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DGFEM Maxwell Equations

Discontinuous Galerkin finite element method (DGFEM) for Maxwell Equations. Work in progress. Currently, the 1D Maxwell equations for a single polarization are implemented:

N|Solid

Dependencies

  • numpy
  • numba
  • matplotlib

Bibliography

Discontinuous Galerkin finite element method (DGFEM):

  • J. S. Hesthaven and T. Warburton, Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications. Springer, 2008.

Concept of fluxes in connection with the finite-volume method:

  • R. LeVeque, Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002.

Low-storage explicit Runge-Kutta (LSERK):

  • J. H. Williamson. Low-storage Runge-Kutta schemes. Journal of Computational Physics, 35:48–56, 1980.
  • Lobão, Diomar Cesar. "Low storage explicit Runge-Kutta method". Semina-ciencias Agrarias 40 (2019): 123-128.

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Discontinuous Galerkin finite element method (DGFEM) for Maxwell Equations

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