## Feng, Xiaobing

Compute Distance To:
 Author ID: feng.xiaobing Published as: Feng, Xiaobing; Feng, XiaoBing; Feng, X. more...less
 Documents Indexed: 116 Publications since 1985 3 Contributions as Editor Co-Authors: 69 Co-Authors with 89 Joint Publications 2,129 Co-Co-Authors
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### Co-Authors

 14 single-authored 15 Prohl, Andreas 13 Neilan, Michael 9 Lewis, Thomas Lee 7 Li, Yukun 5 Karakashian, Ohannes A. 5 Wu, Haijun 4 Lorton, Cody 4 Schnake, Stefan 3 Barrett, John W. 3 Lin, Junshan 3 Ma, Shu 3 Xing, Yulong 2 Bartels, Sören 2 Cui, Huimin 2 He, Yinnian 2 Hu, Jianlan 2 Schulze, Tim P. 2 Sutton, Mitchell 2 Vo, Liet 2 Xie, Zhenghui 1 Alexiades, Vasilios 1 Becker, Roland 1 Bin, Deer 1 Brown, Ronald H. 1 Cai, Li 1 Chen, Hongtao 1 Chen, Xiaobo 1 Deng, Qingping 1 Du, Qiang 1 Gao, Hao 1 Gao, Lin 1 Gao, Yingcai 1 Gartshore, I. S. 1 Ge, Zhihao 1 Glowinski, Roland 1 Hennings, Lauren 1 Jensen, Max 1 Jiang, Hongshan 1 Jin, LeSheng 1 Kao, Chiu-Yen 1 Lee, Ping 1 Lenhart, Suzanne M. 1 Li, Buyang 1 Liu, Chun 1 Liu, Hailiang 1 Lu, Peipei 1 Luo, Xiaoyu 1 Luo, Yan 1 Mesiar, Radko 1 Nicholls, David P. 1 Protopopescu, Vladimir A. 1 Pu, XingTing 1 Qiao, Ruliang 1 Qiu, Hailong 1 Rachele, Lizabeth V. 1 Rahman, Talal 1 Rapp, Aaron 1 Salcudean, M. 1 Schreyer Bennethum, Lynn 1 Sheen, Dongwoo 1 Shi, Xuelin 1 Song, Liye 1 Sutton, Brian D. 1 Velinsky, Steven A. 1 von Oehsen, Markus 1 Wang, Yongheng 1 Wang, Zhu 1 Wei, Yuting 1 Wen, Zhongpu 1 Wise, Steven M. 1 Wu, Chenggang 1 Wu, Jianwei 1 Xu, Xuejun 1 Yager, Ronald R. 1 Yoon, Miun 1 Yoon, Mun 1 Zhang, Yin 1 Zhang, Zhaoqing 1 Zhang, Zhimin 1 Zhao, Jiacheng
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### Serials

 17 SIAM Journal on Numerical Analysis 13 Journal of Scientific Computing 8 Mathematics of Computation 5 IMA Journal of Numerical Analysis 4 Numerische Mathematik 4 Journal of Computational Mathematics 3 Communications in Computational Physics 2 Applicable Analysis 2 Journal of Computational and Applied Mathematics 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Methods in Applied Mathematics 2 Journal of Software 2 International Journal of Numerical Analysis and Modeling 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Multiphase Flow 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 Biometrika 1 Journal of Optimization Theory and Applications 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 Differential and Integral Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Dynamic Systems, Measurement and Control 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Methods and Applications of Analysis 1 Advances in Computational Mathematics 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Interfaces and Free Boundaries 1 Journal of Modern Optics 1 Journal of Numerical Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Computational Acoustics 1 Iranian Journal of Fuzzy Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Contemporary Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 SIAM/ASA Journal on Uncertainty Quantification 1 Nonlinear Analysis. Theory, Methods & Applications 1 Communications on Applied Mathematics and Computation
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### Fields

 89 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 18 Mechanics of deformable solids (74-XX) 9 Optics, electromagnetic theory (78-XX) 6 Probability theory and stochastic processes (60-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 1,557 times in 938 Documents Cited by Year
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
2003
Fully discrete finite element approximations of the Navier-Stokes–Cahn-Hilliard diffuse interface model for two-phase fluid flows. Zbl 1344.76052
Feng, Xiaobing
2006
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Zbl 1071.65128
Feng, Xiaobing; Prohl, Andreas
2004
Discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1197.65181
Feng, Xiaobing; Wu, Haijun
2009
Analysis of a Darcy–Cahn–Hilliard diffuse interface model for the Hele-Shaw flow and its fully discrete finite element approximation. Zbl 1426.76258
Feng, Xiaobing; Wise, Steven
2012
$$hp$$-discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1228.65222
Feng, Xiaobing; Wu, Haijun
2011
Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062
Feng, Xiaobing; Glowinski, Roland; Neilan, Michael
2013
Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations. Zbl 1134.35317
Cummings, Peter; Feng, Xiaobing
2006
Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028
Feng, Xiaobing; He, Yinnian; Liu, Chun
2007
Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems. Zbl 1007.65104
Feng, Xiaobing; Karakashian, Ohannes A.
