Overhauser elements in boundary element analysis

Abstract

The accuracy and the merit of the Overhauser cubic spline as an isoparametric representation in solving two-dimensional potential problems by the boundary element method (BEM) is investigated. The Overhauser parametric shape functions are used to form a curvilinear boundary element which is intrinsically C1-continuous between elements. The resulting Overhauser element avoids the computational inefficiencies suffered by general cubic splines that require an additional variable to enforce derivative continuity between elements. Several numerical examples of phenomena governed by both the Poisson and biharmonic equations are presented and compared with existing numerical results or exact solutions. © 1991.

Publication Title

Mathematical and Computer Modelling

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