The boundary element method for stochastic potential problems
type: Item
instance of: scholarly article
title: The boundary element method for stochastic potential problems
zbMATH Open document ID: 0586.60051
DOI: 10.1016/0307-904X(85)90006-X
author: B. George
published in: Applied Mathematical Modelling
publication date: 1985-01-01T00:00:00Z
review text: Stochastic Dirichlet and Neumann boundary value problems and stochastic mixed problems have been formulated. As a result the stochastic singular integral equations have been obtained. A way of solving these equations by means of discretization of a boundary using stochastic boundary elements has been presented, resulting in a set of random algebraic equations. It has been proved that for Dirichlet and Neumann problems probabilistic characteristics (i.e. moments, expected value and correlation function) fulfilled deterministic singular integral equations. A numerical method of evaluation of moments on a boundary and inside a domain has been presented.
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 65C20
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 3940336
zbMATH Keywords: Stochastic Dirichlet and Neumann boundary value problems
zbMATH Keywords: numerical method of evaluation of moments
MaRDI profile type: Publication
cites work: Q3049321
cites work: Q3888653
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cites work: Random integral equations
cites work: Random differential equations in science and engineering
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description: scientific article; zbMATH DE number 3940336