2001
Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method. Zbl 1195.65170
Feng, Xiaobing; Neilan, Michael
2009
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252
Feng, Xiaobing; Neilan, Michael
2009
A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow. Zbl 1096.76025
Feng, Xiaobing; Wu, Haijun
2005
On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media. Zbl 0856.35030
Feng, Xiaobing
1995
Finite element approximations of the Ericksen-Leslie model for nematic liquid crystal flow. Zbl 1187.82130
Becker, Roland; Feng, Xiaobing; Prohl, Andreas
2008
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Zbl 1115.76049
Feng, Xiaobing; Prohl, Andreas
2004
Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition. Zbl 1117.65130
Feng, Xiaobing; Karakashian, Ohannes A.
2007
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150
Feng, Xiaobing; Prohl, Andreas
2005
Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen-Cahn equation and the mean curvature flow. Zbl 1328.65205
Feng, Xiaobing; Li, Yukun
2015
A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1174.65035
Feng, Xiaobing; Wu, Haijun
2008
Finite element methods for the stochastic Allen-Cahn equation with gradient-type multiplicative noise. Zbl 1357.65010
Feng, Xiaobing; Li, Yukun; Zhang, Yi
2017
Analysis of Galerkin methods for the fully nonlinear Monge-Ampère equation. Zbl 1229.65213
Feng, Xiaobing; Neilan, Michael
2011
Analysis of total variation flow and its finite element approximations. Zbl 1050.35004
Feng, Xiaobing; Prohl, Andreas
2003
Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation. Zbl 1072.65161
Feng, Xiaobing; Karakashian, Ohannes A.
2005
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1276.65080
Feng, Xiaobing; Xing, Yulong
2013
Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. Zbl 1362.65117
Feng, Xiaobing; Jensen, Max
2017
Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1382.65314
Feng, Xiaobing; Li, Yukun; Xing, Yulong
2016
The phase field method for geometric moving interfaces and their numerical approximations. Zbl 1455.35276
Du, Qiang; Feng, Xiaobing
2020
Finite element methods for second order linear elliptic partial differential equations in non-divergence form. Zbl 1364.65247
Feng, Xiaobing; Hennings, Lauren; Neilan, Michael
2017
A convergent and constraint-preserving finite element method for the $$p$$-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2007
Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033
Feng, X.
