fala is a Whitney element based, structured finite element method for electromagnetic simulations coupled with electrical circuits.
The foundation of the implementation of Whitney elements comes from two sources:
- David B. Davidson, Computational Electromagnetics for RF and Microwave Engineering, 2nd edition, 2010, Cambridge University Press;
- Thomas Rylander, Pär Ingelström, and Anders Bondeson, Computational Electromagnetics, 2013, Springer-Verlag New York.
Davidson's MATLAB code has helped implementing rectangular edge elements and served as a test case scenario. The MATLAB code from Rylander et al. improved the implementation of triangular edge elements.
Since then, both codes has been mashed together and repurposed as a time-domain electromagnetic field solvers on structured grids.
The wave equation can be coupled with an external, nonlinear circuit using the idea from [1].
[1] M. Feliziani and F. Maradei, "Circuit-oriented FEM: solution of circuit-field coupled problems by circuit equations," in IEEE Transactions on Magnetics, vol. 38, no. 2, pp. 965-968, March 2002, doi: 10.1109/20.996248.
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