
doi: 10.1007/bf01396234
Cubature formulae for the accurate and efficient evaluation of weakly, Cauchy and hypersingular integrals over piecewise analytic curved surfaces in \(\mathbb{R}^ 3\) are derived. Asymptotic estimates of the integration error are also presented.
Cauchy type singular integrals, weakly singular integrals, hypersingular integrals, Boundary element methods for boundary value problems involving PDEs, asymptotic estimates, Numerical quadrature and cubature formulas, Article, Approximate quadratures, boundary element method, 510.mathematics, surface integrals, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, cubature formulae
Cauchy type singular integrals, weakly singular integrals, hypersingular integrals, Boundary element methods for boundary value problems involving PDEs, asymptotic estimates, Numerical quadrature and cubature formulas, Article, Approximate quadratures, boundary element method, 510.mathematics, surface integrals, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, cubature formulae
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