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

ZHENG Cheng-bo; LIU Bin; WANG Zuo-jun; ZHENG Shi-ke

doi:10.3879/j.issn.1000-0887.2010.04.006

Volume 31 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2010 > 31(4): 443-450

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

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

doi: 10.3879/j.issn.1000-0887.2010.04.006

Key Lab of Measurement Technology and Instrumentation of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, P. R. China

Received Date: 1900-01-01
Rev Recd Date: 2010-02-22
Publish Date: 2010-04-15

Abstract

Abstract

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.
- generalized variational principle,
- electrom agnetic field,
- electrodynamics,
- boundary value problem,
- finite element method

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References(14)

References

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