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Asymptotic analysis of a boundary-value ...

Klevtsovskiy, A. V....

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Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint by Klevtsovskiy, A. V. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	31-03-2015
Summary	A nonuniform Neumann boundary-value problem is considered for the Poisson equation in a thin domain Ωε coinciding with two thin rectangles connected through a joint of diameter O(ε). A rigorous procedure is developed to construct the complete asymptotic expansion for the solution as the small parameter ε→0. Energetic and uniform pointwise estimates for the difference between the solution of the starting problem (ε>0) and the solution of the corresponding limit problem (ε=0) are proved, from which the influence of the geometric irregularity of the joint is observed.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1503.09117

Citation

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AMA 11th EditionReferences

Klevtsovskiy, A. V.. Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint. N.A. March 31, 2015. Accessed October 03, 2025. https://online.provdatabase.com/cite/18472

APA 7th EditionReferences

Klevtsovskiy, A. V.. (2015). Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint. N.A. https://online.provdatabase.com/cite/18472

Chicago 17th EditionReferences

Klevtsovskiy, A. V.. Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint. N.A. 2015. https://online.provdatabase.com/cite/18472

HarvardReferences

Klevtsovskiy, A. V.. (2015). Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18472. (Accessed 03 October 2025).

Harvard AustraliaReferences

Klevtsovskiy, A. V., 2015, Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint, N.A, viewed 03 October 2025, <https://online.provdatabase.com/cite/18472>

MLA 9th EditionWorks Cited

Klevtsovskiy, A. V.. Asymptotic analysis of a boundary-value problem in a thin cascade domain with a local joint. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18472.

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