Liwei Xu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Macroscopic auxiliary asymptotic preserving neural networks for the linear radiative transfer equations	2024	Hongyan Li Song Jiang Wenjun Sun Liwei Xu Guanyu Zhou
+ PDF Chat	A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems	2023	Wangtao Lu Liwei Xu Tao Yin Lu Zhang
+ PDF Chat	Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn–Hilliard-Magnetohydrodynamics system of equations	2023	Cheng Wang Jilu Wang Steven M. Wise Zeyu Xia Liwei Xu
+ PDF Chat	Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations	2022	Cheng Wang Jilu Wang Zeyu Xia Liwei Xu
+ PDF Chat	High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow	2021	Zeyu Xia Cheng Wang Liwei Xu Zhengru Zhang
+ PDF Chat	An extended sampling-ensemble Kalman filter approach for partial data inverse elastic problems	2021	Zhaoxing Li Jiguang Sun Liwei Xu
+ PDF Chat	Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods	2021	Liwei Xu Tao Yin
+ PDF Chat	A Hybridizable Discontinuous Galerkin Method for the Quad-Curl Problem	2021	Gang Chen Jintao Cui Liwei Xu
+ PDF Chat	Weighted integral solvers for elastic scattering by open arcs in two dimensions	2021	Oscar P. Bruno Liwei Xu Tao Yin
+ PDF Chat	Quality-Bayesian Approach to Inverse Acoustic Source Problems with Partial Data	2021	Zhaoxing Li Yanfang Liu Jiguang Sun Liwei Xu
+ PDF Chat	A Bayesian level set method for an inverse medium scattering problem in acoustics	2021	Jiangfeng Huang Zhi-Liang Deng Liwei Xu
+ PDF Chat	An Accurate HyperSingular Boundary Integral Equation Method for Dynamic Poroelasticity in Two Dimensions	2021	Lu Zhang Liwei Xu Tao Yin
+	On the generalized Calderón formulas for closed- and open-surface elastic scattering problems	2021	Liwei Xu Tao Yin
+	A decoupled scheme with second-order temporal accuracy for magnetohydrodynamic equations.	2020	Cheng Wang Jilu Wang Zeyu Xia Liwei Xu
+ PDF Chat	Analysis of an interior penalty DG method for the quad-curl problem	2020	Gang Chen Weifeng Qiu Liwei Xu
+	Bayesian approach for inverse interior scattering problems with limited aperture	2020	Jiangfeng Huang Zhi-Liang Deng Liwei Xu
+ PDF Chat	Numerical simulation of a coupled system of Maxwell equations and a gas dynamic model	2020	Maohui Lyu Weng Cho Chew Lijun Jiang Maojun Li Liwei Xu
+ PDF Chat	A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains	2020	Buyang Li Jilu Wang Liwei Xu
+	Quality-Bayesian approach to inverse acoustic source problems with partial data	2020	Zhaoxing Li Yanfang Liu Jiguang Sun Liwei Xu
+ PDF Chat	Efficient finite difference methods for the nonlinear Helmholtz equation in Kerr medium	2020	Xuefei He Kun Wang Liwei Xu
+	An accurate hyper-singular boundary integral equation method for dynamic poroelasticity in two dimensions	2020	Lu Zhang Liwei Xu Tao Yin
+	An extended sampling-ensemble Kalman filter approach for partial data inverse elastic problems	2020	Zhaoxing Li Jiguang Sun Liwei Xu
+	Optimal error estimates of a second-order projection finite element method for magnetohydrodynamic equations	2020	Cheng Wang Jilu Wang Zeyu Xia Liwei Xu
+ PDF Chat	A CDG-FE method for the two-dimensional Green-Naghdi model with the enhanced dispersive property	2019	Maojun Li Liwei Xu Yongping Cheng
+ PDF Chat	A discontinuous Galerkin method for wave propagation in orthotropic poroelastic media with memory terms	2019	Jiangming Xie Miao‐Jung Yvonne Ou Liwei Xu
+ PDF Chat	Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions	2019	Gang Bao Liwei Xu Tao Yin
