Generalized variational principles for boundary value problem of electromagnetic

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Generalized variational principles for boundary value problem of electromagnetic field in electrodynamics

An expression of the generalized principle of virtual work for the boundary value problem of the linear and anisotropic electromagnetic field is given.Using Chien's method,a pair of generalized variational principles (GVPs) are established,which directly leads to all four Maxwell's equations,two intensity-potential equations,two constitutive equations,and eight boundary conditions.A family of constrained variational principles is derived sequentially.As additional verifications,two degenerated forms are obtained,equivalent to two known variational principles.Two modified GVPs are given to provide the hybrid finite element models for the present problem.水利论文[m R ZTWU2x0L)}

作 者: Cheng-bo ZHENG Bin LIU Zuo-jun WANG Shi-ke ZHENG  
作者单位:Key Laboratory of Measurement Technology and Instrumentation of Hebei Province,Yanshan University,Qinhuangdao 066004,Hebei Province,P.R.China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2010 31(4) 
分类号:O441.4 O176 
关键词:generalized variational principle (GVP)   electromagnetic field   electrody-namics   boundary value problem   finite element method  
机标关键词:electromagnetic fieldboundary value problemvariational principlesprinciple of virtual workgeneralizedconstitutive equationsfinite element modelstwoMaxwellhybridfamilyfour 
基金项目:国家自然科学基金,the Natural Science Foundation of Hebei Province of China 
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