ZHENG Cheng-bo, LIU Bin, WANG Zuo-jun, ZHENG Shi-ke. Generalized Variational Principles for Boundary Value Problem of Electromagnetic Field in Electrodynamics[J]. Applied Mathematics and Mechanics, 2010, 31(4): 443-450. doi: 10.3879/j.issn.1000-0887.2010.04.006
Citation: ZHENG Cheng-bo, LIU Bin, WANG Zuo-jun, ZHENG Shi-ke. Generalized Variational Principles for Boundary Value Problem of Electromagnetic Field in Electrodynamics[J]. Applied Mathematics and Mechanics, 2010, 31(4): 443-450. doi: 10.3879/j.issn.1000-0887.2010.04.006

Generalized Variational Principles for Boundary Value Problem of Electromagnetic Field in Electrodynamics

doi: 10.3879/j.issn.1000-0887.2010.04.006
  • Received Date: 1900-01-01
  • Rev Recd Date: 2010-02-22
  • Publish Date: 2010-04-15
  • The expression of the generalized principle of virtual work for the boundary value problem of linear and aniso tropic electromagnetic field was given.Using Pro.fW.Z.Chien's method,a pair of generalized variational principles(GVP s)were established,which could directly lead to all four Maxwell equations,two intensity-potential equations,two constitutive equations and eight boundary conditions.A family of constrained variational principles was deduced sequentially.As the additional verifications,two degenerated forms were obtained,which were equivalent to two known variational principles.Two modified GVPs were given to provide the hybrid finite element models for the present problem.A more complete theoretical foundation for the finite element applications was provided for the discussed problem.
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