Publication: Gaussian quadratures for singular integrals in BEM with applications to the 2D modified Helmholtz equation
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Elsevier BV
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Abstract
The calculation of singular integrals arising from the boundary element method (BEM) by Gaussian quadrature is discussed. The singularity studied is \(K_{0}(cx)\), where \(K_{0}(cx)\) is the fundamental solution of the modified Helmholtz equation. Comparison with other methods is done by numerical examples.
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numerical examples, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Gaussian quadrature, Boundary element methods for boundary value problems involving PDEs, singular integrals, Helmholtz equation, Numerical quadrature and cubature formulas, Approximate quadratures, boundary element method