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Figure 3 | Journal of Mathematics in Industry

Figure 3

From: Efficient frequency-transient co-simulation of coupled heat-electromagnetic problems

Figure 3

Mimetic discretizations of Maxwell’s equations (e.g. by FIT) use a primal and dual grid. The discrete temperatures T k are located at primary nodes, the line-integrated electric field and the magnetic vector potentials e k = a k are defined at primary edges and finally the facet-integrated source current density j k at dual surfaces. The material laws relate the quantities on both grids, e.g., the conductivity connects by Ohm’s Law the currents and voltages, i.e. j k = σ k ( T k ) e k . The figure shows the case for a current in x-direction.

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