The numerical evaluation of a $2$-D Cauchy principal value integral arising in boundary integral equation methods
نویسندگان
چکیده
منابع مشابه
The Numerical Evaluation of a 2-d Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
In this paper we consider the problem of computing 2-D Cauchy principal value integrals of the form -f F(P0;P)dP, P0£S, Js where 5 is either a rectangle or a triangle, and F(Pq ; P) is integrable over S , except at the point P$ where it has a second-order pole. Using polar coordinates, the integral is first reduced to the form lhLmü±ñdrde, Je¡ Jo r where f denotes the finite part of the (diverg...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1994
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1994-1212268-8