2000
An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213
Feng, Xiaobing; Lin, Junshan; Lorton, Cody
2015
An absolutely stable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations with large wave number. Zbl 1315.78011
Feng, Xiaobing; Wu, Haijun
2014
A modified characteristic finite element method for a fully nonlinear formulation of the semigeostrophic flow equations. Zbl 1410.86003
Feng, Xiaobing; Neilan, Michael
2009
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. Zbl 1290.65096
Feng, Xiaobing; Kao, Chiu-Yen; Lewis, Thomas
2013
Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Zbl 1075.65114
Feng, Xiaobing; von Oehsen, Markus; Prohl, Andreas
2005
Interior penalty discontinuous Galerkin methods for second order linear non-divergence form elliptic pdes. Zbl 1398.65298
Feng, Xiaobing; Neilan, Michael; Schnake, Stefan
2018
Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media. Zbl 0822.35065
Feng, Xiaobing
1994
Finite element approximations of the stochastic mean curvature flow of planar curves of graphs. Zbl 1300.65006
Feng, Xiaobing; Li, Yukun; Prohl, Andreas
2014
Analysis of finite element methods and domain decomposition algorithms for a fluid-solid interaction problem. Zbl 0984.76046
Feng, Xiaobing
2000
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. Zbl 1333.65129
Feng, Xiaobing; Lewis, Thomas; Neilan, Michael
2016
Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495
Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I.
2003
Fully discrete finite element approximations of a polymer gel model. Zbl 1218.82031
Feng, Xiaobing; He, Yinnian
2010
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2006
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. Zbl 1477.65254
Feng, Xiaobing; Li, Buyang; Ma, Shu
2021
Analysis of a multiphysics finite element method for a poroelasticity model. Zbl 1406.65085
Feng, Xiaobing; Ge, Zhihao; Li, Yukun
2018
A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number. Zbl 1342.65216
Feng, Xiaobing; Lu, Peipei; Xu, Xuejun
2016
Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations. Zbl 1298.65171
Feng, Xiaobing; Lewis, Thomas
2014
Absorbing boundary conditions for electromagnetic wave propagation. Zbl 0911.65125
Feng, Xiaobing
1999
On $$p$$-harmonic map heat flows for $$1\leq p<\infty$$ and their finite element approximations. Zbl 1182.35154
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2008
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Zbl 1134.65078
Feng, Xiaobing; Neilan, Michael; Prohl, Andreas
2007
Finite element approximations of wave maps into spheres. Zbl 1160.65050
Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2008
Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525
Feng, X.
1996
Convergence of a fourth-order singular perturbation of the n-dimensional radially symmetric Monge-Ampère equation. Zbl 1295.35237
Feng, Xiaobing; Neilan, Michael
2014
Finite element methods for a bi-wave equation modeling $$d$$-wave superconductors. Zbl 1224.65264
Feng, Xiaobing; Neilan, Michael
2010
A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element. Zbl 0877.73061
Bennethum, Lynn Schreyer; Feng, Xiaobing
1997
Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1309.65133
Feng, Xiaobing; Lewis, Thomas
2014
Mixed interior penalty discontinuous Galerkin methods for one-dimensional fully nonlinear second order elliptic and parabolic equations. Zbl 1313.65263
Feng, Xiaobing; Lewis, Thomas
2014
Discontinuous finite element methods for a bi-wave equation modeling $$d$$-wave superconductors. Zbl 1222.82085
Feng, Xiaobing; Neilan, Michael
2011
Mass- and energy-conserved numerical schemes for nonlinear Schrödinger equations. Zbl 1473.65102
Feng, Xiaobing; Liu, Hailiang; Ma, Shu
2019
Identification problem for the wave equation with Neumann data input and Dirichlet data observations. Zbl 1031.35148
Feng, Xiaobing; Lenhart, Suzanne; Protopopescu, Vladimir; Rachele, Lizabeth; Sutton, Brian
2003
An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves. Zbl 0811.35021
Feng, Xiaobing; Sheen, Dongwoo
1994
Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100
Hu, Jianlan; Feng, X.; Li, Zhi
2000
An additive average Schwarz method for the plate bending problem. Zbl 1077.74557
Feng, X.; Rahman, T.
2002
Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106
Feng, Xiaobing; Prohl, Andreas
2004
A fully discrete mixed finite element method for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise. Zbl 1437.65186
Feng, Xiaobing; Li, Yukun; Zhang, Yi
2020
Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1406.65110
Feng, Xiaobing; Lewis, Thomas
2018
An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media. Zbl 1439.74152
Feng, X.; Lorton, C.
