Derivation of limiting equations for elliptic problems in thin domains using computers

S. N. Leora, S. A. Nazarov, A. V. Proskura

Результат исследований: Научные публикации в периодических изданияхстатья

4 Цитирования (Scopus)

Аннотация

An elliptic set of second-order equations in a cylinder of small height h is considered. Dirichlet conditions are specified on the lateral surface of the cylinder, and natural boundary conditions are specified at the ends. An algorithm for constructing a limiting problem in a section of the cylinder whose solution is an asymptotic approximation (as h → 0) to the solution of the initial problem is presented. In the case when the problem in the section is elliptic without a parameter, estimates of the rate of convergence are obtained. A program is compiled which, making the necessary calculations, constructs equations of the limiting problem.

Язык оригиналаанглийский
Страницы (с-по)47-58
Число страниц12
ЖурналUSSR Computational Mathematics and Mathematical Physics
Том26
Номер выпуска4
DOI
СостояниеОпубликовано - 1 янв 1986

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Предметные области Scopus

  • Технология (все)

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