WIT Press


The Use Of Exact Values At Quadrature Points In The Boundary Element Method

Price

Free (open access)

Paper DOI

10.2495/BE990211

Volume

25

Pages

10

Published

1999

Size

653 kb

Author(s)

N.D. Stringfellow & R.N.L. Smith

Abstract

This paper describes the use of exact values in the solution of boundary el- ement problems and compares the accuracy of the corresponding numerical solutions with those obtained using the traditional interpolation method. The new scheme improves accuracy significantly, perhaps by several orders of magnitude, at little computational cost. 1 Introduction The traditional approach to solving a boundary element problem over a domain il with boundary conditions $ defined over a boundary F has been to take the geometry of F, discretise this geometry and use a set of polynomial interpolation functions to represent each section of the discretised shape. The assembly of entries in the coefficient matrices then consists of using these

Keywords