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Application of new fast multipole boundary integral equation method to crack problems in 3D
Affiliation:1. Department of Global Environment Engineering, Kyoto University, Kyoto 606-8501, Japan;2. Department of Construction Engineering, Fukui University of Technology, Fukui 910-8505, Japan;1. Sanliurfa Training and Research Hospital, Department of Orthopaedics and Traumatology, Sanliurfa, Turkey;2. Bursa Cekirge State Hospital, Department of Orthopaedics and Traumatology, Bursa, Turkey;3. Baltalimani Bone and Joint Diseases Training and Research Hospital, Department of Orthopaedics and Traumatology, Istanbul, Turkey;4. Ordu University Faculty of Medicine, Department of Orthopaedics and Traumatology, Ordu, Turkey;5. Ahi Evran University Faculty of Medicine, Department of Orthopaedics and Traumatology, Kirsehir, Turkey;1. Department of Mathematics, University of California at Irvine, United States of America;2. Center for Complex Biological Systems, University of California at Irvine, United States of America;3. Department of Biomedical Engineering, University of California at Irvine, United States of America;4. Department of Physics, University of California at Irvine, United States of America
Abstract:Fast multipole method (FMM) has been developed as a technique to reduce the computational cost and memory requirements in solving large scale problems. This paper discusses an application of the new version of FMM to three-dimensional boundary integral equation method (BIEM) for crack problems for the Laplace equation. The boundary integral equation is discretised with collocation method. The resulting algebraic equation is solved with generalised minimum residual method (GMRES). The numerical results show that the new version of FMM is more efficient than the original FMM.
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