THE BOUNDARY STRIP METHOD IN ELASTOSTATICS AND POTENTIAL EQUATIONS

Citation
O. Michael et al., THE BOUNDARY STRIP METHOD IN ELASTOSTATICS AND POTENTIAL EQUATIONS, International journal for numerical methods in engineering, 39(3), 1996, pp. 527-544
Citations number
9
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
ISSN journal
00295981
Volume
39
Issue
3
Year of publication
1996
Pages
527 - 544
Database
ISI
SICI code
0029-5981(1996)39:3<527:TBSMIE>2.0.ZU;2-A
Abstract
The present paper develops the idea of the boundary strip method, and presents its fundamentals, merits, applications and also some closed-f orm or non-element solutions based on it. The present approach combine s the Boundary Integral Equation Method (BIEM) and the finite strip me thod, taking the advantages of both. The finite strip method is instal led into the BIEM by expanding the unknown parameters of problems in t erms of trigonometric series. This combination creates a new powerful numerical method with three advantages over other numerical methods, n amely, a shorter computation time, a better accuracy and a reduction o f one and a half dimensions in mesh generation. Applications in two-di mensional potential and field problems demonstrate the efficiency and the accuracy of the proposed method. Finally, closed-form presentation s for Laplace equation and elastostatics are given, along circular seg ments.