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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
Author(s) -
Liao ShiJun
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19970515)24:9<863::aid-fld492>3.0.co;2-3
Subject(s) - mathematics , linear differential equation , boundary (topology) , boundary element method , boundary value problem , order (exchange) , differential equation , linear system , mathematical analysis , calculus (dental) , finite element method , physics , medicine , dentistry , finance , economics , thermodynamics
Abstract 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. © 1997 by John Wiley & Sons, Ltd. Int. j. numer. methods fluids 24: 863–873, 1997.