2017
An elliptic regularity coefficient estimate for the equations of the motion for nearly elastic solids in the frequency domain. Zbl 0842.35015
Feng, Xiaobing
1995
Analysis of two-level overlapping additive Schwarz preconditioners for a discontinuous Galerkin method. Zbl 1026.65121
Feng, Xiaobing; Karakashian, Ohannes A.
2002
Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods. Zbl 0909.73076
Feng, Xiaobing
1998
Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. Zbl 1279.65005
2014
A narrow-stencil finite difference method for approximating viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 1468.65174
Feng, Xiaobing; Lewis, Thomas
2021
A potential flow model with viscous dissipation based on a modified boundary element method. Zbl 1404.76177
Feng, X.; Chen, Xiao-Bo; Dias, F.
2018
Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Zbl 1361.35061
Feng, Xiaobing; Neilan, Michael
2014
An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency. Zbl 1368.78135
Feng, Xiaobing; Lorton, Cody
2016
A multi-modes Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell’s equations with random coefficients. Zbl 1428.65080
Feng, Xiaobing; Lin, Junshan; Lorton, Cody
2019
New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053
Feng, X.; Mukai, H.; Brown, R. H.
1990
Two-level overlapping Schwarz methods for plate elements on unstructured meshes using non-matching coarse grids. Zbl 0971.74068
Deng, Qingping; Feng, Xiaobing
1999
Mathematical analysis of a fluid-solid interaction problem. Zbl 1023.35023
Feng, Xiaobing; Lee, Ping; Wei, Yuting
2001
Recent developments on modeling and analysis of flow of miscible fluids in porous media. Zbl 1033.35088
Feng, Xiaobing
2002
Finite element approximation of the gradient flow for a class of linear growth energies with applications to color image denoising. Zbl 1165.65058
Feng, Xiaobing; Yoon, Mun
2009
Divergence-$$L^{q}$$ and divergence-measure tensor fields and gradient flows for linear growth functionals of maps into the unit sphere. Zbl 1184.35171
Feng, Xiaobing
2010
A priori error estimates for a coupled finite element method and mixed finite element for a fluid-solid interaction problem. Zbl 1086.76037
Feng, Xiaobing; Xie, Zhenghui
2004
Estimation of error variance via ridge regression. Zbl 1441.62187
Liu, X.; Zheng, S.; Feng, X.
2020
Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Zbl 1449.60047
Feng, X.; Lan, Y.
2019
A discontinuous Ritz method for a class of calculus of variations problems. Zbl 1408.65089
Feng, Xiaobing; Schnake, Stefan
2019
GA based adaptive singularity-robust path planning of space robot for on-orbit detection. Zbl 1398.93251
Wu, Jianwei; Bin, Deer; Feng, Xiaobing; Wen, Zhongpu; Zhang, Yin
2018
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. Zbl 1477.65254
Feng, Xiaobing; Li, Buyang; Ma, Shu
2021
A narrow-stencil finite difference method for approximating viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 1468.65174
Feng, Xiaobing; Lewis, Thomas
2021
The phase field method for geometric moving interfaces and their numerical approximations. Zbl 1455.35276
Du, Qiang; Feng, Xiaobing
2020
A fully discrete mixed finite element method for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise. Zbl 1437.65186
Feng, Xiaobing; Li, Yukun; Zhang, Yi
2020
Estimation of error variance via ridge regression. Zbl 1441.62187
Liu, X.; Zheng, S.; Feng, X.
2020
Mass- and energy-conserved numerical schemes for nonlinear Schrödinger equations. Zbl 1473.65102
Feng, Xiaobing; Liu, Hailiang; Ma, Shu
2019
A multi-modes Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell’s equations with random coefficients. Zbl 1428.65080
Feng, Xiaobing; Lin, Junshan; Lorton, Cody
2019
Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Zbl 1449.60047
Feng, X.; Lan, Y.
