Fast Galerkin BEM for 3D Potential Theory

Journal Article · Mon Dec 31 23:00:00 EST 2007 · Computational Mechanics

DOI:https://doi.org/10.1007/s00466-008-0251-9· OSTI ID:944943

Nintcheu Fata, Sylvain ^[1]

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1. ORNL

This paper is concerned with the development of a fast spectral method for solving direct and indirect boundary integral equations in 3D-potential theory. Based on a Galerkin approximation and the Fast Fourier Transform, the proposed method is a generalization of the precorrected-FFT technique to handle not only single-layer potentials but also double-layer potentials and higher-order basis functions. Numerical examples utilizing piecewise linear shape functions are presented to illustrate the performance of the method.

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: SC USDOE - Office of Science (SC)
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 944943
• Journal Information: Computational Mechanics, Journal Name: Computational Mechanics Journal Issue: 3 Vol. 42
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
APPROXIMATIONS
INTEGRAL EQUATIONS
PERFORMANCE
POTENTIALS