Abstract
In [3] and [2], we considered the numerical solution to the time-dependent Maxwell equations in the absence of charges in a 2D non-convex domain, using the so-called singular complement method (SCM), for which the computed fields are continuous. In this paper, we present an extension of the SCM, which allows to solve efficiently the time-dependent Maxwell equations with charges, with almost no additional computational cost. Thus, the numerical solution to the Vlasov-Maxwell system of equations can be achieved by coupling the SCM to a particle solver.
| Translated title of the contribution | The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain |
|---|---|
| Original language | English |
| Pages (from-to) | 391-396 |
| Number of pages | 6 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 330 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Mar 2000 |
| Externally published | Yes |