✦ LIBER ✦

HIGH-ORDER BEM FORMULATIONS FOR STRONGLY NON-LINEAR PROBLEMS GOVERNED BY QUITE GENERAL NON-LINEAR DIFFERENTIAL OPERATORS

✍ Scribed by SHI-JUN LIAO

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 611 KB
Volume: 23
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19961030)23:8<739::aid-fld390>3.0.co;2-8

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✦ Synopsis

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 just a special case of the proposed method. Three simple examples are used to show the effectiveness of the proposed quite general BEM for nonlinear problems.

📜 SIMILAR VOLUMES

HIGH-ORDER BEM FORMULATIONS FOR STRONGLY

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

✍ Shi-Jun Liao 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

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 gene