+	An interior penalty discontinuous Galerkin method for the time-domain acoustic-elastic wave interaction problem.	2019	Yingda Cheng Jing Huang Xiaozhou Li Liwei Xu
+	A high order discontinuous Galerkin method for the coupled Maxwell and gas dynamic model	2019	Maohui Lyu Weng Cho Chew Lijun Jiang Maojun Li Liwei Xu
+	Weighted integral solvers for elastic scattering by open arcs in two dimensions	2019	Oscar P. Bruno Liwei Xu Tao Yin
+	Maximum-Principle-Satisfying and Positivity-Preserving High Order Central DG Methods on Unstructured Overlapping Meshes for Two-Dimensional Hyperbolic Conservation Laws	2019	Maojun Li Haiyun Dong Binbin Hu Liwei Xu
+	A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in 2D nonsmooth and nonconvex domains	2019	Buyang Li Jilu Wang Liwei Xu
+	A hybridizable discontinuous Galerkin method for the quad-curl problem	2019	Gang Chen Jintao Cui Liwei Xu
+	A hybridizable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations	2019	Gang Chen Jintao Cui Haijun Wu Liwei Xu
+	A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations	2019	Gang Chen Liangya Pi Liwei Xu Yangwen Zhang
+ PDF Chat	Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator	2019	Gang Chen Jintao Cui Liwei Xu
+ PDF Chat	A Superconvergent Ensemble HDG Method for Parameterized Convection Diffusion Equations	2019	Gang Chen Liangya Pi Liwei Xu Yangwen Zhang
+	Analysis of a mixed finite element method for the quad-curl problem	2018	Gang Chen Weifeng Qiu Liwei Xu
+	Anlysis of Hybridizable discontinuous Galerkin finite element method for time-harmonic Maxwell's equations Part I: Zero Frequency	2018	Gang Chen Jintao Cui Liwei Xu
+	Analysis of a hybridizable discontinuous Galerkin method for the Maxwell operator	2018	Gang Chen Jintao Cui Liwei Xu
+	Analysis of an interior penalty DG method for the quad-curl problem	2018	Gang Chen Weifeng Qiu Liwei Xu
+ PDF Chat	An accurate boundary element method for the exterior elastic scattering problem in two dimensions	2017	Gang Bao Liwei Xu Tao Yin
+ PDF Chat	Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem	2017	Tao Yin George C. Hsiao Liwei Xu
+	A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations	2016	Maojun Li Philippe Guyenne Fengyan Li Liwei Xu
+	A priori error estimates of the DtN-FEM: fluid-solid interaction problems	2016	Tao Yin Liwei Xu
+ PDF Chat	The reciprocity gap method for a cavity in an inhomogeneous medium	2016	Fang Zeng Xiaodong Liu Jiguang Sun Liwei Xu
+ PDF Chat	A spectral projection method for transmission eigenvalues	2016	Fang Zeng Jiguang Sun Liwei Xu
+	Near-field Imaging Point-like Scatterers and Extended Elastic Solid in a Fluid	2016	Tao Yin Guanghui Hu Liwei Xu
+	Near-field imaging of obstacles with the factorization method: Fluid-solid interaction	2016	Tao Yin Guanghui Hu Liwei Xu Bo Zhang
+	Reciprocity gap method for an interior inverse scattering problem	2016	Fang Zeng Xiaodong Liu Jiguang Sun Liwei Xu
+	Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws	2016	Maojun Li Fengyan Li Zhen Li Liwei Xu
+	Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods	2016	Liwei Xu Tao Yin
+	Near-field imaging of obstacles with the factorization method: fluid–solid interaction	2015	Tao Yin Guanghui Hu Liwei Xu Bo Zhang
+	Boundary integral equation methods for the two dimensional fluid-solid interaction problem	2015	Tao Yin George C. Hsiao Liwei Xu
+	High order well-balanced CDG–FE methods for shallow water waves by a Green–Naghdi model	2013	Maojun Li Philippe Guyenne Fengyan Li Liwei Xu
