| 电磁场涡流问题的变分原理 |
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| 引用本文： | 陈世欣,周克定,李朗如.电磁场涡流问题的变分原理[J].华中科技大学学报(自然科学版),1990(4). |
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| 作者姓名： | 陈世欣 周克定 李朗如 |
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| 作者单位： | 华中理工大学电力工程系
(陈世欣，周克定)，华中理工大学电力工程系(李朗如) |
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| 摘 要： | 电磁场涡流问题是非自伴的边值问题,本文从构造伴随系统出发导出了非自伴三维瞬态涡流方程的泛函,当采用Raleigh-Ritz法或有限元法时,得到原问题和伴随问题的解耦格式,且当伴随场的基函数空间与原问题相同时,非自伴瞬态涡流方程的泛函变分问题与加辽金有限元法等价.
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| 关 键 词： | 电磁场 涡流 变分原理 |
The Variational Principle of Eddying Current Problems in an Electromagnetic Field |
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| Chen Shixin Zhou Keding Li Langru.The Variational Principle of Eddying Current Problems in an Electromagnetic Field[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1990(4). |
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| Authors: | Chen Shixin Zhou Keding Li Langru |
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| Institution: | Chen Shixin Zhou Keding Li Langru |
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| Abstract: | A new variational formulation for eddying current problems in an electromagnetic field is derived by constructing a conservative system composed of a non-self-adjoint original eddying current field and its auxiliary field systems. If Raleigh-Ritz or the finite element method is used to solve the variational problems and the base function space of the auxiliary field is the same as that of the original field, the variational problem of the functional is equivalent to Galerkin's finite element method. |
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| Keywords: | Electromagnetic field Eddying current Variational principle |
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