Multi-Variable Non-Singular BEM for 2-D Potential Problems |
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| Authors: | Haibo Chen &#x;
Î Jianfeng Jin
Ï Peiqiang Zhang ú Pin Lü &#x; |
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| Institution: | CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | A multi-variable non-singular boundary element method (MNBEM) is presented for 2-D potential problems. This method is based on the coincident collocation of non-singular boundary integral equations (BIEs) of the potential and its derivatives, where the nodal potential derivatives are considered independent of the nodal potential and flux. The system equation is solved to determine the unknown boundary potentials and fluxes, with high accuracy boundary nodal potential derivatives obtained from the solution at the same time. A modified Gaussian elimination algorithm was developed to improve the solution efficiency of the final system equation. Numerical examples verify the validity of the proposed algorithm. |
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| Keywords: | boundary element method potential problem potential derivatives non-singular boundary in- tegral equation |
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