A Fast Spectral Galerkin Method for Hypersingular Boundary Integral Equations in Potential Theory
Journal Article
·
· Computational Mechanics
- 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 Laboratory (ORNL)
- Sponsoring Organization:
- SC USDOE - Office of Science (SC)
- DOE Contract Number:
- AC05-00OR22725
- OSTI ID:
- 952512
- Journal Information:
- Computational Mechanics, Journal Name: Computational Mechanics Journal Issue: 2 Vol. 44
- Country of Publication:
- United States
- Language:
- English
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