Section: New Results

Numerical simulation in low-frequency electromagnetism

In [32], [31], E. Creusé et al. investigate the behavior of some Finite Element error estimators in the context of low-frequency elecromagnetism simulations, to underline the main differences in some practical situations. A more theoretical contribution is also developed to prove the equivalence of some usual discrete gauge conditions. Once again, their numerical behaviors are compared on some characteristic benchmarks.

In [58], F. Chave, S. Lemaire et al. introduce a three-dimensional Hybrid High-Order (HHO) method for magnetostatic problems. The proposed method is easy to implement, supports general polyhedral meshes, and allows for arbitrary orders of approximation.