A simple and robust method for essential boundary condition treatments in mesh-less methods |
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Authors: | ZHAO Wei-min GUO Feng LI Gui-xian |
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Affiliation: | 1. School of Machinery Science and Engineering, Daqing Petroleum Institute, Daqing 163001, China 2. School of Mecharonics Engineering, Harbin Institute of Technology, Harbin 150001, China |
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Abstract: | To improve the treatment efficiency of essential boundary condition in mesh-less methods, a simple and robust method is proposed in this paper. Rising weight of nodes in the construction of trail function, specified for essential boundary condition, can make the trail function pass through these nodes. And then, the trail function can satisfy the essential boundary condition previously by setting diagonal element to 1 or multiplying diagonal element by a big number in FEM. The MLS method is adopted to validate this method, and it is proved that this method is costless and robust in most of mesh-less methods. |
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Keywords: | mesh-less method essential boundary condition rising weight |
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