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| Meshfree stabilized collocation method in elasticity |
| Received:January 15, 2021 Revised:February 10, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210115001 |
| KeyWord:meshfree stabilized collocation method reproducing kernel function accuracy stability efficiency |
| Author | Institution |
| 王莉华 |
同济大学 航空航天与力学学院, 上海 |
| 刘义嘉 |
同济大学 航空航天与力学学院, 上海 |
| 钟伟 |
同济大学 航空航天与力学学院, 上海 |
| 钱志浩 |
同济大学 航空航天与力学学院, 上海 |
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| Abstract: |
| Galerkin-type meshfree methods have the advantages of high accuracy and good stability,but the process of achieving high-order accurate integration is complicated,which results in the low efficiency of such methods.The collocation-type meshfree methods have high computational efficiency,but they often suffer from poor accuracy and stability when solving complex problems.Therefore,this paper introduces a new meshfree method-meshfree stabilized collocation method.In this method,the reproducing kernel function is utilized as the approximation function.Regular subdomains are established to achieve the high-order accurate integration.This method not only possesses the high efficiency as the direct collocation method,but also has the high accuracy and good stability as the Galerkin-type meshfree methods.Besides,it is also characterized by satisfying the conservation of local discrete equations as the finite volume method.Several examples of elasticity problems are presented to verify the superiority of the proposed method.It can be further applied to fluid and fluid-structure interaction problems in the future. |
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