@misc{10481/50193,
year = {2015},
url = {http://hdl.handle.net/10481/50193},
abstract = {A  new  nodal  hybrid  continuous-discontinuous
Galerkin time-domain (CDGTD) method for the solution of
Maxwell's curl equations is proposed and analyzed. This hy-
bridization is made by clustering small collections of elements with
a continuous Galerkin (CG) formalism. These cluste
rs exchange
information with their exterior through a discontinuous Galerkin
(DG) numerical flux. This scheme shows reduced numerical dis-
persion error with respect to classical DG formul
ations for certain
orders and numbers of clustered e
lements. The spectral radius
of the clustered semi-discretized operator is smaller than its DG
counterpart allowing for larger time steps in e
xplicit time integra-
tors. Additionally, the continuity across the element boundaries
allows us a reduction of the number of degrees of freedom of up to
about 80% for a low-order three-dimensi
onal implementation.},
organization = {This work was supported in part by
the National Projects under Grant TEC2010-20841-C04-04, Grant TEC2013-
48414-C3-1-R, Grant CSD2008-00068, Grant P09-TIC-5327, and Grant P12-
TIC-1442, the GENIL Excellence Network, and the National Science Founda-
tion under Grant ECCE-1305838},
keywords = {Continuous-discontinuous Galerkin time-domain},
keywords = {Continuous Galerkin method},
keywords = {Discontinuous Galerkin method},
keywords = {Discontinuous Galerkin time-domain},
keywords = {Maxwell's equations},
title = {A Nodal Hybrid Continuous-Discontinuous Galerkin Time Domain Method for Maxwell’s Curl Equations},
doi = {10.1109/TMTT.2015.2472411},
author = {Díaz Angulo, Luis Manuel and Alvarez Gonzalez, Jesús and Teixeira, Fernando and Fernández Pantoja, Mario Alberto and González García, Salvador},
}