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

Standard

Derivation of limiting equations for elliptic problems in thin domains using computers. / Leora, S. N.; Nazarov, S. A.; Proskura, A. V.

In: USSR Computational Mathematics and Mathematical Physics, Vol. 26, No. 4, 01.01.1986, p. 47-58.

Research output: Contribution to journal › Article › peer-review

Author

Leora, S. N. ; Nazarov, S. A. ; Proskura, A. V. / Derivation of limiting equations for elliptic problems in thin domains using computers. In: USSR Computational Mathematics and Mathematical Physics. 1986 ; Vol. 26, No. 4. pp. 47-58.

BibTeX

@article{b1de21d4ebe9462996146f9af9710234,

title = "Derivation of limiting equations for elliptic problems in thin domains using computers",

abstract = "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.",

author = "Leora, {S. N.} and Nazarov, {S. A.} and Proskura, {A. V.}",

year = "1986",

month = jan,

day = "1",

doi = "10.1016/0041-5553(86)90074-1",

language = "English",

volume = "26",

pages = "47--58",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "4",

}

RIS

TY - JOUR

T1 - Derivation of limiting equations for elliptic problems in thin domains using computers

AU - Leora, S. N.

AU - Nazarov, S. A.

AU - Proskura, A. V.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=46149141457&partnerID=8YFLogxK

U2 - 10.1016/0041-5553(86)90074-1

DO - 10.1016/0041-5553(86)90074-1

M3 - Article

AN - SCOPUS:46149141457

VL - 26

SP - 47

EP - 58

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 4

ER -

ID: 36981376