NANov 2, 2018
Systems of Differential Algebraic Equations in Computational ElectromagneticsIdoia Cortes Garcia, Sebastian Schöps, Herbert De Gersem et al.
Starting from space-discretisation of Maxwell's equations, various classical formulations are proposed for the simulation of electromagnetic fields. They differ in the phenomena considered as well as in the variables chosen for discretisation. This contribution presents a literature survey of the most common approximations and formulations with a focus on their structural properties. The differential-algebraic character is discussed and quantified by the differential index concept.