Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations

  title={Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations},
  author={B. Kov{\'a}cs and C. Lubich},
  journal={Numerische Mathematik},
  • B. Kovács, C. Lubich
  • Published 2017
  • Mathematics, Computer Science
  • Numerische Mathematik
  • Maxwell’s equations are considered with transparent boundary conditions, for initial conditions and inhomogeneity having support in a bounded, not necessarily convex three-dimensional domain or in a collection of such domains. The numerical method only involves the interior domain and its boundary. The transparent boundary conditions are imposed via a time-dependent boundary integral operator that is shown to satisfy a coercivity property. The stability of the numerical method relies on this… CONTINUE READING
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