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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2013 Volume 14, Issue 4, Pages 461–467 (Mi vmp136)

This article is cited in 3 papers

Вычислительные методы и приложения

A family of quadrature formulas for solving boundary integral equations

I. O. Arushanyan

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A family of exponentially convergent quadrature formulas is proposed for a class of functions with weak singularity. The results obtained are used to solve the boundary integral equations of harmonic potential theory in domains with corner points.

Keywords: double-layer potential; integral equations; corner points; condensing grids; quadrature method.

UDC: 519.6

Received: 11.09.2013



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