A fast solver for a hypersingular boundary integral equation

DOI10.1016/j.apnum.2009.02.005zbMath1171.65085OpenAlexW2045850538MaRDI QIDQ1030680

Haotao Cai

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.02.005

zbMATH Keywords

algorithmGalerkin methodnumerical examplessparse matrixhypersingular boundary integral equationnumerical integration methodmatrix truncation strategy

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Numerical approach for the solution of hypersingular integro-differential equations ⋮ A fast solver for the Hilbert-type singular integral equations based on the direct Fourier spectral method ⋮ Unnamed Item ⋮ A collocation method for a hypersingular boundary integral equation via trigonometric differentiation ⋮ Approximation of Hypersingular Integral Operators With Cauchy Kernel ⋮ Iterated fast multiscale Galerkin methods for Fredholm integral equations of second kind with weakly singular kernels

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