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A Lagrange multiplier method for the interface equations from electromagnetic applications. (English) Zbl 0773.65084
A Lagrange multiplier method for solving eddy current problems in electromagnetic field applications is presented. The Lagrange multiplier equation can be solved efficiently using iterative solution schemes such as the conjugate gradient iterations. Error estimates are proved for the finite element approximations which guarantee convergence as the mesh is refined.
An alternative operator representation of the interface equations is also presented. Semidiscrete approximations are introduced for the time- dependent problem and error estimates are proved.
Reviewer: L.-I.Anita (Iaşi)

MSC:
65Z05 Applications to the sciences
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory, general
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