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Universal Quadratures for Boundary Integral Equations on Two-Dimensional Domains with Corners

Universal Quadratures for Boundary Integral Equations on Two-Dimensional Domains with Corners

We describe the construction of a collection of quadrature formulae suitable for the efficient discretization of certain boundary integral equations on a very general class of two-dimensional domains with corner points.The resulting quadrature rules allow for the rapid high accuracy solution of Laplace's equation and the Helmholtz equation on such …