A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
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Publication:464637
DOI10.1016/j.cam.2014.08.027zbMath1302.65264OpenAlexW1969359200MaRDI QIDQ464637
Xiao-Wei Gao, Jan Sladek, Xiaochao Li, Yao-Ming Zhang, Vladimir Sládek
Publication date: 28 October 2014
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2014.08.027
stabilitynumerical examplesboundary element methodexponential transformationnearly singular integrals3D potential problemsCauchy principle value integralHadamard-finite-part integralshigh-order geometry elements
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
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