+	Computation of Maxwell’s transmission eigenvalues and its applications in inverse medium problems	2013	Jiguang Sun Liwei Xu
+	Positivity-preserving DG and central DG methods for ideal MHD equations	2013	Yue Cheng Fengyan Li Jianxian Qiu Liwei Xu
+	Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations	2012	Sergey Yakovlev Liwei Xu Fengyan Li
+	Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis	2011	George C. Hsiao Nilima Nigam Joseph E. Pasciak Liwei Xu
+	On the variational formulation of a transmission problem for the Biot equations	2010	Robert P. Gilbert George C. Hsiao Liwei Xu
+	Numerical simulation of three-dimensional nonlinear water waves	2009	Liwei Xu Philippe Guyenne

Common Coauthors

Coauthor	Papers Together
Tao Yin	16
Jiguang Sun	8
Maojun Li	7
Jilu Wang	6
Jintao Cui	6
Gang Chen	6
Fengyan Li	5
Zeyu Xia	5
George C. Hsiao	4
Zhaoxing Li	4
Guanghui Hu	3
Weifeng Qiu	3
Philippe Guyenne	3
Cheng Wang	3
Fang Zeng	3
Maohui Lyu	2
Gang Bao	2
Yangwen Zhang	2
Lijun Jiang	2
Zhi-Liang Deng	2
Liangya Pi	2
Lu Zhang	2
Bo Zhang	2
Jiangfeng Huang	2
Xiaodong Liu	2
Weng Cho Chew	2
Buyang Li	2
Gang Chen	2
Oscar P. Bruno	2
Sergey Yakovlev	1
Hongyan Li	1
Wenjun Sun	1
Song Jiang	1
Cheng Wang	1
Yanfang Liu	1
Xiaozhou Li	1
Cheng Wang	1
Gang Chen	1
Guanyu Zhou	1
Gang Chen	1
Joseph E. Pasciak	1
Wangtao Lu	1
Robert P. Gilbert	1
Xuefei He	1
Yue Cheng	1
Yingda Cheng	1
Zhen Li	1
Haiyun Dong	1
Jiangming Xie	1
Jing Huang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Inverse Acoustic and Electromagnetic Scattering Theory	2012	David Colton Rainer Kreß	14
+ PDF Chat	Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem	2017	Tao Yin George C. Hsiao Liwei Xu	9
+	The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V	1998	Bernardo Cockburn Chi‐Wang Shu	9
+	Strong Stability-Preserving High-Order Time Discretization Methods	2001	Sigal Gottlieb Chi‐Wang Shu Eitan Tadmor	8
+ PDF Chat	Finite element methods for Maxwell’s equations	2020	Peter Monk Yangwen Zhang	8
+	Fluid–Solid Interaction: Acoustic Scattering by a Smooth Elastic Obstacle	1995	C. J. Luke P. A. Martin	7
+ PDF Chat	Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction	2007	Yingjie Liu Chi‐Wang Shu Eitan Tadmor Mengping Zhang	7
+ PDF Chat	Inverse problems: A Bayesian perspective	2010	Andrew M. Stuart	6
+	Extended-Sampling-Bayesian Method for Limited Aperture Inverse Scattering Problems	2020	Zhaoxing Li Zhi-Liang Deng Jiguang Sun	6
+	A stabilized finite element method for the incompressible magnetohydrodynamic equations	2000	Jean-Frédéric Gerbeau	6
+ PDF Chat	An accurate boundary element method for the exterior elastic scattering problem in two dimensions	2017	Gang Bao Liwei Xu Tao Yin	6
+	Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations	1996	F. Armero J.C. Simo	5
+	A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations	2009	Fengyan Li Sergey Yakovlev	5
+ PDF Chat	Some mathematical questions related to the mhd equations	1983	Michel Sermange Roger Témam	5
+	On the numerical solution of a hypersingular integral equation in scattering theory	1995	Rainer Kreß	5
+	Direct and inverse elastic scattering from anisotropic media	2018	Gang Bao Guanghui Hu Jiguang Sun Tao Yin	5
+	Convergence of a Finite Difference Scheme for Two-Dimensional Incompressible Magnetohydrodynamics	2016	J.K. Ridder	5
+ PDF Chat	A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations	2018	Huadong Gao Weifeng Qiu	5
+	Singularities of the quad curl problem	2018	Serge Nicaise	5
