A class of random variational inequalities and simple random unilateral boundary value problems - Existence, discretization, finite element approximation

被引:22
作者
Gwinner, J [1 ]
机构
[1] Univ Bundeswehr Munchen, Fak Luft & Raumfahrttech, Inst Math, Munich, Germany
关键词
D O I
10.1080/07362990008809706
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper deals with a, class of random variational inequalities and simple random Elliptic boundary value problems with unilateral conditions. Here randomness enters in the coefficient of the elliptic operator and in the right hand side of the p.d.e. In addition to existence and uniqueness results a theory of combined probabilistic deterministic discretization is developped that includes nonconforming approximation of unilateral constraints. without ally regularity assumptions on the solution, norm convergence of the full al,proximation process is established. The theory is applied to a Helmholtz like elliptic equation with Signorini boundary conditions as a simple model problem, where Galerkin discretization is realized by finite clement approximation.
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页码:967 / 993
页数:27
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