@misc{10481/50151,
year = {2014},
url = {http://hdl.handle.net/10481/50151},
abstract = {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 ap-
plied 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 so-
lutions and the Montseny's LF2 technique. The results show that the CPLTS technique
improves the dispersive and dissipative properties of LF2-LTS scheme.},
organization = {The work described in this paper and the research leading to these results have re-
ceived funding from the European Community's Seventh Framework Programme FP7/2007-
2013, under grant agreement no 205294 (HIRF SE project), and from the Spanish Na-
tional Projects TEC2010-20841-C04-04, CSD2008-00068, and the Junta de Andalucia
Project P09-TIC-5327. The work of FLT has been supported by U.S. NSF under grants
0925272 and 1305838.},
keywords = {Causal Path},
keywords = {Local Time-Stepping},
keywords = {LTS},
keywords = {Discontinuous Galerkin Methods},
keywords = {Maxwell's equations},
keywords = {DGTD},
title = {Causal-Path Local Time-Stepping in the Discontinuous Galerkin Method for Maxwell’s equations},
doi = {j.jcp.2013.09.010},
author = {Díaz Angulo, Luis Manuel and Álvarez González, Jesús and Teixeira, Fernando and Rubio Bretones, Amelia Consuelo and González García, Salvador},
}