A Nodal Continuous-Discontinuous Galerkin Time-Domain Method for Maxwell's Equations

被引：12
|
作者：
Diaz Angulo, Luis [1 ]
Alvarez, Jesus [2 ]
Teixeira, Fernando L. [3 ,4 ]
Fernandez Pantoja, M. [1 ]
Garcia, Salvador G. [1 ]
机构：
[1] Univ Granada, Dept Electromagnetism, E-18071 Granada, Spain
[2] Airbus Def & Space, Getafe 28906, Spain
[3] Ohio State Univ, Electrosci Lab, Columbus, OH 43212 USA
[4] Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43212 USA
来源：
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES | 2015年 / 63卷 / 10期
基金：
美国国家科学基金会;
关键词：
Continuous-discontinuous Galerkin time-domain (CDGTD); continuous Galerkin (CG) method; discontinuous Galerkin (DG) method; discontinuous Galerkin time-domain (DGTD); Maxwell's equations; MIXED FINITE-ELEMENTS; RUNGE-KUTTA SCHEMES; LOW-STORAGE; ORDER; VECTOR;
D O I：
10.1109/TMTT.2015.2472411
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A new nodal hybrid continuous-discontinuous Galerkin time-domain (CDGTD) method for the solution of Maxwell's curl equations is proposed and analyzed. This hybridization is made by clustering small collections of elements with a continuous Galerkin (CG) formalism. These clusters exchange information with their exterior through a discontinuous Galerkin (DG) numerical flux. This scheme shows reduced numerical dispersion error with respect to classical DG formulations for certain orders and numbers of clustered elements. The spectral radius of the clustered semi-discretized operator is smaller than its DG counterpart allowing for larger time steps in explicit time integrators. 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-dimensional implementation.
引用
收藏
页码：3081 / 3093
页数：13
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