Electromagnetic Integral Equations
The main expertise of the Electromagnetism and Acoustics team concerns the numerical simulation of the scattering of time-harmonic electromagnetic waves, by metallic or coated obstacles.
The methods which have been developed in the CESC code (CERFACS Electromagnetism Solver Code) combine integral equations and finite elements. Large size problems arising at high frequency are now tractable, thanks to the Fast Multipole Method. Appropriate Domain Decomposition techniques allow increasing the efficiency of the algorithms in the presence of heterogeneous regions.
Various applications have been considered (computation of the far-field pattern of a micro-satellite, computation of Radar Cross Sections for Remote Sensing,…)
Research activities are now focused on the following topics:
The methods which have been developed in the CESC code (CERFACS Electromagnetism Solver Code) combine integral equations and finite elements. Large size problems arising at high frequency are now tractable, thanks to the Fast Multipole Method. Appropriate Domain Decomposition techniques allow increasing the efficiency of the algorithms in the presence of heterogeneous regions.
Various applications have been considered (computation of the far-field pattern of a micro-satellite, computation of Radar Cross Sections for Remote Sensing,…)
Research activities are now focused on the following topics:
- New well conditioned and accurate formulations are developed, such that the iterative solution requires few iterations, even in the high frequency regime. In the case of perfectly conducting or impedant obstacles, good results have been obtained. Extension to dielectric objects is in progress (collaboration with ONERA).
- A formulation involving currents and charges as unknowns is currently investigated. A main advantage is that it allows non-conforming meshes Unfortunately spurious oscillations are observed near the singularities of the geometry. This will require a specific treatment.
Some examples:
A coated channel
The new well conditioned formulation has been compared to classical ones on the difficult case of a channel, whose coating is taken into account via an impedance boundary condition.
A micro-satellite
