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Finite element schemes for non-linear problems in infinite domains

โœ Scribed by Dan Givoli; Igor Patlashenko

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
149 KB
Volume
42
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

A class of non-linear elliptic problems in inรฟnite domains is considered, with non-linearities extending to inรฟnity. Examples include steady-state heat radiation from an inรฟnite plate, and the de ection of an inรฟnite membrane on a non-linear elastic foundation. Also, this class of problems may serve as a starting point for treating non-linear wave problems. The Dirichlet-to-Neumann (DtN) Finite Element Method, which was originally developed for linear problems in inรฟnite domains, is extended here to solve these non-linear problems. Several DtN schemes are proposed, with a trade-o between accuracy and computational e ort. Numerical experiments which demonstrate the performance of these schemes are presented. ?

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