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Titlebook: Mathematical Models and Numerical Simulation in Electromagnetism; Alfredo Bermúdez,Dolores Gómez,Pilar Salgado Textbook 2014 Springer Inte

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Some solutions of Maxwell’s equations in free spacece of charges and currents. Thus, we consider classical examples in electrostatics and magnetostatics. By choosing suitable sets . and . in the integral form of Maxwell’s equations we will be able to obtain the electromagnetic fields.
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Electrostaticsntial simpli-fications. For example, in electrostatics, charges do not move so there are no currents and then the magnetic field is null. In this chapter, we will study this model in terms of the electrostatic potential and introduce the concept of capacitance.
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The eddy currents modelthe Ampère’s law. We will study this model in the time-harmonic regime and in bounded threedimensional and two-dimensional domains by using different unknowns. At the end of the chapter we give a brief description of the coupling between the eddy currents model and a lumped circuit model.
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Eddy currents with MaxFEMIn this chapter we solve several examples governed by the time-harmonic eddy currents model by using MaxFEM. For some of the problems we will provide the analytical and the numerical solution. We exploit that some problems can be approximated by 2D or axisymmetric models but some others will require a genuine 3D model.
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https://doi.org/10.1007/978-3-319-02949-8Maxwell‘s equations; electromagnetism; linear circuits; nonlinear magnetic and hysteresis; numerical sim
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