2019
A discontinuous Ritz method for a class of calculus of variations problems. Zbl 1408.65089
Feng, Xiaobing; Schnake, Stefan
2019
Interior penalty discontinuous Galerkin methods for second order linear non-divergence form elliptic pdes. Zbl 1398.65298
Feng, Xiaobing; Neilan, Michael; Schnake, Stefan
2018
Analysis of a multiphysics finite element method for a poroelasticity model. Zbl 1406.65085
Feng, Xiaobing; Ge, Zhihao; Li, Yukun
2018
Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1406.65110
Feng, Xiaobing; Lewis, Thomas
2018
A potential flow model with viscous dissipation based on a modified boundary element method. Zbl 1404.76177
Feng, X.; Chen, Xiao-Bo; Dias, F.
2018
GA based adaptive singularity-robust path planning of space robot for on-orbit detection. Zbl 1398.93251
Wu, Jianwei; Bin, Deer; Feng, Xiaobing; Wen, Zhongpu; Zhang, Yin
2018
Finite element methods for the stochastic Allen-Cahn equation with gradient-type multiplicative noise. Zbl 1357.65010
Feng, Xiaobing; Li, Yukun; Zhang, Yi
2017
Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. Zbl 1362.65117
Feng, Xiaobing; Jensen, Max
2017
Finite element methods for second order linear elliptic partial differential equations in non-divergence form. Zbl 1364.65247
Feng, Xiaobing; Hennings, Lauren; Neilan, Michael
2017
An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media. Zbl 1439.74152
Feng, X.; Lorton, C.
2017
Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1382.65314
Feng, Xiaobing; Li, Yukun; Xing, Yulong
2016
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. Zbl 1333.65129
Feng, Xiaobing; Lewis, Thomas; Neilan, Michael
2016
A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number. Zbl 1342.65216
Feng, Xiaobing; Lu, Peipei; Xu, Xuejun
2016
An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency. Zbl 1368.78135
Feng, Xiaobing; Lorton, Cody
2016
Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen-Cahn equation and the mean curvature flow. Zbl 1328.65205
Feng, Xiaobing; Li, Yukun
2015
An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213
Feng, Xiaobing; Lin, Junshan; Lorton, Cody
2015
An absolutely stable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations with large wave number. Zbl 1315.78011
Feng, Xiaobing; Wu, Haijun
2014
Finite element approximations of the stochastic mean curvature flow of planar curves of graphs. Zbl 1300.65006
Feng, Xiaobing; Li, Yukun; Prohl, Andreas
2014
Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations. Zbl 1298.65171
Feng, Xiaobing; Lewis, Thomas
2014
Convergence of a fourth-order singular perturbation of the n-dimensional radially symmetric Monge-Ampère equation. Zbl 1295.35237
Feng, Xiaobing; Neilan, Michael
2014
Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1309.65133
Feng, Xiaobing; Lewis, Thomas
2014
Mixed interior penalty discontinuous Galerkin methods for one-dimensional fully nonlinear second order elliptic and parabolic equations. Zbl 1313.65263
Feng, Xiaobing; Lewis, Thomas
2014
Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. Zbl 1279.65005
2014
Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Zbl 1361.35061
Feng, Xiaobing; Neilan, Michael
2014
Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062
Feng, Xiaobing; Glowinski, Roland; Neilan, Michael
2013
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1276.65080
Feng, Xiaobing; Xing, Yulong
2013
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. Zbl 1290.65096
Feng, Xiaobing; Kao, Chiu-Yen; Lewis, Thomas
2013
Analysis of a Darcy–Cahn–Hilliard diffuse interface model for the Hele-Shaw flow and its fully discrete finite element approximation. Zbl 1426.76258
Feng, Xiaobing; Wise, Steven
2012
$$hp$$-discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1228.65222
Feng, Xiaobing; Wu, Haijun
2011
Analysis of Galerkin methods for the fully nonlinear Monge-Ampère equation. Zbl 1229.65213
Feng, Xiaobing; Neilan, Michael
2011
Discontinuous finite element methods for a bi-wave equation modeling $$d$$-wave superconductors. Zbl 1222.82085
Feng, Xiaobing; Neilan, Michael
2011
Fully discrete finite element approximations of a polymer gel model. Zbl 1218.82031
Feng, Xiaobing; He, Yinnian
2010
Finite element methods for a bi-wave equation modeling $$d$$-wave superconductors. Zbl 1224.65264
Feng, Xiaobing; Neilan, Michael
2010
