The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems*
作者:
Gabriel N. Gatica,
George C. Hsiao,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1992)
卷期:
Volume 13,
issue 5-6
页码: 431-447
ISSN:0163-0563
年代: 1992
DOI:10.1080/01630569208816490
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
In this paper, we apply the coupling of the boundary integral and finite element methods to study the weak solvability of certain nonmonotone nonlinear exterior boundary value problems. In order to convert the original exterior problem into an equivalent nonlocal boundary value problem on a finite region, we employ two different approaches based on the use of one and two integral equations on the coupling boundary. Existence of a solution for the associated weak formulation, and convergence properties of the corresponding Galerkin approximations are deduced from fundamental results in nonlinear functional analysis. Indeed, the main arguments of our proofs are based on a surjectivity theorem for mappings of type (S) and on the Fredholm alternative for nonlinear A-proper mappings.
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