Author(s)

R.N.L. Smith

Abstract

Subtraction of singularities using boundary elements R.N.L. Smith Applied Mathematics and Operational Research Group, Cranfield University, RMCS Shrivenham, Swindon, ABSTRACT The subtraction of singularity technique (SST) is well-suited to the boundary element method. We describe an easy to implement three-step version of SST for the evaluation of first and second order singularity coefficients and examine the influence of element type on the solution to a potential problem using elements from constant to cubic. The use of mesh grading in association with SST is shown to be useful in obtaining accurate solutions with a modest number of elements but the use of a second order term is seen to be much more important. INTRODUCTION The presence of a singularity on a region boundary gives rise to large local errors and since the coefficient of the singularity is often the most important unknown, many methods have been devised to improve the accuracy of solution. The incorporation of

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