Divergence-$$L^{q}$$ and divergence-measure tensor fields and gradient flows for linear growth functionals of maps into the unit sphere. Zbl 1184.35171
Feng, Xiaobing
2010
Discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1197.65181
Feng, Xiaobing; Wu, Haijun
2009
Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method. Zbl 1195.65170
Feng, Xiaobing; Neilan, Michael
2009
Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252
Feng, Xiaobing; Neilan, Michael
2009
A modified characteristic finite element method for a fully nonlinear formulation of the semigeostrophic flow equations. Zbl 1410.86003
Feng, Xiaobing; Neilan, Michael
2009
Finite element approximation of the gradient flow for a class of linear growth energies with applications to color image denoising. Zbl 1165.65058
Feng, Xiaobing; Yoon, Mun
2009
Finite element approximations of the Ericksen-Leslie model for nematic liquid crystal flow. Zbl 1187.82130
Becker, Roland; Feng, Xiaobing; Prohl, Andreas
2008
A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1174.65035
Feng, Xiaobing; Wu, Haijun
2008
On $$p$$-harmonic map heat flows for $$1\leq p<\infty$$ and their finite element approximations. Zbl 1182.35154
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2008
Finite element approximations of wave maps into spheres. Zbl 1160.65050
Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2008
Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028
Feng, Xiaobing; He, Yinnian; Liu, Chun
2007
Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition. Zbl 1117.65130
Feng, Xiaobing; Karakashian, Ohannes A.
2007
A convergent and constraint-preserving finite element method for the $$p$$-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2007
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Zbl 1134.65078
Feng, Xiaobing; Neilan, Michael; Prohl, Andreas
2007
Fully discrete finite element approximations of the Navier-Stokes–Cahn-Hilliard diffuse interface model for two-phase fluid flows. Zbl 1344.76052
Feng, Xiaobing
2006
Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations. Zbl 1134.35317
Cummings, Peter; Feng, Xiaobing
2006
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2006
A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow. Zbl 1096.76025
Feng, Xiaobing; Wu, Haijun
2005
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150
Feng, Xiaobing; Prohl, Andreas
2005
Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation. Zbl 1072.65161
Feng, Xiaobing; Karakashian, Ohannes A.
2005
Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Zbl 1075.65114
Feng, Xiaobing; von Oehsen, Markus; Prohl, Andreas
2005
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Zbl 1071.65128
Feng, Xiaobing; Prohl, Andreas
2004
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Zbl 1115.76049
Feng, Xiaobing; Prohl, Andreas
2004
Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106
Feng, Xiaobing; Prohl, Andreas
2004
A priori error estimates for a coupled finite element method and mixed finite element for a fluid-solid interaction problem. Zbl 1086.76037
Feng, Xiaobing; Xie, Zhenghui
2004
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
2003
Analysis of total variation flow and its finite element approximations. Zbl 1050.35004
Feng, Xiaobing; Prohl, Andreas
2003
Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495
Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I.
2003
Identification problem for the wave equation with Neumann data input and Dirichlet data observations. Zbl 1031.35148
Feng, Xiaobing; Lenhart, Suzanne; Protopopescu, Vladimir; Rachele, Lizabeth; Sutton, Brian
2003
An additive average Schwarz method for the plate bending problem. Zbl 1077.74557
Feng, X.; Rahman, T.
2002
Analysis of two-level overlapping additive Schwarz preconditioners for a discontinuous Galerkin method. Zbl 1026.65121
Feng, Xiaobing; Karakashian, Ohannes A.
2002
Recent developments on modeling and analysis of flow of miscible fluids in porous media. Zbl 1033.35088
Feng, Xiaobing
2002
Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems. Zbl 1007.65104
Feng, Xiaobing; Karakashian, Ohannes A.
2001
Mathematical analysis of a fluid-solid interaction problem. Zbl 1023.35023
Feng, Xiaobing; Lee, Ping; Wei, Yuting
2001
Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033
Feng, X.
