Edge element solvers for 3D electromagnetics

Numerical methods and mathematical models of Elmer
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Edge element solvers for 3D electromagnetics

Post by raback » 21 Dec 2018, 14:34

Hi All,

One of the strengths of Elmer are the Hcurl conforming elements (both 1st and 2nd degree) which allow optimal solution of many electromagnetic problems in 3D. The advantage of Hcurl (or edge) elements is that they only enforce continuity of tangential component over interfaces which is often the desired physical model. One cannot use standard nodal elements for many problems involving material interfaces.

After recent developments the set of edge elements solvers (in Elmer v. 8.4) is now more complete. It consists of
  • WhitneyAVSolver for steady-state/transient low-frequency problems
  • WhitneyAVHarmonicSolver for harmonic low-frequency problems
  • VectorHelmholtzSolver for harmonic electromagnetic waves
  • EMWaveSolver for transient electromagnetic waves
The last one is still undocumeted and not too extensively tested.

For more info on the latest release see

We hope that the development of the models continues even next year. There seems to be also an increasing community effort to utilize these models. We welcome all the efforts to push Elmer to new application areas.


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