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Updated: Dec 22, 2025
Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
EM modelling of arbitrary shaped anisotropic dielectric objects using an efficient 3D leapfrog scheme on unstructured
A Gansen1, M El Hachemi1, S Belouettar1
11Luxembourg Institute of Science and Technology (LIST), 5, avenue des Hauts-Fourneaux, 4362 Esch/Alzette, Luxembourg.
Abstract:
The standard Yee algorithm is widely used in computational electromagnetics because of its simplicity and divergence free nature. A generalization of the classical Yee scheme to 3D unstructured meshes is adopted, based on the use of a Delaunay primal mesh and its high quality Voronoi dual. This allows the problem of accuracy losses, which are normally associated with the use of the standard Yee scheme and a staircased representation of curved material interfaces, to be circumvented. The 3D dual mesh leapfrog-scheme which is presented has the ability to model both electric and magnetic anisotropic lossy materials. This approach enables the modelling of problems, of current practical interest, involving structured composites and metamaterials.
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