Generalized variational principles for boundary value problem of electromagnetic field in electrodynamics (Q605119)

In the present paper it is established an expression of the generalized principle of virtual work and the principle of virtual work for the boundary value problem of the electromagnetic field in a linear and anisotropic material. Using Chien's method, the authors obtain two generalized variational principles that can directly lead to Maxwell's equations, two intensity-potential equations, two constitutive equations, and eight boundary conditions. Two modified generalized variational principles are also deduced, which can provide the hybrid finite element models for the problem studied in this paper. The abstract results established in the present paper characterize the boundary value problem of the linear and anisotropic electromagnetic field.