Edit Profile (opens in new tab) Feng, Xiaobing Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1029.65093Feng, Xiaobing; Prohl, Andreas 116 2003 Fully discrete finite element approximations of the Navier-Stokes–Cahn-Hilliard diffuse interface model for two-phase fluid flows. Zbl 1344.76052Feng, Xiaobing 104 2006 Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Zbl 1071.65128Feng, Xiaobing; Prohl, Andreas 72 2004 Discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1197.65181Feng, Xiaobing; Wu, Haijun 66 2009 Analysis of a Darcy–Cahn–Hilliard diffuse interface model for the Hele-Shaw flow and its fully discrete finite element approximation. Zbl 1426.76258Feng, Xiaobing; Wise, Steven 60 2012 \(hp\)-discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1228.65222Feng, Xiaobing; Wu, Haijun 58 2011 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 54 2013 Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations. Zbl 1134.35317Cummings, Peter; Feng, Xiaobing 51 2006 Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028Feng, Xiaobing; He, Yinnian; Liu, Chun 51 2007 Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems. Zbl 1007.65104Feng, Xiaobing; Karakashian, Ohannes A. 50 2001 Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method. Zbl 1195.65170Feng, Xiaobing; Neilan, Michael 44 2009 Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252Feng, Xiaobing; Neilan, Michael 43 2009 A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow. Zbl 1096.76025Feng, Xiaobing; Wu, Haijun 38 2005 On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media. Zbl 0856.35030Feng, Xiaobing 38 1995 Finite element approximations of the Ericksen-Leslie model for nematic liquid crystal flow. Zbl 1187.82130Becker, Roland; Feng, Xiaobing; Prohl, Andreas 38 2008 Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Zbl 1115.76049Feng, Xiaobing; Prohl, Andreas 36 2004 Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition. Zbl 1117.65130Feng, Xiaobing; Karakashian, Ohannes A. 35 2007 Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150Feng, Xiaobing; Prohl, Andreas 31 2005 Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen-Cahn equation and the mean curvature flow. Zbl 1328.65205Feng, Xiaobing; Li, Yukun 30 2015 A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1174.65035Feng, Xiaobing; Wu, Haijun 27 2008 Finite element methods for the stochastic Allen-Cahn equation with gradient-type multiplicative noise. Zbl 1357.65010Feng, Xiaobing; Li, Yukun; Zhang, Yi 25 2017 Analysis of Galerkin methods for the fully nonlinear Monge-Ampère equation. Zbl 1229.65213Feng, Xiaobing; Neilan, Michael 24 2011 Analysis of total variation flow and its finite element approximations. Zbl 1050.35004Feng, Xiaobing; Prohl, Andreas 23 2003 Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation. Zbl 1072.65161Feng, Xiaobing; Karakashian, Ohannes A. 23 2005 Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1276.65080Feng, Xiaobing; Xing, Yulong 23 2013 Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. Zbl 1362.65117Feng, Xiaobing; Jensen, Max 23 2017 Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1382.65314Feng, Xiaobing; Li, Yukun; Xing, Yulong 22 2016 The phase field method for geometric moving interfaces and their numerical approximations. Zbl 1455.35276Du, Qiang; Feng, Xiaobing 17 2020 Finite element methods for second order linear elliptic partial differential equations in non-divergence form. Zbl 1364.65247Feng, Xiaobing; Hennings, Lauren; Neilan, Michael 16 2017 A convergent and constraint-preserving finite element method for the \(p\)-harmonic flow into spheres. Zbl 1155.35055Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 15 2007 Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033Feng, X. 15 2000 An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213Feng, Xiaobing; Lin, Junshan; Lorton, Cody 14 2015 An absolutely stable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations with large wave number. Zbl 1315.78011Feng, Xiaobing; Wu, Haijun 13 2014 A modified characteristic finite element method for a fully nonlinear formulation of the semigeostrophic flow equations. Zbl 1410.86003Feng, Xiaobing; Neilan, Michael 13 2009 Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. Zbl 1290.65096Feng, Xiaobing; Kao, Chiu-Yen; Lewis, Thomas 12 2013 Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Zbl 1075.65114Feng, Xiaobing; von Oehsen, Markus; Prohl, Andreas 12 2005 Interior penalty discontinuous Galerkin methods for second order linear non-divergence form elliptic pdes. Zbl 1398.65298Feng, Xiaobing; Neilan, Michael; Schnake, Stefan 12 2018 Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media. Zbl 0822.35065Feng, Xiaobing 11 1994 Finite element approximations of the stochastic mean curvature flow of planar curves of graphs. Zbl 1300.65006Feng, Xiaobing; Li, Yukun; Prohl, Andreas 10 2014 Analysis of finite element methods and domain decomposition algorithms for a fluid-solid interaction problem. Zbl 0984.76046Feng, Xiaobing 10 2000 Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. Zbl 1333.65129Feng, Xiaobing; Lewis, Thomas; Neilan, Michael 9 2016 Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I. 9 2003 Fully discrete finite element approximations of a polymer gel model. Zbl 1218.82031Feng, Xiaobing; He, Yinnian 8 2010 Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082Barrett, John W.; Feng, Xiaobing; Prohl, Andreas 8 2006 High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. Zbl 1477.65254Feng, Xiaobing; Li, Buyang; Ma, Shu 8 2021 Analysis of a multiphysics finite element method for a poroelasticity model. Zbl 1406.65085Feng, Xiaobing; Ge, Zhihao; Li, Yukun 8 2018 A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number. Zbl 1342.65216Feng, Xiaobing; Lu, Peipei; Xu, Xuejun 8 2016 Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations. Zbl 1298.65171Feng, Xiaobing; Lewis, Thomas 7 2014 Absorbing boundary conditions for electromagnetic wave propagation. Zbl 0911.65125Feng, Xiaobing 7 1999 On \(p\)-harmonic map heat flows for \(1\leq p<\infty\) and their finite element approximations. Zbl 1182.35154Barrett, John W.; Feng, Xiaobing; Prohl, Andreas 7 2008 Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Zbl 1134.65078Feng, Xiaobing; Neilan, Michael; Prohl, Andreas 6 2007 Finite element approximations of wave maps into spheres. Zbl 1160.65050Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 6 2008 Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525Feng, X. 6 1996 Convergence of a fourth-order singular perturbation of the n-dimensional radially symmetric Monge-Ampère equation. Zbl 1295.35237Feng, Xiaobing; Neilan, Michael 5 2014 Finite element methods for a bi-wave equation modeling \(d\)-wave superconductors. Zbl 1224.65264Feng, Xiaobing; Neilan, Michael 5 2010 A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element. Zbl 0877.73061Bennethum, Lynn Schreyer; Feng, Xiaobing 5 1997 Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1309.65133Feng, Xiaobing; Lewis, Thomas 4 2014 Mixed interior penalty discontinuous Galerkin methods for one-dimensional fully nonlinear second order elliptic and parabolic equations. Zbl 1313.65263Feng, Xiaobing; Lewis, Thomas 4 2014 Discontinuous finite element methods for a bi-wave equation modeling \(d\)-wave superconductors. Zbl 1222.82085Feng, Xiaobing; Neilan, Michael 4 2011 Mass- and energy-conserved numerical schemes for nonlinear Schrödinger equations. Zbl 1473.65102Feng, Xiaobing; Liu, Hailiang; Ma, Shu 4 2019 Identification problem for the wave equation with Neumann data input and Dirichlet data observations. Zbl 1031.35148Feng, Xiaobing; Lenhart, Suzanne; Protopopescu, Vladimir; Rachele, Lizabeth; Sutton, Brian 4 2003 An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves. Zbl 0811.35021Feng, Xiaobing; Sheen, Dongwoo 4 1994 Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100Hu, Jianlan; Feng, X.; Li, Zhi 3 2000 An additive average Schwarz method for the plate bending problem. Zbl 1077.74557Feng, X.; Rahman, T. 3 2002 Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106Feng, Xiaobing; Prohl, Andreas 3 2004 A fully discrete mixed finite element method for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise. Zbl 1437.65186Feng, Xiaobing; Li, Yukun; Zhang, Yi 3 2020 Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1406.65110Feng, Xiaobing; Lewis, Thomas 3 2018 An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media. Zbl 1439.74152Feng, X.; Lorton, C. 2 2017 An elliptic regularity coefficient estimate for the equations of the motion for nearly elastic solids in the frequency domain. Zbl 0842.35015Feng, Xiaobing 2 1995 Analysis of two-level overlapping additive Schwarz preconditioners for a discontinuous Galerkin method. Zbl 1026.65121Feng, Xiaobing; Karakashian, Ohannes A. 2 2002 Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods. Zbl 0909.73076Feng, Xiaobing 2 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 2 2014 A narrow-stencil finite difference method for approximating viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 1468.65174Feng, Xiaobing; Lewis, Thomas 2 2021 A potential flow model with viscous dissipation based on a modified boundary element method. Zbl 1404.76177Feng, X.; Chen, Xiao-Bo; Dias, F. 2 2018 Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Zbl 1361.35061Feng, Xiaobing; Neilan, Michael 2 2014 An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency. Zbl 1368.78135Feng, Xiaobing; Lorton, Cody 2 2016 A multi-modes Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell’s equations with random coefficients. Zbl 1428.65080Feng, Xiaobing; Lin, Junshan; Lorton, Cody 2 2019 New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053Feng, X.; Mukai, H.; Brown, R. H. 1 1990 Two-level overlapping Schwarz methods for plate elements on unstructured meshes using non-matching coarse grids. Zbl 0971.74068Deng, Qingping; Feng, Xiaobing 1 1999 Mathematical analysis of a fluid-solid interaction problem. Zbl 1023.35023Feng, Xiaobing; Lee, Ping; Wei, Yuting 1 2001 Recent developments on modeling and analysis of flow of miscible fluids in porous media. Zbl 1033.35088Feng, Xiaobing 1 2002 Finite element approximation of the gradient flow for a class of linear growth energies with applications to color image denoising. Zbl 1165.65058Feng, Xiaobing; Yoon, Mun 1 2009 Divergence-\(L^{q}\) and divergence-measure tensor fields and gradient flows for linear growth functionals of maps into the unit sphere. Zbl 1184.35171Feng, Xiaobing 1 2010 A priori error estimates for a coupled finite element method and mixed finite element for a fluid-solid interaction problem. Zbl 1086.76037Feng, Xiaobing; Xie, Zhenghui 1 2004 Estimation of error variance via ridge regression. Zbl 1441.62187Liu, X.; Zheng, S.; Feng, X. 1 2020 Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Zbl 1449.60047Feng, X.; Lan, Y. 1 2019 A discontinuous Ritz method for a class of calculus of variations problems. Zbl 1408.65089Feng, Xiaobing; Schnake, Stefan 1 2019 GA based adaptive singularity-robust path planning of space robot for on-orbit detection. Zbl 1398.93251Wu, Jianwei; Bin, Deer; Feng, Xiaobing; Wen, Zhongpu; Zhang, Yin 1 2018 High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. Zbl 1477.65254Feng, Xiaobing; Li, Buyang; Ma, Shu 8 2021 A narrow-stencil finite difference method for approximating viscosity solutions of Hamilton-Jacobi-Bellman equations. Zbl 1468.65174Feng, Xiaobing; Lewis, Thomas 2 2021 The phase field method for geometric moving interfaces and their numerical approximations. Zbl 1455.35276Du, Qiang; Feng, Xiaobing 17 2020 A fully discrete mixed finite element method for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise. Zbl 1437.65186Feng, Xiaobing; Li, Yukun; Zhang, Yi 3 2020 Estimation of error variance via ridge regression. Zbl 1441.62187Liu, X.; Zheng, S.; Feng, X. 1 2020 Mass- and energy-conserved numerical schemes for nonlinear Schrödinger equations. Zbl 1473.65102Feng, Xiaobing; Liu, Hailiang; Ma, Shu 4 2019 A multi-modes Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell’s equations with random coefficients. Zbl 1428.65080Feng, Xiaobing; Lin, Junshan; Lorton, Cody 2 2019 Strong limit theorems for arrays of rowwise independent random variables under sublinear expectation. Zbl 1449.60047Feng, X.; Lan, Y. 1 2019 A discontinuous Ritz method for a class of calculus of variations problems. Zbl 1408.65089Feng, Xiaobing; Schnake, Stefan 1 2019 Interior penalty discontinuous Galerkin methods for second order linear non-divergence form elliptic pdes. Zbl 1398.65298Feng, Xiaobing; Neilan, Michael; Schnake, Stefan 12 2018 Analysis of a multiphysics finite element method for a poroelasticity model. Zbl 1406.65085Feng, Xiaobing; Ge, Zhihao; Li, Yukun 8 2018 Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1406.65110Feng, Xiaobing; Lewis, Thomas 3 2018 A potential flow model with viscous dissipation based on a modified boundary element method. Zbl 1404.76177Feng, X.; Chen, Xiao-Bo; Dias, F. 2 2018 GA based adaptive singularity-robust path planning of space robot for on-orbit detection. Zbl 1398.93251Wu, Jianwei; Bin, Deer; Feng, Xiaobing; Wen, Zhongpu; Zhang, Yin 1 2018 Finite element methods for the stochastic Allen-Cahn equation with gradient-type multiplicative noise. Zbl 1357.65010Feng, Xiaobing; Li, Yukun; Zhang, Yi 25 2017 Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. Zbl 1362.65117Feng, Xiaobing; Jensen, Max 23 2017 Finite element methods for second order linear elliptic partial differential equations in non-divergence form. Zbl 1364.65247Feng, Xiaobing; Hennings, Lauren; Neilan, Michael 16 2017 An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media. Zbl 1439.74152Feng, X.; Lorton, C. 2 2017 Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1382.65314Feng, Xiaobing; Li, Yukun; Xing, Yulong 22 2016 Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. Zbl 1333.65129Feng, Xiaobing; Lewis, Thomas; Neilan, Michael 9 2016 A hybridizable discontinuous Galerkin method for the time-harmonic Maxwell equations with high wave number. Zbl 1342.65216Feng, Xiaobing; Lu, Peipei; Xu, Xuejun 8 2016 An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency. Zbl 1368.78135Feng, Xiaobing; Lorton, Cody 2 2016 Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen-Cahn equation and the mean curvature flow. Zbl 1328.65205Feng, Xiaobing; Li, Yukun 30 2015 An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213Feng, Xiaobing; Lin, Junshan; Lorton, Cody 14 2015 An absolutely stable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations with large wave number. Zbl 1315.78011Feng, Xiaobing; Wu, Haijun 13 2014 Finite element approximations of the stochastic mean curvature flow of planar curves of graphs. Zbl 1300.65006Feng, Xiaobing; Li, Yukun; Prohl, Andreas 10 2014 Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations. Zbl 1298.65171Feng, Xiaobing; Lewis, Thomas 7 2014 Convergence of a fourth-order singular perturbation of the n-dimensional radially symmetric Monge-Ampère equation. Zbl 1295.35237Feng, Xiaobing; Neilan, Michael 5 2014 Mixed interior penalty discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions. Zbl 1309.65133Feng, Xiaobing; Lewis, Thomas 4 2014 Mixed interior penalty discontinuous Galerkin methods for one-dimensional fully nonlinear second order elliptic and parabolic equations. Zbl 1313.65263Feng, Xiaobing; Lewis, Thomas 4 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 2 2014 Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Zbl 1361.35061Feng, Xiaobing; Neilan, Michael 2 2014 Recent developments in numerical methods for fully nonlinear second order partial differential equations. Zbl 1270.65062Feng, Xiaobing; Glowinski, Roland; Neilan, Michael 54 2013 Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1276.65080Feng, Xiaobing; Xing, Yulong 23 2013 Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. Zbl 1290.65096Feng, Xiaobing; Kao, Chiu-Yen; Lewis, Thomas 12 2013 Analysis of a Darcy–Cahn–Hilliard diffuse interface model for the Hele-Shaw flow and its fully discrete finite element approximation. Zbl 1426.76258Feng, Xiaobing; Wise, Steven 60 2012 \(hp\)-discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1228.65222Feng, Xiaobing; Wu, Haijun 58 2011 Analysis of Galerkin methods for the fully nonlinear Monge-Ampère equation. Zbl 1229.65213Feng, Xiaobing; Neilan, Michael 24 2011 Discontinuous finite element methods for a bi-wave equation modeling \(d\)-wave superconductors. Zbl 1222.82085Feng, Xiaobing; Neilan, Michael 4 2011 Fully discrete finite element approximations of a polymer gel model. Zbl 1218.82031Feng, Xiaobing; He, Yinnian 8 2010 Finite element methods for a bi-wave equation modeling \(d\)-wave superconductors. Zbl 1224.65264Feng, Xiaobing; Neilan, Michael 5 2010 Divergence-\(L^{q}\) and divergence-measure tensor fields and gradient flows for linear growth functionals of maps into the unit sphere. Zbl 1184.35171Feng, Xiaobing 1 2010 Discontinuous Galerkin methods for the Helmholtz equation with large wave number. Zbl 1197.65181Feng, Xiaobing; Wu, Haijun 66 2009 Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method. Zbl 1195.65170Feng, Xiaobing; Neilan, Michael 44 2009 Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations. Zbl 1203.65252Feng, Xiaobing; Neilan, Michael 43 2009 A modified characteristic finite element method for a fully nonlinear formulation of the semigeostrophic flow equations. Zbl 1410.86003Feng, Xiaobing; Neilan, Michael 13 2009 Finite element approximation of the gradient flow for a class of linear growth energies with applications to color image denoising. Zbl 1165.65058Feng, Xiaobing; Yoon, Mun 1 2009 Finite element approximations of the Ericksen-Leslie model for nematic liquid crystal flow. Zbl 1187.82130Becker, Roland; Feng, Xiaobing; Prohl, Andreas 38 2008 A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1174.65035Feng, Xiaobing; Wu, Haijun 27 2008 On \(p\)-harmonic map heat flows for \(1\leq p<\infty\) and their finite element approximations. Zbl 1182.35154Barrett, John W.; Feng, Xiaobing; Prohl, Andreas 7 2008 Finite element approximations of wave maps into spheres. Zbl 1160.65050Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 6 2008 Analysis of finite element approximations of a phase field model for two-phase fluids. Zbl 1111.76028Feng, Xiaobing; He, Yinnian; Liu, Chun 51 2007 Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition. Zbl 1117.65130Feng, Xiaobing; Karakashian, Ohannes A. 35 2007 A convergent and constraint-preserving finite element method for the \(p\)-harmonic flow into spheres. Zbl 1155.35055Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas 15 2007 Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Zbl 1134.65078Feng, Xiaobing; Neilan, Michael; Prohl, Andreas 6 2007 Fully discrete finite element approximations of the Navier-Stokes–Cahn-Hilliard diffuse interface model for two-phase fluid flows. Zbl 1344.76052Feng, Xiaobing 104 2006 Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations. Zbl 1134.35317Cummings, Peter; Feng, Xiaobing 51 2006 Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082Barrett, John W.; Feng, Xiaobing; Prohl, Andreas 8 2006 A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow. Zbl 1096.76025Feng, Xiaobing; Wu, Haijun 38 2005 Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150Feng, Xiaobing; Prohl, Andreas 31 2005 Two-level non-overlapping Schwarz preconditioners for a discontinuous Galerkin approximation of the biharmonic equation. Zbl 1072.65161Feng, Xiaobing; Karakashian, Ohannes A. 23 2005 Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Zbl 1075.65114Feng, Xiaobing; von Oehsen, Markus; Prohl, Andreas 12 2005 Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Zbl 1071.65128Feng, Xiaobing; Prohl, Andreas 72 2004 Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Zbl 1115.76049Feng, Xiaobing; Prohl, Andreas 36 2004 Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106Feng, Xiaobing; Prohl, Andreas 3 2004 A priori error estimates for a coupled finite element method and mixed finite element for a fluid-solid interaction problem. Zbl 1086.76037Feng, Xiaobing; Xie, Zhenghui 1 2004 Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093Feng, Xiaobing; Prohl, Andreas 116 2003 Analysis of total variation flow and its finite element approximations. Zbl 1050.35004Feng, Xiaobing; Prohl, Andreas 23 2003 Concentration of pulp fibers in 3D turbulent channel flow. Zbl 1136.76495Dong, S.; Feng, X.; Salcudean, M.; Gartshore, I. 9 2003 Identification problem for the wave equation with Neumann data input and Dirichlet data observations. Zbl 1031.35148Feng, Xiaobing; Lenhart, Suzanne; Protopopescu, Vladimir; Rachele, Lizabeth; Sutton, Brian 4 2003 An additive average Schwarz method for the plate bending problem. Zbl 1077.74557Feng, X.; Rahman, T. 3 2002 Analysis of two-level overlapping additive Schwarz preconditioners for a discontinuous Galerkin method. Zbl 1026.65121Feng, Xiaobing; Karakashian, Ohannes A. 2 2002 Recent developments on modeling and analysis of flow of miscible fluids in porous media. Zbl 1033.35088Feng, Xiaobing 1 2002 Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems. Zbl 1007.65104Feng, Xiaobing; Karakashian, Ohannes A. 50 2001 Mathematical analysis of a fluid-solid interaction problem. Zbl 1023.35023Feng, Xiaobing; Lee, Ping; Wei, Yuting 1 2001 Exploratory approach to explicit solution of nonlinear evolution equations. Zbl 0962.35033Feng, X. 15 2000 Analysis of finite element methods and domain decomposition algorithms for a fluid-solid interaction problem. Zbl 0984.76046Feng, Xiaobing 10 2000 Exact traveling wave solutions of some nonlinear physical models. I: The fifth order KdV type equations. Zbl 0968.35100Hu, Jianlan; Feng, X.; Li, Zhi 3 2000 Absorbing boundary conditions for electromagnetic wave propagation. Zbl 0911.65125Feng, Xiaobing 7 1999 Two-level overlapping Schwarz methods for plate elements on unstructured meshes using non-matching coarse grids. Zbl 0971.74068Deng, Qingping; Feng, Xiaobing 1 1999 Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods. Zbl 0909.73076Feng, Xiaobing 2 1998 A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element. Zbl 0877.73061Bennethum, Lynn Schreyer; Feng, Xiaobing 5 1997 Exact wave front solutions to two generalized coupled nonlinear physical equations. Zbl 0972.35525Feng, X. 6 1996 On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media. Zbl 0856.35030Feng, Xiaobing 38 1995 An elliptic regularity coefficient estimate for the equations of the motion for nearly elastic solids in the frequency domain. Zbl 0842.35015Feng, Xiaobing 2 1995 Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media. Zbl 0822.35065Feng, Xiaobing 11 1994 An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves. Zbl 0811.35021Feng, Xiaobing; Sheen, Dongwoo 4 1994 New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. Zbl 0696.90053Feng, X.; Mukai, H.; Brown, R. H. 1 1990 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year