Article
MSC:
35J05,
35J25,
35J50,
35Q60,
65N30,
78-08,
78A25 | MR 1241449 | Zbl 0795.65075 | DOI: 10.21136/AM.1993.104568
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Keywords:
Neumann problem; penalty method; finite elements; magnetic field; linear elliptic Neumann problem; Lagrange’s multipliers
Neumann problem; penalty method; finite elements; magnetic field; linear elliptic Neumann problem; Lagrange’s multipliers
Summary:
We prove that penalization of constraints occuring in the linear elliptic Neumann problem yields directly the exact solution for an arbitrary set of penalty parameters. In this case there is a continuum of Lagrange's multipliers. The proposed penalty method is applied to calculate the magnetic field in the window of a transformer.
References:
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