"A family of quadrature formulas for solving boundary integral equations"
Arushanyan I.O.

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

Arushanyan I.O., e-mail: i.arushan@gmail.com – Moscow State University, Faculty of Mechanics and Mathematics; Leninskiye Gory 1, Moscow, 119899, Russia