Boundary integral equation method of higher computational accuracy |
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| Affiliation: | 1. Clem Jones Centre for Ageing Dementia Research, Queensland Brain Institute, The University of Queensland, Brisbane, Queensland, 4072, Australia;2. Epigenetics and RNA Biology Program Centenary Institute, The University of Sydney, Camperdown, New South Wales, 2050, Australia;3. Faculty of Medicine and Health, The University of Sydney, Camperdown, New South Wales, 2050, Australia |
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| Abstract: | The boundary integral equation method presented in the paper features the following: (1) no singular kernels, strong or weak, are involved, and computationally no local “element” approximations are needed; (2) the integral equations are well conditioned, including the cases of bounded and multiply connected regions, and no iterative approximations are involved; (3) no post-solution differentiation is involved. These features provide for a higher computational efficiency. The method solves in full a number of engineering problems, and can be used for the stiffness matrix formulation in more complex situations. |
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