Xiaobing Feng

Publication Activity (10 Years)

Years Active: 1999-2022
Publications (10 Years): 28

Top Topics

Partial Differential Equations

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

J. Comput. Appl. Math.

Publications

Xiaobing Feng, Yukun Li, Yujian Lin
Fully discrete finite element methods for nonlinear stochastic elastic wave equations with multiplicative noise. CoRR (2022)
Xiaobing Feng, Thomas Lewis, Kellie Ward
A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs. CoRR (2022)
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 (2022)
Xiaobing Feng, Akash Ashirbad Panda, Andreas Prohl
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise. CoRR (2022)
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) (2022)
Hongtao Chen, Xiaobing Feng, Zhimin Zhang
finite element method for a fourth-order singularly perturbed Monge-Ampère equation. Adv. Comput. Math. 47 (2) (2021)
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) (2021)
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) (2021)
Xiaobing Feng, Thomas Lewis
A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. SIAM J. Numer. Anal. 59 (2) (2021)
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 (2021)
Xiaobing Feng, Yan Luo, Liet Vo, Zhu Wang
An efficient iterative method for solving parameter-dependent and random diffusion problems. CoRR (2021)
Xiaobing Feng, Buyang Li, Shu Ma
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. CoRR (2020)
Xiaobing Feng, Liet Vo
Analysis of Chorin-Type Projection Methods for the Stochastic Stokes Equations with General Multiplicative Noises. CoRR (2020)
Xiaobing Feng, Andreas Prohl, Liet Vo
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations. CoRR (2020)
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) (2020)
Xiaobing Feng, Stefan Schnake
-norm error estimate for a nonstandard finite element approximation of second-order linear elliptic PDEs in non-divergence form. CoRR (2019)
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) (2019)
Xiaobing Feng, Thomas 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 (2019)
Xiaobing Feng, Thomas Lewis
Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions. J. Sci. Comput. 77 (3) (2018)
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) (2018)
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) (2017)
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) (2017)
Xiaobing Feng, Max Jensen
Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids. SIAM J. Numer. Anal. 55 (2) (2017)
Xiaobing Feng, Thomas 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 (2016)
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) (2016)
Xiaobing Feng, Miun Yoon
Numerical Methods for Genetic Regulatory Network Identification Based on a Variational Approach. Comput. Methods Appl. Math. 16 (1) (2016)
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) (2016)
Xiaobing Feng, Cody Lorton
An Unconditionally Stable Discontinuous Galerkin Method for the Elastic Helmholtz Equations with Large Frequency. J. Sci. Comput. 69 (2) (2016)
Xiaobing Feng, Junshan Lin, Cody Lorton
An Efficient Numerical Method for Acoustic Wave Scattering in Random Media. SIAM/ASA J. Uncertain. Quantification 3 (1) (2015)
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) (2014)
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) (2014)
Xiaobing Feng, Thomas Lewis
Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations. J. Sci. Comput. 59 (1) (2014)
Xiaobing Feng, Roland Glowinski, Michael Neilan
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations. SIAM Rev. 55 (2) (2013)
Xiaobing Feng, Yulong Xing
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. Math. Comput. 82 (283) (2013)
Xiaobing Feng, Chiu-Yen Kao, Thomas Lewis
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. J. Comput. Appl. Math. 254 (2013)
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) (2012)
Xiaobing Feng, Michael Neilan
Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors. Math. Comput. 80 (275) (2011)
Xiaobing Feng, Michael Neilan
Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation. J. Sci. Comput. 47 (3) (2011)
Xiaobing Feng, Haijun Wu
hp-Discontinuous Galerkin methods for the Helmholtz equation with large wave number. Math. Comput. 80 (276) (2011)
Xiaobing Feng, Yinnian He
Fully Discrete Finite Element Approximations of a Polymer Gel Model. SIAM J. Numer. Anal. 48 (6) (2010)
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) (2009)
Xiaobing Feng, Michael Neilan
Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. J. Sci. Comput. 38 (1) (2009)
Xiaobing Feng, Haijun Wu
Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number. SIAM J. Numer. Anal. 47 (4) (2009)
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) (2009)
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) (2008)
Tim Schulze, Vasilios Alexiades, Xiaobing Feng
Multi-scale Modeling and Simulation in Materials Science, Preface. J. Sci. Comput. 37 (1) (2008)
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) (2008)
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) (2007)
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) (2007)
Xiaobing Feng, Yinnian He, Chun Liu
Analysis of finite element approximations of a phase field model for two-phase fluids. Math. Comput. 76 (258) (2007)
Xiaobing Feng, Ohannes A. Karakashian
Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition. Math. Comput. 76 (259) (2007)
Sören Bartels, Xiaobing Feng, Andreas Prohl
Finite Element Approximations of Wave Maps into Spheres. SIAM J. Numer. Anal. 46 (1) (2007)
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) (2006)
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) (2005)
Xiaobing Feng, Haijun Wu
Error Estimates and an Adaptive Finite Element Method for the Allen-Cahn Equation and the Mean Curvature Flow. J. Sci. Comput. 24 (2) (2005)
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) (2005)
Xiaobing Feng, Andreas Prohl
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Numerische Mathematik 99 (1) (2004)
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) (2004)
Xiaobing Feng, Andreas Prohl
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Numerische Mathematik 94 (1) (2003)
Xiaobing Feng, Talal Rahman
An additive average Schwarz method for the plate bending problem. J. Num. Math. 10 (2) (2002)
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) (2001)
Xiaobing Feng
Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem. SIAM J. Numer. Anal. 38 (4) (2000)
Xiaobing Feng
Absorbing boundary conditions for electromagnetic wave propagation. Math. Comput. 68 (225) (1999)