The Use Of Exact Values At Quadrature Points In The Boundary Element Method
Price
Free (open access)
Transaction
Volume
25
Pages
10
Published
1999
Size
653 kb
Paper DOI
10.2495/BE990211
Copyright
WIT Press
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