**A. AIMI** and **M. DILIGENTI**

*Error analysis for singular integral evaluation on piecewise smooth curves in Galerkin BEM*

**Pages:** 181-205

**Received:** 2 December 1998

**Mathematics Subject Classification (2000):** 65N38 - 65D32

**Abstract**:
In this paper we consider integral equations
associated with 2D boundary value problems defined on domains whose
boundary is
given by piecewise smooth parametric representations.
Given any (polynomial) local basis, in a previous work ([1])
we have shown how to compute efficiently
all integrals required by the Galerkin method, substituting the real
boundary with short
linear interpolants when double integrals are defined on two consecutive
elements with different
parametrizations. Here we give estimates for the error generated by this
approximation procedure
in weakly singular and Cauchy singular integrals and analyse numerical
examples,
not previously shown, dealing with critical cases.
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