Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwell's equations

  title={Causal-Path Local Time-Stepping in the discontinuous Galerkin method for Maxwell's equations},
  author={L. D. Angulo and J. Alvarez and Fernando L. Teixeira and Amelia Rubio Bretones and Salvador G. Garcia},
  journal={J. Comput. Physics},
We introduce a novel local time-stepping technique for marching-in-time algorithms. The technique is denoted as Causal-Path Local Time-Stepping (CPLTS) and it is applied for two time integration techniques: fourth order low–storage explicit Runge–Kutta (LSERK4) and second order Leapfrog (LF2). The CPLTS method is applied to evolve Maxwell’s curl equations using a Discontinuous Galerkin (DG) scheme for the spatial discretization. Numerical results for LF2 and LSERK4 are compared with analytical… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 33 references

Nodal Discontinuous Galerkin Methods: Algorithms

J. S. Hesthaven, T. Warburton
Analysis, and Applications, 1st Edition, Springer Publishing Company, Incorporated • 2007
View 7 Excerpts
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A comparison of the fdtd and lfdg methods for the estimation of hirf transfer functions

J. Alvarez, L. D. Angulo, A. R. Bretones, S. G. Garcia
in: Proceedings on Computational ElectroMagnetics And Electromagnetic Compatibility 2013 (CEMEMC13) • 2013
View 1 Excerpt


D. Sarmany, M. Botchev
van der Vegt, Time-integration methods for finite element discretisations of the second-order maxwell equation, Computers & Mathematics with Applications 65 (3) • 2013

A discontinuous Galerkin method with Lagrange multipliers to solve vector electromagnetic problems in two dimensions

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