2000
Analysis of finite element methods and domain decomposition algorithms for a fluid-solid interaction problem. Zbl 0984.76046
Feng, Xiaobing
2000
Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100
Hu, Jianlan; Feng, X.; Li, Zhi
2000
Absorbing boundary conditions for electromagnetic wave propagation. Zbl 0911.65125
Feng, Xiaobing
1999
Two-level overlapping Schwarz methods for plate elements on unstructured meshes using non-matching coarse grids. Zbl 0971.74068
Deng, Qingping; Feng, Xiaobing
1999
Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods. Zbl 0909.73076
Feng, Xiaobing
1998
A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element. Zbl 0877.73061
Bennethum, Lynn Schreyer; Feng, Xiaobing
1997
Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525
Feng, X.
1996
On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media. Zbl 0856.35030
Feng, Xiaobing
1995
An elliptic regularity coefficient estimate for the equations of the motion for nearly elastic solids in the frequency domain. Zbl 0842.35015
Feng, Xiaobing
1995
Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media. Zbl 0822.35065
Feng, Xiaobing
1994
An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves. Zbl 0811.35021
Feng, Xiaobing; Sheen, Dongwoo
1994
New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053
Feng, X.; Mukai, H.; Brown, R. H.
1990
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### Cited by 1,232 Authors

 44 Feng, Xiaobing 35 Yang, Xiaofeng 19 Bartels, Sören 19 He, Yinnian 17 Neilan, Michael 16 Nochetto, Ricardo Horacio 14 Wang, Cheng 14 Wise, Steven M. 13 Guillén González, Francisco M. 13 Sun, Weiwei 13 Wu, Haijun 12 Brenner, Susanne Cecelia 12 Kim, Junseok 12 Li, Yukun 12 Prohl, Andreas 11 Han, Daozhi 11 Shen, Jie 10 Chen, Wenbin 10 Lewis, Thomas Lee 9 Antonietti, Paola Francesca 9 Grasselli, Maurizio 9 Huang, Yunqing 9 Li, Buyang 9 Wang, Xiaoming 8 Chen, Chuanjun 8 Du, Qiang 8 Gallistl, Dietmar 8 Garcke, Harald 8 Nürnberg, Robert 8 Spence, Euan A. 8 Tachim Medjo, Theodore 8 Zhang, Wujun 7 Du, Yu 7 Georgoulis, Emmanuil H. 7 Ju, Lili 7 Li, Huanrong 7 Perugia, Ilaria 7 Qiu, Weifeng 7 Xu, Xuejun 7 Xu, Yan 7 Yi, Nianyu 7 Zhao, Jia 6 Awanou, Gerard Michel 6 Baňas, Ľubomír 6 Chung, Tsz Shun Eric 6 Deugoue, Gabriel 6 Feng, Wenqiang 6 Feng, Xinlong 6 Gal, Ciprian Gheorghe Sorin 6 Gander, Martin Jakob 6 Glowinski, Roland 6 Gutiérrez-Santacreu, Juan Vicente 6 He, Xiaoming 6 Jeong, Darae 6 Jia, Hongen 6 Liu, Chun 6 Lu, Peipei 6 Rivière, Beatrice M. 6 Salgado, Abner J. 6 Sauter, Stefan A. 6 Shi, Dongyang 6 Walker, Shawn W. 6 Wang, Qi 6 Zhu, Lingxue 5 Caboussat, Alexandre 5 Carstensen, Carsten 5 Chen, Huangxin 5 Chen, Yaoyao 5 Diegel, Amanda E. 5 Ge, Zhihao 5 Hiptmair, Ralf 5 Kawecki, Ellya L. 5 Kou, Jisheng 5 Lam, Kei Fong 5 Lee, Hyun Geun 5 Li, Xiaoli 5 Li, Yibao 5 Miranville, Alain M. 5 Moiola, Andrea 5 Pan, Kejia 5 Rueda-Gómez, Diego Armando 5 Sheen, Dongwoo 5 Süli, Endre E. 5 Wang, Kun 5 Wu, Hao 4 Amirat, Youcef Aït 4 Cangiani, Andrea 4 Cheng, Kelong 4 Dehghan Takht Fooladi, Mehdi 4 Droniou, Jérôme 4 Froese Hamfeldt, Brittany 4 Froese, Brittany D. 4 Giorgini, Andrea 4 Graham, Ivan G. 4 Gudi, Thirupathi 4 Guo, Ruihan 4 Hu, Qiya 4 Huang, Jianguo 4 Huang, Xuehai 4 Lasarzik, Robert ...and 1,132 more Authors
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### Cited in 152 Serials

