Causal-Path Local Time-Stepping in the Discontinuous Galerkin Method for Maxwell’s equations Díaz Angulo, Luis Manuel Álvarez González, Jesús Teixeira, Fernando Rubio Bretones, Amelia Consuelo González García, Salvador Causal Path Local Time-Stepping LTS Discontinuous Galerkin Methods Maxwell's equations DGTD 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. 2018-04-11T08:39:25Z 2018-04-11T08:39:25Z 2014 info:eu-repo/semantics/article Diaz Angulo, Luis; et. al. Causal-Path Local Time-Stepping in the Discontinuous Galerkin Method for Maxwell’s equations. Journal of Computational Physics, vol. 256, pp. 678-695, 2014 [http://hdl.handle.net/10481/50151] http://hdl.handle.net/10481/50151 j.jcp.2013.09.010 eng info:eu-repo/grantAgreement/EC/FP7/205294 http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License