Please use this identifier to cite or link to this item:
|Title:||Space-time discontinuous Galerkin method for Maxwell's equations|
|Keywords:||Discontinuous Galerkin method|
|Source:||Xie, Z., Wang, B., Zhang, Z. (2013-10). Space-time discontinuous Galerkin method for Maxwell's equations. Communications in Computational Physics 14 (4) : 916-939. ScholarBank@NUS Repository. https://doi.org/10.4208/cicp.230412.271212a|
|Abstract:||A fully discrete discontinuous Galerkin method is introduced for solving time-dependent Maxwell's equations. Distinguished from the Runge-Kutta discontinuous Galerkin method (RKDG) and the finite element time domain method (FETD), in our scheme, discontinuous Galerkinmethods are used to discretize not only the spatial domain but also the temporal domain. The proposed numerical scheme is proved to be unconditionally stable, and a convergent rate script O sign((Δt)r+1 + hk+1/2) is established under the L2-normwhen polynomials of degree atmost r and k are used for temporal and spatial approximation, respectively. Numerical results in both 2-D and 3-D are provided to validate the theoretical prediction. An ultra-convergence of order (Δt)2r+1 in time step is observed numerically for the numerical fluxes w.r.t. temporal variable at the grid points. © 2013 Global-Science Press.|
|Source Title:||Communications in Computational Physics|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 17, 2018
WEB OF SCIENCETM
checked on Dec 11, 2017
checked on Jan 21, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.