCALAR BOUNDARY VALUE PROBLEMS ON JUNCTIONS OF THIN RODS AND PLATES

R. Bunoiu, G. Cardone, S. A. Nazarov

Результат исследований: Научные публикации в периодических изданияхстатья

9 Цитирования (Scopus)

Выдержка

We derive asymptotic formulas for the solutions of the mixed boundary value problem for the Poisson equation on the union of a thin cylindrical plate and several thin cylindrical rods. One of the ends of each rod is set into a hole in the plate and the other one is supplied with the Dirichlet condition. The Neumann conditions are imposed on the whole remaining part of the boundary. Elements of the junction are assumed to have contrasting properties so that the small parameter, i.e. the relative thickness, appears in the differential equation, too, while the asymptotic structures crucially depend on the contrastness ratio. Asymptotic error estimates are derived in anisotropic weighted Sobolev norms.
Язык оригиналаанглийский
Страницы (с-по)1495-1528
Число страниц34
ЖурналMathematical Modelling and Numerical Analysis
Том48
Номер выпуска5
DOI
СостояниеОпубликовано - 2014

Отпечаток

Poisson equation
Boundary value problems
Differential equations
Boundary Value Problem
Scalar
Neumann Condition
Mixed Boundary Value Problem
Dirichlet conditions
Asymptotic Estimates
Poisson's equation
Asymptotic Formula
Small Parameter
Error Estimates
Union
Differential equation
Norm

Цитировать

Bunoiu, R. ; Cardone, G. ; Nazarov, S. A. / SCALAR BOUNDARY VALUE PROBLEMS ON JUNCTIONS OF THIN RODS AND PLATES. В: Mathematical Modelling and Numerical Analysis. 2014 ; Том 48, № 5. стр. 1495-1528.
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abstract = "We derive asymptotic formulas for the solutions of the mixed boundary value problem for the Poisson equation on the union of a thin cylindrical plate and several thin cylindrical rods. One of the ends of each rod is set into a hole in the plate and the other one is supplied with the Dirichlet condition. The Neumann conditions are imposed on the whole remaining part of the boundary. Elements of the junction are assumed to have contrasting properties so that the small parameter, i.e. the relative thickness, appears in the differential equation, too, while the asymptotic structures crucially depend on the contrastness ratio. Asymptotic error estimates are derived in anisotropic weighted Sobolev norms.",
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SCALAR BOUNDARY VALUE PROBLEMS ON JUNCTIONS OF THIN RODS AND PLATES. / Bunoiu, R.; Cardone, G.; Nazarov, S. A.

В: Mathematical Modelling and Numerical Analysis, Том 48, № 5, 2014, стр. 1495-1528.

Результат исследований: Научные публикации в периодических изданияхстатья

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DO - 10.1051/m2an/2014007

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