Application of the generalized finite difference method to three-dimensional transient electromagnetic problems
We apply the generalized finite difference method (GFDM), a relatively new domain-type meshless method, for the numerical solution of three-dimensional (3D) transient electromagnetic problems. The method combines Taylor series expansions and the weighted moving least-squares method. The main idea he...
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| Veröffentlicht in: | Engineering analysis with boundary elements Jg. 92; S. 257 - 266 |
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| Sprache: | Englisch |
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01.07.2018
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| Abstract | We apply the generalized finite difference method (GFDM), a relatively new domain-type meshless method, for the numerical solution of three-dimensional (3D) transient electromagnetic problems. The method combines Taylor series expansions and the weighted moving least-squares method. The main idea here is to inherit the high-accuracy advantage of the former and the stability and meshless attributes of the latter. This makes the method particularly attractive for problems defined in 3D complex geometries. Three benchmark 3D problems governed by the Maxwell's equations with both smooth and piecewise smooth geometries have been analyzed. The convergence, accuracy and stability of the method with respect to increasing the number of scattered nodes inside the domain are studied. |
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| AbstractList | We apply the generalized finite difference method (GFDM), a relatively new domain-type meshless method, for the numerical solution of three-dimensional (3D) transient electromagnetic problems. The method combines Taylor series expansions and the weighted moving least-squares method. The main idea here is to inherit the high-accuracy advantage of the former and the stability and meshless attributes of the latter. This makes the method particularly attractive for problems defined in 3D complex geometries. Three benchmark 3D problems governed by the Maxwell's equations with both smooth and piecewise smooth geometries have been analyzed. The convergence, accuracy and stability of the method with respect to increasing the number of scattered nodes inside the domain are studied. |
| Author | Gu, Yan Chen, Jian Liu, Lianguang Wang, Maohai Chen, Wen |
| Author_xml | – sequence: 1 givenname: Jian orcidid: 0000-0002-1438-7168 surname: Chen fullname: Chen, Jian organization: School of Electrical & Electronic Engineering, North China Electric Power University, Beijing 102206, PR China – sequence: 2 givenname: Yan orcidid: 0000-0002-8510-3193 surname: Gu fullname: Gu, Yan email: guyan1913@163.com organization: School of Mathematics and Statistics, Qingdao University, Qingdao 266071, PR China – sequence: 3 givenname: Maohai surname: Wang fullname: Wang, Maohai organization: North China Branch of State Grid Corporation of China, Beijing 100053, PR China – sequence: 4 givenname: Wen surname: Chen fullname: Chen, Wen organization: College of Mechanics and Materials, Hohai University, Nanjing 210098, PR China – sequence: 5 givenname: Lianguang surname: Liu fullname: Liu, Lianguang organization: School of Electrical & Electronic Engineering, North China Electric Power University, Beijing 102206, PR China |
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| Snippet | We apply the generalized finite difference method (GFDM), a relatively new domain-type meshless method, for the numerical solution of three-dimensional (3D)... |
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| SubjectTerms | Generalized finite difference method Maxwell's equations Meshless method Transient electromagnetic problem |
| Title | Application of the generalized finite difference method to three-dimensional transient electromagnetic problems |
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