Multirate technique for explicit discontinuous galerkin computations of time-domain maxwell equations on complex geometries
(2016) IEEE Transactions on Magnetics — Vol. 52, n° 3, p. 1-4 (2016)
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- Abstract
- This paper presents a multirate technique to improve and optimize the time step of a second-order two-stage explicit Runge-Kutta (ERK) scheme. In this technique, the mesh elements are stored in different groups according to their stable time steps. These groups are sorted into two classes: 1) the bulk groups, where the two-stage ERK method is applied once or repeatedly; 2) the buffer groups that are used to accommodate the transition between two bulk groups. This technique is proposed for accelerating the explicit discontinuous Galerkin computations of the time-domain Maxwell equations. An application example on a human skull is proposed to show the efficiency of this technique and to simulate wave propagation on complex geometries.
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Kameni, A., Seny, B., & Pichon, L. (2016). Multirate technique for explicit discontinuous galerkin computations of time-domain maxwell equations on complex geometries. IEEE Transactions on Magnetics, 52(3), 1-4. https://doi.org/10.1109/tmag.2015.2480537 (Original work published 2016)