Quadrature formulas for periodic functions and their application to the boundary element method

DOI10.1134/S0965542508080022zbMath1199.65390OpenAlexW2001923943MaRDI QIDQ3647822

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Publication date: 24 November 2009

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542508080022

zbMATH Keywords

numerical examplesboundary value problemsquadrature formulasLaplace equationRayleigh-Taylor instabilityintegral equation methodaxisymmetric flowstanding wavesfree-surface flowperiodic singular kerneltwo-dimensional potential inviscid circulation flow

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Free-surface potential flows for incompressible inviscid fluids (76B07) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

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