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Numerical approximation of the Preisach model for hysteresis. (English) Zbl 0672.65115

The authors define a continuous hysteresis operator \(F_{\mu}\), which has a natural geometrical interpretation. They then consider the equation \(\partial /\partial t[u+F_{\mu}(u)]-\nabla^ 2u=f\) and indicate how it and a corresponding integral equation can be solved numerically by discretization techniques. A Fortran based implementation of the approximation for \(F_{\mu}\) is included.
Reviewer: Ll.G.Chambers

MSC:

65R20 Numerical methods for integral equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
78A30 Electro- and magnetostatics
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References:

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