Abstract
We consider time-dependent electromagnetic fields with negligible propagation effect. These fields are called quasistatic. While the case with negligible displacement current (mainly inductive effects; magneto-quasistatics) is usually treated in classical theory, the case of fields free of eddy currents (mainly capacitive; electro-quasistatics) is still not too common Yet, the electro-quasistatic model is applicable in many different constellations, especially for microelectronic devices, too.
In this paper, we derive the electro-quasistatic (EQS) equations and deal with their discretization using the Finite Integration Technique. We treat the time-harmonic and the transient equations as well as anisotropic materials. For some application from high-voltage engineering we study Krylov-subspace methods with algebraic multigrid preconditioning. As special application, neuronal microelectrode arrays are chosen affording the coupling of the transient EQS equations with the Hodgkin-Huxley equations in order to simulate the so-called action potential of the nerves.
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van Rienen, U., Flehr, J., Schreiber, U., Motrescu, V. (2003). Modeling and Simulation of Electro-Quasistatic Fields. In: Antreich, K., Bulirsch, R., Gilg, A., Rentrop, P. (eds) Modeling, Simulation, and Optimization of Integrated Circuits. ISNM International Series of Numerical Mathematics, vol 146. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8065-7_2
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DOI: https://doi.org/10.1007/978-3-0348-8065-7_2
Publisher Name: Birkhäuser, Basel
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