Scaling integration method for singular integrals and its application to BEM

DOI10.1016/0021-9991(89)90120-4zbMath0681.65082OpenAlexW1964266845MaRDI QIDQ1823633

Masato Koda, Yasunao Katayama

Publication date: 1989

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90120-4

zbMATH Keywords

boundary element methodsingular integralsline integralsscaling integration

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Accurate numerical integration of singular boundary element kernels over boundaries with curvature
• Taylor expansions for singular kernels in the boundary element method
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• An adaptive boundary element method
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