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VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/42
Title: Exterior dirichlet and neumann problems in domains with random boundaries
Authors: Pham Thanh Duong 
Thanh Tran 
Dung Dinh 
Alexey Chernov 
Keywords: Dirichlet and Neumann problems;Random surfaces;Statistical moments;Shape derivative
Issue Date: 2019
Publisher: Springer Link
Journal/Book titles: Bulletin of the Malaysian Mathematical Sciences Society 
Series/Report no.: Vol.43;1311–1342
Abstract: 
An approximation of statistical moments of solutions to exterior Dirichlet and Neumann problems with random boundary surfaces is investigated. A rigorous shape calculus approach has been used to approximate these statistical moments by those of the corresponding shape derivatives, which are computed by boundary integral equation methods. Examples illustrate our theoretical results.
Index & Ranking: ISI(SCIE) Q2
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/42
DOI: 10.1007/s40840-019-00741-9
Appears in Collections:ARTICLE/BOOK PUBLICATION

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