Exterior Dirichlet and Neumann Problems in Domains with Random Boundaries

被引：0

作者：

Duong Thanh Pham

Thanh Tran

Dũng Dinh

Alexey Chernov

机构：

[1] Institute for Computational Science and Technology,School of Mathematics and Statistics

[2] Vietnamese German University,Information Technology Institute

[3] The University of New South Wales,Institute for Mathematics

[4] Vietnam National University,undefined

[5] Hanoi,undefined

[6] Carl von Ossietzky University,undefined

来源：

Bulletin of the Malaysian Mathematical Sciences Society | 2020年 / 43卷

关键词：

Dirichlet and Neumann problems; Random surfaces; Statistical moments; Shape derivative; 65N30; 65N38; 65N15; 65N50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1311 / 1342

页数：31

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