ISSN:
0029-5981
Keywords:
infinite domain
;
finite element
;
Dirichlet-to-Neumann (DtN)
;
non-linear elliptic problems
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
A class of non-linear elliptic problems in infinite domains is considered, with non-linearities extending to infinity. Examples include steady-state heat radiation from an infinite plate, and the deflection of an infinite 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 infinite domains, is extended here to solve these non-linear problems. Several DtN schemes are proposed, with a trade-off between accuracy and computational effort. Numerical experiments which demonstrate the performance of these schemes are presented. © 1998 John Wiley & Sons, Ltd.
Additional Material:
7 Ill.
Type of Medium:
Electronic Resource
