A class of random variational inequalities and simple random unilateral boundary value problems - existence, discretization, finite element approximation
作者:
Joachim Gwinner,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 2000)
卷期:
Volume 18,
issue 6
页码: 967-993
ISSN:0736-2994
年代: 2000
DOI:10.1080/07362990008809706
出版商: Marcel Dekker, Inc.
数据来源: Taylor
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 approxima¬tion of unilateral constraints. Without any regularity assumptions on the solution, norm convergence of the full approximation 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 element approximation
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