电磁场涡流问题的变分原理

The Variational Principle of Eddying Current Problems in an Electromagnetic Field

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.

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.