https://scholars.lib.ntu.edu.tw/handle/123456789/597898
標題: | A novel local radial basis function collocation method for multi-dimensional piezoelectric problems | 作者: | Noorizadegan A Young D.L Chen C.-S. CHUIN-SHAN CHEN |
關鍵字: | Local radial basis function collocation method;multiquadrics;piezoelectric materials;shape parameter;strong-form formulation;Functions;Galerkin methods;Heat conduction;Image segmentation;Least squares approximations;Numerical methods;Piezoelectric materials;Piezoelectricity;Radial basis function networks;Local radial base function collocation method;Local radial basis function;Meshless numerical method;Multi dimensional;Multiquadrics;Piezoelectric problems;Radial basis function collocation method;Shape parameters;Strong form;Strong-form formulation;Poisson equation | 公開日期: | 2021 | 來源出版物: | Journal of Intelligent Material Systems and Structures | 摘要: | The local radial basis function collocation method (LRBFCM), a strong-form formulation of the meshless numerical method, is proposed for solving piezoelectric medium problems. The proposed numerical algorithm is based on the local Kansa method using variable shape parameter. We introduce a novel technique for the determination of shape parameter in the LRBFCM, which leads to greater accuracy, and simplicity. The implemented algorithm is first verified with a 2D Poisson equation. Then, we employed LRBFCM in a numerical simulation for 2D and 3D piezoelectric problems involving mutual coupling of the electric field and elastodynamic equations for mechanical field. The presented meshless method is verified using corresponding results obtained from the finite element method and moving least squares meshless local Petrov–Galerkin method. In particular, the 2D piezoelectric problem is verified with an exact solution. ? The Author(s) 2021. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85118556034&doi=10.1177%2f1045389X211057207&partnerID=40&md5=92d49a066ae84f23b492d350798609cb https://scholars.lib.ntu.edu.tw/handle/123456789/597898 |
ISSN: | 1045389X | DOI: | 10.1177/1045389X211057207 |
顯示於: | 土木工程學系 |
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