28 citations · 128 across the 27 of their papers we have counts for
10 papers · 1 filter
Big-Data Clustering: K-Means or K-Indicators?
Feiyu Chen, Yuchen Yang, Liwei Xu +2
The K-means algorithm is arguably the most popular data clustering method, commonly applied to processed datasets in some "feature spaces", as is in spectral clustering. Highly sen…
An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem
Yingda Cheng, Jing Huang, Xiaozhou Li +1
In this paper, we consider numerical solutions of a time domain acoustic-elastic wave interaction problem which occurs between a bounded penetrable elastic body and a compressible…
A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations
Gang Chen, Liangya Pi, Liwei Xu +1
In this paper, we first devise an ensemble hybridizable discontinuous Galerkin (HDG) method to efficiently simulate a group of parameterized convection diffusion PDEs. These PDEs h…
A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in 2D nonsmooth and nonconvex domains
Buyang Li, Jilu Wang, Liwei Xu
A new fully discrete linearized -conforming Lagrange finite element method is proposed for solving the two-dimensional magneto-hydrodynamics equations based on a magnetic pote…
A hybridizable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations
Gang Chen, Haijun Wu, Liwei Xu
In this paper, we aim to develop a hybridizable discontinuous Galerkin (HDG) method for the indefinite time-harmonic Maxwell equations with the perfectly conducting boundary in the…
A hybridizable discontinuous Galerkin method for the quad-curl problem
Gang Chen, Jintao Cui, Liwei Xu
The quad-curl problem arises in magnetohydrodynamics, inverse electromagnetic scattering and transform eigenvalue problems. In this paper we investigate a hybridizable discontinuou…
Weighted integral solvers for elastic scattering by open arcs in two dimensions
Oscar P. Bruno, Liwei Xu, Tao Yin
We present a novel approach for the numerical solution of problems of elastic scattering by open arcs in two dimensions. Our methodology relies on the composition of weighted versi…
A CDG-FE method for the two-dimensional Green-Naghdi model with the enhanced dispersive property
Maojun Li, Liwei Xu, Yongping Cheng
In this work, we investigate numerical solutions of the two-dimensional shallow water wave using a fully nonlinear Green-Naghdi model with an improved dispersive effect. For the pu…
Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions
Gang Bao, Liwei Xu, Tao Yin
In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensio…
Numerical simulation of a coupled system of Maxwell equations and a gas dynamic model
Maohui Lyu, Weng Cho Chew, Lijun Jiang +2
It is known that both linear and nonlinear optical phenomena can be produced when the plasmon in metallic nanostructures are excited by the external electromagnetic waves. In this…