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HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS. PART 2: SOME 2D EXAMPLES

โœ Scribed by Shi-Jun Liao


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
141 KB
Volume
24
Category
Article
ISSN
0271-2091

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โœฆ Synopsis


In this paper the general BEM proposed previously by Liao is applied to solve some 2D strongly non-linear differential equations, even including those whose governing equations and boundary conditions do not contain any linear terms. It is shown that the proposed general BEM is really valid for general non-linear problems, so that it can be applied to solve high-dimensional, strongly non-linear problems in engineering.


๐Ÿ“œ SIMILAR VOLUMES


HIGH-ORDER BEM FORMULATIONS FOR STRONGLY
โœ SHI-JUN LIAO ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 611 KB

In this paper the basic idea of homotopy in topology is applied to give a kind of high-order BEM formulation for general non-linear problems governed by non-linear differential operators which need not contain any linear operators at all. As a result, the traditional REM for non-linear problems is j