A fast multipole boundary integral equation method for crack problems in 3D
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Publication:1961182
DOI10.1016/S0955-7997(98)00065-4zbMath0953.74074MaRDI QIDQ1961182
Ken-ichi Yoshida, Naoshi Nishimura, Shoichi Kobayashi
Publication date: 17 January 2000
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
hypersingular boundary integral equationgeneralised minimum residual methodLaplace's equationcrack problemsthree-dimensional fast multipole boundary integral equation method
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rapid solution of integral equations of classical potential theory
- Fast multipole method as an efficient solver for 2D elastic wave surface integral equations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- ITERATIVE SOLUTION OF LARGE THREE-DIMENSIONAL BEM ELASTOSTATIC ANALYSES USING THE GMRES TECHNIQUE
- Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
