28 citations · 128 across the 27 of their papers we have counts for
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physics.comp-ph2018★ 15 cited
A discontinuous Galerkin method for wave propagation in orthotropic poroelastic media with memory terms
Jiangming Xie, Miao-jung Yvonne Ou, Liwei Xu
In this paper, we investigate wave propagation in orthotropic poroelastic media by studying the time-domain poroelastic equations. Both the low frequency Biot's (LF-Biot) equations…
math.NA2018★ 3 cited
Analysis of an interior penalty DG method for the quad-curl problem
Gang Chen, Weifeng Qiu, Liwei Xu
The quad-curl term is an essential part of the resistive magnetohydrodynamic (MHD) equation and the fourth order inverse electromagnetic scattering problem, which are both of great…
math.NA2018
Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator
Gang Chen, Jintao Cui, Liwei Xu
In this paper, we study a hybridizable discontinuous Galerkin (HDG) method for the Maxwell operator. The only global unknowns are defined on the inter-element boundaries, and the n…