Xiaobing Feng
Orcid: 0000-0002-9191-9092Affiliations:
- University of Tennessee, Knoxville, Department of Mathematics
According to our database1,
Xiaobing Feng
authored at least 64 papers
between 1999 and 2022.
Collaborative distances:
Collaborative distances:
Timeline
Legend:
Book In proceedings Article PhD thesis Dataset OtherLinks
Online presence:
-
on orcid.org
-
on math.utk.edu
On csauthors.net:
Bibliography
2022
SIAM J. Sci. Comput., February, 2022
An Efficient Iterative Method for Solving Parameter-Dependent and Random Convection-Diffusion Problems.
J. Sci. Comput., 2022
Fully discrete finite element methods for nonlinear stochastic elastic wave equations with multiplicative noise.
CoRR, 2022
High moment and pathwise error estimates for fully discrete mixed finite element approximattions of stochastic Navier-Stokes equations with additive noise.
CoRR, 2022
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise.
CoRR, 2022
A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs.
CoRR, 2022
2021
High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation.
SIAM J. Numer. Anal., 2021
A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations.
SIAM J. Numer. Anal., 2021
Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise.
J. Sci. Comput., 2021
A ghost structure finite difference method for a fractional FitzHugh-Nagumo monodomain model on moving irregular domain.
J. Comput. Phys., 2021
An efficient iterative method for solving parameter-dependent and random diffusion problems.
CoRR, 2021
A recovery-based linear C<sup>0</sup> finite element method for a fourth-order singularly perturbed Monge-Ampère equation.
Adv. Comput. Math., 2021
2020
A Fully Discrete Mixed Finite Element Method for the Stochastic Cahn-Hilliard Equation with Gradient-Type Multiplicative Noise.
J. Sci. Comput., 2020
Analysis of Chorin-Type Projection Methods for the Stochastic Stokes Equations with General Multiplicative Noises.
CoRR, 2020
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations.
CoRR, 2020
2019
A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell's Equations with Random Coefficients.
J. Sci. Comput., 2019
H<sup>1</sup>-norm error estimate for a nonstandard finite element approximation of second-order linear elliptic PDEs in non-divergence form.
CoRR, 2019
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
2018
Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs.
J. Sci. Comput., 2018
Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions.
J. Sci. Comput., 2018
2017
Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noise.
SIAM J. Numer. Anal., 2017
Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids.
SIAM J. Numer. Anal., 2017
Finite element methods for second order linear elliptic partial differential equations in non-divergence form.
Math. Comput., 2017
2016
Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and the Hele-Shaw Flow.
SIAM J. Numer. Anal., 2016
An Unconditionally Stable Discontinuous Galerkin Method for the Elastic Helmholtz Equations with Large Frequency.
J. Sci. Comput., 2016
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations.
J. Comput. Appl. Math., 2016
Numerical Methods for Genetic Regulatory Network Identification Based on a Variational Approach.
Comput. Methods Appl. Math., 2016
A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number.
Comput. Methods Appl. Math., 2016
2015
SIAM J. Numer. Anal., 2015
SIAM/ASA J. Uncertain. Quantification, 2015
2014
An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number.
SIAM J. Numer. Anal., 2014
Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations.
J. Sci. Comput., 2014
Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method.
Comput. Math. Appl., 2014
2013
Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations.
SIAM Rev., 2013
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number.
Math. Comput., 2013
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations.
J. Comput. Appl. Math., 2013
2012
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., 2012
2011
Math. Comput., 2011
Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors.
Math. Comput., 2011
J. Sci. Comput., 2011
2010
SIAM J. Numer. Anal., 2010
2009
SIAM J. Numer. Anal., 2009
A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations.
SIAM J. Numer. Anal., 2009
Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method.
SIAM J. Numer. Anal., 2009
Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations.
J. Sci. Comput., 2009
2008
Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow.
SIAM J. Numer. Anal., 2008
SIAM J. Math. Anal., 2008
J. Sci. Comput., 2008
2007
A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres.
SIAM J. Numer. Anal., 2007
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity.
Numerische Mathematik, 2007
Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition.
Math. Comput., 2007
Analysis of finite element approximations of a phase field model for two-phase fluids.
Math. Comput., 2007
2006
Fully Discrete Finite Element Approximations of the Navier-Stokes-Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows.
SIAM J. Numer. Anal., 2006
2005
Rate of convergence of regularization procedures and finite element approximations for the total variation flow.
Numerische Mathematik, 2005
<i>A Posteriori</i> Error Estimates and an Adaptive Finite Element Method for the Allen-Cahn Equation and the Mean Curvature Flow.
J. Sci. Comput., 2005
Two-Level Non-Overlapping Schwarz Preconditioners for a Discontinuous Galerkin Approximation of the Biharmonic Equation.
J. Sci. Comput., 2005
2004
Numerische Mathematik, 2004
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits.
Math. Comput., 2004
2003
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows.
Numerische Mathematik, 2003
2002
J. Num. Math., 2002
2001
Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2001
2000
Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem.
SIAM J. Numer. Anal., 2000
1999
Math. Comput., 1999