Computational electromagnetics (CEM), more specifically:

  • Magnetic linear inverse problems

Magnetic linear inverse problems are based on the measurement of magnetic fields and arise in a variety of applications, e.g. current measurement in multiconductor systems, non-destructive testing, demining, magnetic fields characterization for human exposure, reconstruction of a magnetization distribution or of the electrical activity in the brain or in the heart.

  • Surface impedance boundary conditions

The surface impedance concept is a popular and efficient tool in computational electromagnetics. It gives approximate relations between electromagnetic quantities at the surface of the conductor, so that the conducting region does not need to be included in the mesh and can be “replaced” by surface impedance boundary conditions (SIBCs) in the numerical procedure. SIBCs are widely used in their low order degree of approximation, which does not take into account the curvature of the interface and the variation of the field along the surface. SIBCs of high order of approximation allowing for both mentioned effects have been developed in the frequency domain and time domain to improve accuracy and expand the application area of the surface impedance concept.

  • Uncertainty quantification in CEM

Electromagnetic computations rely on the perfect knowledge of material parameters. However, for a wide range of examples in electrical engineering, some uncertainty should be associated with that knowledge in the modeling process. In order to quantify the uncertainty of the output quantities of interest coming from the lack of knowledge of the input material parameters, the Monte Carlo method can be applied. However the convergence is very slow and, if the single deterministic computation is not fast enough, the total computational time becomes prohibitive. The spectral stochastic approach is able to dramatically reduce the computational time.

  • Processing magnetic measurement data of accelerator magnets by the Boundary Element Method

The simulation of particle trajectories through spectrometers and other large-acceptance magnets requires precise information on the magnetic field distribution (computed or measured). The task of this research line (in cooperation with CERN) is to reconstruct the local field values in a magnet bore from a discrete set of boundary data, acquired by Hall sensors or translating induction-coil magnetometers, applying the Boundary Element Method (BEM) in a post-processing stage.