On a certain two-sided symmetric condition in magnetic field analysis and computations (Q1265617)
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scientific article; zbMATH DE number 1203981
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a certain two-sided symmetric condition in magnetic field analysis and computations |
scientific article; zbMATH DE number 1203981 |
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On a certain two-sided symmetric condition in magnetic field analysis and computations (English)
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28 September 1998
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A finite element method for solving a nonlinear boundary value problem of elliptic type with mixed boundary conditions is investigated. The problem describes the nonlinear stationary magnetic field distributed in a planar domain composed of different isotropic media. The authors introduce a special two-sided condition for the incremental magnetic reductivity which guarantees the existence and uniqueness of the weak and approximate solutions. The main theorem establishes the convergence of the finite element method in the Sobolev \(H^1(\Omega)\)-norm. A numerical example for the calculation of a magnetic potential in a synchronous rotary machine is given.
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magnetic field
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variational formulation
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convergence
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finite element method
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numerical example
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magnetic potential
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