+ PDF Chat	A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains	2020	Buyang Li Jilu Wang Liwei Xu	5
+	<i>A priori</i>estimates and optimal finite element approximation of the MHD flow in smooth domains	2018	Yinnian He Jun Zou	5
+ PDF Chat	A mixed FEM for the quad-curl eigenvalue problem	2015	Jiguang Sun	5
+	An Analysis of Infinite Dimensional Bayesian Inverse Shape Acoustic Scattering and Its Numerical Approximation	2014	Tan Bui‐Thanh Omar Ghattas	4
+	Statistical and Computational Inverse Problems	2005	Jari P. Kaipio Erkki Somersalo	4
+ PDF Chat	Finite Element Methods for Maxwell's Equations	2003	Peter Monk	4
+ PDF Chat	An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number	2014	Xiaobing Feng Haijun Wu	4
+	Finite Element Methods for Maxwell's Transmission Eigenvalues	2012	Peter Monk Jiguang Sun	4
+ PDF Chat	Spectral properties of the Neumann–Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system	2017	Kazunori Ando Yong-Gwan Ji Hyeonbae Kang Kyoungsun Kim Sanghyeon Yu	4
+ PDF Chat	Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation	2015	Amanda E. Diegel Cheng Wang Steven M. Wise	4
+	Global small solutions of 2-D incompressible MHD system	2015	Fanghua Lin Li Xu Ping Zhang	4
+ PDF Chat	A discontinuous Galerkin method for wave propagation in orthotropic poroelastic media with memory terms	2019	Jiangming Xie Miao‐Jung Yvonne Ou Liwei Xu	4
+	Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes	2003	R. M. Samelson Roger Témam Cheng Wang Shouhong Wang	4
+ PDF Chat	Extended Sampling Method for Inverse Elastic Scattering Problems Using One Incident Wave	2019	Jing Liu X. Liu Jiguang Sun	4
+ PDF Chat	Regularized integral equation methods for elastic scattering problems in three dimensions	2020	Oscar P. Bruno Tao Yin	4
+ PDF Chat	STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS	2011	Ralf Hiptmair Andrea Moiola Ilaria Perugia	4
+	Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations	2005	Fengyan Li Chi‐Wang Shu	4
+	Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions	1997	Paolo Fernandes Gianni Gilardi	4
+	Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case	2014	Fanghua Lin Ping Zhang	4
+ PDF Chat	The Factorization Method for Inverse Problems	2007	Andreas Kirsch N I Grinberg	4
+	Positivity-preserving DG and central DG methods for ideal MHD equations	2013	Yue Cheng Fengyan Li Jianxian Qiu Liwei Xu	4
+	On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes	2010	Xiangxiong Zhang Chi‐Wang Shu	4
+ PDF Chat	Extended sampling method in inverse scattering	2018	Juan Liu Jiguang Sun	4
+	High order well-balanced CDG–FE methods for shallow water waves by a Green–Naghdi model	2013	Maojun Li Philippe Guyenne Fengyan Li Liwei Xu	4
+	On the regularity criteria for weak solutions to the magnetohydrodynamic equations	2007	He Cheng Yun Wang	4
+ PDF Chat	A Superconvergent HDG Method for the Maxwell Equations	2016	Huangxin Chen Weifeng Qiu Ke Shi Manuel Solano	4
+	Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations	2011	Cheng Wang Xiangxiong Zhang Chi‐Wang Shu Jianguo Ning	3
+	MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster	2013	Simon L. Cotter Gareth O. Roberts Andrew M. Stuart David White	3
+	A direct sampling method to an inverse medium scattering problem	2012	Kazufumi Ito Bangti Jin Jun Zou	3
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	3
+ PDF Chat	<i>L</i><sup>2</sup>stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods	2008	Yingjie Liu Chi‐Wang Shu Eitan Tadmor Mengping Zhang	3