A Fast Spectral Galerkin Method for Hypersingular Boundary Integral Equations in Potential Theory

Journal Article · Thu Jan 01 00:00:00 EST 2009 · Computational Mechanics

DOI:https://doi.org/10.1007/s00466-009-0373-8· OSTI ID:952512

Nintcheu Fata, Sylvain ^[1]; Gray, Leonard J ^[1]

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1. ORNL

This research is focused on the development of a fast spectral method to accelerate the solution of three-dimensional hypersingular boundary integral equations of potential theory. Based on a Galerkin approximation, the Fast Fourier Transform and local interpolation operators, the proposed method is a generalization of the Precorrected-FFT technique to deal with double-layer potential kernels, hypersingular kernels and higher-order basis functions. Numerical examples utilizing piecewise linear shape functions are included to illustrate the performance of the method.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 952512
• Journal Information: Computational Mechanics, Vol. 44, Issue 2
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INTEGRAL EQUATIONS
INTERPOLATION
PERFORMANCE
ITERATIVE METHODS