 94 Journal of Scientific Computing 72 Journal of Computational Physics 56 Journal of Computational and Applied Mathematics 42 Computers & Mathematics with Applications 42 Mathematics of Computation 42 SIAM Journal on Numerical Analysis 39 Numerische Mathematik 35 Computer Methods in Applied Mechanics and Engineering 30 Applied Numerical Mathematics 29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 SIAM Journal on Scientific Computing 19 Communications in Computational Physics 18 Journal of Mathematical Analysis and Applications 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Applied Mathematics and Computation 14 Numerical Methods for Partial Differential Equations 11 Advances in Computational Mathematics 10 Numerical Algorithms 10 Communications on Pure and Applied Analysis 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics Letters 8 Journal of Differential Equations 8 International Journal of Numerical Analysis and Modeling 7 Calcolo 7 International Journal of Computer Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Computational and Applied Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 Foundations of Computational Mathematics 6 Advances in Applied Mathematics and Mechanics 6 Communications on Applied Mathematics and Computation 5 Applicable Analysis 5 European Journal of Applied Mathematics 5 Mathematical Problems in Engineering 5 Archives of Computational Methods in Engineering 5 Computational Methods in Applied Mathematics 4 Computers and Fluids 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Mathematical Analysis 4 SIAM/ASA Journal on Uncertainty Quantification 3 Applied Mathematics and Optimization 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 Chinese Annals of Mathematics. Series B 3 Computational Mechanics 3 Journal of Mathematical Imaging and Vision 3 Journal of Mathematical Fluid Mechanics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Geosciences 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. Series S 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 AIMS Mathematics 3 Electronic Research Archive 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Biology 2 Nonlinearity 2 Physica A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 BIT 2 Computing 2 Journal of Functional Analysis 2 Mathematics and Computers in Simulation 2 Transactions of the American Mathematical Society 2 Journal of Computational Mathematics 2 Physica D 2 Asymptotic Analysis 2 Japan Journal of Industrial and Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Numerical Linear Algebra with Applications 2 Annales Mathématiques Blaise Pascal 2 ETNA. Electronic Transactions on Numerical Analysis 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 Computing and Visualization in Science 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. B. Fluids 2 Journal of Evolution Equations 2 Journal of Numerical Mathematics 2 Stochastics and Dynamics 2 Multiscale Modeling & Simulation 2 Structural and Multidisciplinary Optimization 2 Inverse Problems and Imaging 2 SIAM Journal on Imaging Sciences 2 Numerical Mathematics: Theory, Methods and Applications 1 Bulletin of the Australian Mathematical Society 1 Journal of Fluid Mechanics 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Stochastic Analysis and Applications 1 Acta Mathematicae Applicatae Sinica. English Series ...and 52 more Serials
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### Cited in 35 Fields

 750 Numerical analysis (65-XX) 591 Partial differential equations (35-XX) 252 Fluid mechanics (76-XX) 83 Mechanics of deformable solids (74-XX) 50 Optics, electromagnetic theory (78-XX) 50 Statistical mechanics, structure of matter (82-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 38 Probability theory and stochastic processes (60-XX) 27 Biology and other natural sciences (92-XX) 24 Classical thermodynamics, heat transfer (80-XX) 14 Computer science (68-XX) 12 Information and communication theory, circuits (94-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Differential geometry (53-XX) 10 Geophysics (86-XX) 9 Systems theory; control (93-XX) 8 Real functions (26-XX) 7 Potential theory (31-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 6 Operations research, mathematical programming (90-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX)