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ORCIDXiaobing Feng 0001
Person information
- affiliation: University of Tennessee, Knoxville, Department of Mathematics
Other persons with the same name
- Xiaobing Feng — disambiguation page
- Xiaobing Feng 0002
![[0000-0003-2909-7750]](https://dblp.org/img/orcid-mark.12x12.png "0000-0003-2909-7750")
— Chinese Academy of Sciences, Institute of Computing Technology, State Key Lab of Computer Architecture, Beijing, China (and 1 more) - Xiaobing Feng 0003 — Chinese Academy of Science, Institute of Computing Technology, Beijing, China
- Xiaobing Feng 0004 — University of Nottingham, Faculty of Engineering, Manufacturing Metrology Team, UK (and 1 more)
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2020 – today
- 2022
[j55]Xiaobing Feng, Yan Luo, Liet Vo, Zhu Wang:
An Efficient Iterative Method for Solving Parameter-Dependent and Random Convection-Diffusion Problems. J. Sci. Comput. 90(1): 72 (2022)- [j54]Zihao Yang, Jizu Huang, Xiaobing Feng, Xiaofei Guan:
An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials. SIAM J. Sci. Comput. 44(1): 1752- (2022) - [i10]Xiaobing Feng, Thomas L. Lewis, Kellie Ward:
A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs. CoRR abs/2202.12782 (2022) - [i9]Xiaobing Feng, Akash Ashirbad Panda, Andreas Prohl:
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise. CoRR abs/2205.07393 (2022) - [i8]Xiaobing Feng, Liet Vo:
High moment and pathwise error estimates for fully discrete mixed finite element approximattions of stochastic Navier-Stokes equations with additive noise. CoRR abs/2209.12374 (2022) - [i7]Xiaobing Feng, Yukun Li, Yujian Lin:
Fully discrete finite element methods for nonlinear stochastic elastic wave equations with multiplicative noise. CoRR abs/2210.00592 (2022) - 2021
- [j53]Hongtao Chen, Xiaobing Feng, Zhimin Zhang:
A recovery-based linear C0 finite element method for a fourth-order singularly perturbed Monge-Ampère equation. Adv. Comput. Math. 47(2): 21 (2021) - [j52]Yongheng Wang, Li Cai, Xiaobing Feng, Xiaoyu Luo, Hao Gao:
A ghost structure finite difference method for a fractional FitzHugh-Nagumo monodomain model on moving irregular domain. J. Comput. Phys. 428: 110081 (2021) - [j51]Xiaobing Feng, Hailong Qiu:
Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise. J. Sci. Comput. 88(1): 31 (2021) - [j50]Xiaobing Feng, Thomas L. Lewis:
A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. SIAM J. Numer. Anal. 59(2): 886-924 (2021) - [j49]Xiaobing Feng, Buyang Li, Shu Ma:
High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 59(3): 1566-1591 (2021) - [i6]Xiaobing Feng, Yan Luo, Liet Vo, Zhu Wang:
An efficient iterative method for solving parameter-dependent and random diffusion problems. CoRR abs/2105.11901 (2021) - 2020
- [j48]Xiaobing Feng, Yukun Li, Yi Zhang:
A Fully Discrete Mixed Finite Element Method for the Stochastic Cahn-Hilliard Equation with Gradient-Type Multiplicative Noise. J. Sci. Comput. 83(1): 23 (2020) - [i5]Xiaobing Feng, Andreas Prohl, Liet Vo:
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations. CoRR abs/2005.03148 (2020) - [i4]Xiaobing Feng, Buyang Li, Shu Ma:
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. CoRR abs/2006.05073 (2020) - [i3]Xiaobing Feng, Liet Vo:
Analysis of Chorin-Type Projection Methods for the Stochastic Stokes Equations with General Multiplicative Noises. CoRR abs/2010.15297 (2020)
2010 – 2019
- 2019
- [j47]Xiaobing Feng, Junshan Lin, Cody Lorton:
A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell's Equations with Random Coefficients. J. Sci. Comput. 80(3): 1498-1528 (2019) - [i2]Xiaobing Feng, Thomas L. Lewis:
A Narrow-stencil finite difference method for approximating viscosity solutions of fully nonlinear elliptic partial differential equations with applications to Hamilton-Jacobi-Bellman equations. CoRR abs/1907.10204 (2019) - [i1]Xiaobing Feng, Stefan Schnake:
H1-norm error estimate for a nonstandard finite element approximation of second-order linear elliptic PDEs in non-divergence form. CoRR abs/1909.13803 (2019) - 2018
- [j46]Xiaobing Feng, Michael Neilan, Stefan Schnake:
Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs. J. Sci. Comput. 74(3): 1651-1676 (2018) - [j45]Xiaobing Feng, Thomas L. Lewis:
Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions. J. Sci. Comput. 77(3): 1534-1565 (2018) - 2017
- [j44]Xiaobing Feng, Lauren Hennings, Michael Neilan:
Finite element methods for second order linear elliptic partial differential equations in non-divergence form. Math. Comput. 86(307): 2025-2051 (2017) - [j43]Xiaobing Feng, Yukun Li, Yi Zhang:
Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noise. SIAM J. Numer. Anal. 55(1): 194-216 (2017) - [j42]Xiaobing Feng, Max Jensen:
Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids. SIAM J. Numer. Anal. 55(2): 691-712 (2017) - 2016
- [j41]Xiaobing Feng, Miun Yoon:
Numerical Methods for Genetic Regulatory Network Identification Based on a Variational Approach. Comput. Methods Appl. Math. 16(1): 77-103 (2016) - [j40]Xiaobing Feng, Peipei Lu, Xuejun Xu:
A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number. Comput. Methods Appl. Math. 16(3): 429-445 (2016) - [j39]Xiaobing Feng, Thomas L. Lewis, Michael Neilan:
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. J. Comput. Appl. Math. 299: 68-91 (2016) - [j38]Xiaobing Feng, Cody Lorton:
An Unconditionally Stable Discontinuous Galerkin Method for the Elastic Helmholtz Equations with Large Frequency. J. Sci. Comput. 69(2): 841-865 (2016) - [j37]Xiaobing Feng, Yukun Li, Yulong Xing:
Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and the Hele-Shaw Flow. SIAM J. Numer. Anal. 54(2): 825-847 (2016) - 2015
- [j36]Xiaobing Feng, Junshan Lin, Cody Lorton:
An Efficient Numerical Method for Acoustic Wave Scattering in Random Media. SIAM/ASA J. Uncertain. Quantification 3(1): 790-822 (2015) - [j35]Amanda E. Diegel, Xiaobing H. Feng, Steven M. Wise:
Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System. SIAM J. Numer. Anal. 53(1): 127-152 (2015) - 2014
- [j34]Xiaobing Feng, Michael Neilan:
Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Comput. Math. Appl. 68(12): 2182-2204 (2014) - [j33]Xiaobing Feng, Thomas L. Lewis:
Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations. J. Sci. Comput. 59(1): 129-157 (2014) - [j32]Xiaobing Feng, Haijun Wu:
An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number. SIAM J. Numer. Anal. 52(5): 2356-2380 (2014) - 2013
- [j31]Xiaobing Feng, Chiu-Yen Kao, Thomas L. Lewis:
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. J. Comput. Appl. Math. 254: 81-98 (2013) - [j30]Xiaobing Feng, Yulong Xing:
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Math. Comput. 82(283): 1269-1296 (2013) - [j29]Xiaobing Feng, Roland Glowinski, Michael Neilan:
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations. SIAM Rev. 55(2): 205-267 (2013) - 2012
- [j28]Xiaobing Feng, Steven M. Wise:
Analysis of a Darcy-Cahn-Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation. SIAM J. Numer. Anal. 50(3): 1320-1343 (2012) - 2011
- [j27]Xiaobing Feng, Michael Neilan:
Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation. J. Sci. Comput. 47(3): 303-327 (2011) - [j26]Xiaobing Feng, Michael Neilan:
Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors. Math. Comput. 80(275): 1303-1333 (2011) - [j25]Xiaobing Feng, Haijun Wu:
hp-Discontinuous Galerkin methods for the Helmholtz equation with large wave number. Math. Comput. 80(276): 1997-2024 (2011) - 2010
- [j24]Xiaobing Feng, Yinnian He:
Fully Discrete Finite Element Approximations of a Polymer Gel Model. SIAM J. Numer. Anal. 48(6): 2186-2217 (2010)
2000 – 2009
- 2009
- [j23]Xiaobing Feng, Michael Neilan:
Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. J. Sci. Comput. 38(1): 74-98 (2009) - [j22]Xiaobing Feng, Michael Neilan:
Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method. SIAM J. Numer. Anal. 47(2): 1226-1250 (2009) - [j21]Xiaobing Feng, Haijun Wu:
Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number. SIAM J. Numer. Anal. 47(4): 2872-2896 (2009) - [j20]Xiaobing Feng, Michael Neilan:
A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations. SIAM J. Numer. Anal. 47(4): 2952-2981 (2009) - 2008
- [j19]Tim Schulze, Vasilios Alexiades, Xiaobing Feng:
Multi-scale Modeling and Simulation in Materials Science, Preface. J. Sci. Comput. 37(1): 1-2 (2008) - [j18]John W. Barrett, Xiaobing Feng, Andreas Prohl:
On p-Harmonic Map Heat Flows for 1<=p<∞ and Their Finite Element Approximations. SIAM J. Math. Anal. 40(4): 1471-1498 (2008) - [j17]Roland Becker, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. SIAM J. Numer. Anal. 46(4): 1704-1731 (2008) - 2007
- [j16]Xiaobing Feng, Yinnian He, Chun Liu:
Analysis of finite element approximations of a phase field model for two-phase fluids. Math. Comput. 76(258): 539-571 (2007) - [j15]Xiaobing Feng, Ohannes A. Karakashian:
Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition. Math. Comput. 76(259): 1093-1117 (2007) - [j14]Xiaobing Feng, Michael Neilan, Andreas Prohl:
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Numerische Mathematik 108(1): 93-119 (2007) - [j13]John W. Barrett, Sören Bartels, Xiaobing Feng, Andreas Prohl:
A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. SIAM J. Numer. Anal. 45(3): 905-927 (2007) - [j12]Sören Bartels, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of Wave Maps into Spheres. SIAM J. Numer. Anal. 46(1): 61-87 (2007) - 2006
- [j11]Xiaobing Feng:
Fully Discrete Finite Element Approximations of the Navier-Stokes-Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows. SIAM J. Numer. Anal. 44(3): 1049-1072 (2006) - 2005
- [j10]Xiaobing Feng, Ohannes A. Karakashian:
Two-Level Non-Overlapping Schwarz Preconditioners for a Discontinuous Galerkin Approximation of the Biharmonic Equation. J. Sci. Comput. 22(1): 289-314 (2005) - [j9]Xiaobing Feng, Haijun Wu:
A Posteriori Error Estimates and an Adaptive Finite Element Method for the Allen-Cahn Equation and the Mean Curvature Flow. J. Sci. Comput. 24(2): 121-146 (2005) - [j8]Xiaobing Feng, Markus von Oehsen, Andreas Prohl:
Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Numerische Mathematik 100(3): 441-456 (2005) - 2004
- [j7]Xiaobing Feng, Andreas Prohl:
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Math. Comput. 73(246): 541-567 (2004) - [j6]Xiaobing Feng, Andreas Prohl:
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Numerische Mathematik 99(1): 47-84 (2004) - 2003
- [j5]Xiaobing Feng, Andreas Prohl:
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Numerische Mathematik 94(1): 33-65 (2003) - 2002
- [j4]Xiaobing Feng, Talal Rahman:
An additive average Schwarz method for the plate bending problem. J. Num. Math. 10(2): 109-125 (2002) - 2001
- [j3]Xiaobing Feng, Ohannes A. Karakashian:
Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems. SIAM J. Numer. Anal. 39(4): 1343-1365 (2001) - 2000
- [j2]Xiaobing Feng:
Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem. SIAM J. Numer. Anal. 38(4): 1312-1336 (2000)
1990 – 1999
- 1999
- [j1]Xiaobing Feng:
Absorbing boundary conditions for electromagnetic wave propagation. Math. Comput. 68(225): 145-168 (1999)
Coauthor Index
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