Absorbing boundary conditions for electromagnetic wave propagation. - Xiaobing Feng 001 (Math. Comput., 1999)

Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem. - Xiaobing Feng 001 (SIAM J. Numer. Anal., 2000)

Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems. - Xiaobing Feng 001; Ohannes A. Karakashian (SIAM J. Numer. Anal., 2001)

An additive average Schwarz method for the plate bending problem. - Xiaobing Feng 001; Talal Rahman (J. Num. Math., 2002)

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. - Xiaobing Feng 001; Andreas Prohl (Numerische Mathematik, 2003)

Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. - Xiaobing Feng 001; Andreas Prohl (Math. Comput., 2004)

Error analysis of a mixed finite element method for the Cahn-Hilliard equation. - Xiaobing Feng 001; Andreas Prohl (Numerische Mathematik, 2004)

Two-Level Non-Overlapping Schwarz Preconditioners for a Discontinuous Galerkin Approximation of the Biharmonic Equation. - Xiaobing Feng 001; Ohannes A. Karakashian (J. Sci. Comput., 2005)

A Posteriori Error Estimates and an Adaptive Finite Element Method for the Allen-Cahn Equation and the Mean Curvature Flow. - Xiaobing Feng 001; Haijun Wu (J. Sci. Comput., 2005)

Rate of convergence of regularization procedures and finite element approximations for the total variation flow. - Xiaobing Feng 001; Markus von Oehsen; Andreas Prohl (Numerische Mathematik, 2005)

Fully Discrete Finite Element Approximations of the Navier-Stokes-Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows. - Xiaobing Feng 001 (SIAM J. Numer. Anal., 2006)

Analysis of finite element approximations of a phase field model for two-phase fluids. - Xiaobing Feng 001; Yinnian He; Chun Liu 009 (Math. Comput., 2007)

Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition. - Xiaobing Feng 001; Ohannes A. Karakashian (Math. Comput., 2007)

Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. - Xiaobing Feng 001; Michael Neilan; Andreas Prohl (Numerische Mathematik, 2007)

A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. - John W. Barrett 001; Sören Bartels; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2007)

Finite Element Approximations of Wave Maps into Spheres. - Sören Bartels; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2007)

Multi-scale Modeling and Simulation in Materials Science, Preface. - Tim Schulze; Vasilios Alexiades; Xiaobing Feng 001 (J. Sci. Comput., 2008)

On p-Harmonic Map Heat Flows for 1<=p<∞ and Their Finite Element Approximations. - John W. Barrett 001; Xiaobing Feng 001; Andreas Prohl (SIAM J. Math. Anal., 2008)

Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. - Roland Becker; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2008)

Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. - Xiaobing Feng 001; Michael Neilan (J. Sci. Comput., 2009)

Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method. - Xiaobing Feng 001; Michael Neilan (SIAM J. Numer. Anal., 2009)

A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations. - Xiaobing Feng 001; Michael Neilan (SIAM J. Numer. Anal., 2009)

Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number. - Xiaobing Feng 001; Haijun Wu (SIAM J. Numer. Anal., 2009)

Fully Discrete Finite Element Approximations of a Polymer Gel Model. - Xiaobing Feng 001; Yinnian He (SIAM J. Numer. Anal., 2010)

Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation. - Xiaobing Feng 001; Michael Neilan (J. Sci. Comput., 2011)

Discontinuous finite element methods for a bi-wave equation modeling d-wave superconductors. - Xiaobing Feng 001; Michael Neilan (Math. Comput., 2011)

hp-Discontinuous Galerkin methods for the Helmholtz equation with large wave number. - Xiaobing Feng 001; Haijun Wu (Math. Comput., 2011)

Analysis of a Darcy-Cahn-Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation. - Xiaobing Feng 001; Steven M. Wise (SIAM J. Numer. Anal., 2012)

Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations. - Xiaobing Feng 001; Chiu-Yen Kao; Thomas L. Lewis (J. Comput. Appl. Math., 2013)

Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number. - Xiaobing Feng 001; Yulong Xing (Math. Comput., 2013)

Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations. - Xiaobing Feng 001; Roland Glowinski; Michael Neilan (SIAM Rev., 2013)

Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. - Xiaobing Feng 001; Michael Neilan (Comput. Math. Appl., 2014)

Local Discontinuous Galerkin Methods for One-Dimensional Second Order Fully Nonlinear Elliptic and Parabolic Equations. - Xiaobing Feng 001; Thomas L. Lewis (J. Sci. Comput., 2014)

An Absolutely Stable Discontinuous Galerkin Method for the Indefinite Time-Harmonic Maxwell Equations with Large Wave Number. - Xiaobing Feng 001; Haijun Wu (SIAM J. Numer. Anal., 2014)

An Efficient Numerical Method for Acoustic Wave Scattering in Random Media. - Xiaobing Feng 001; Junshan Lin; Cody Lorton (SIAM/ASA J. Uncertain. Quantification, 2015)

Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System. - Amanda E. Diegel; Xiaobing H. Feng; Steven M. Wise (SIAM J. Numer. Anal., 2015)

A Hybridizable Discontinuous Galerkin Method for the Time-Harmonic Maxwell Equations with High Wave Number. - Xiaobing Feng 001; Peipei Lu; Xuejun Xu (Comput. Methods Appl. Math., 2016)

Numerical Methods for Genetic Regulatory Network Identification Based on a Variational Approach. - Xiaobing Feng 001; Miun Yoon (Comput. Methods Appl. Math., 2016)

Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. - Xiaobing Feng 001; Thomas L. Lewis; Michael Neilan (J. Comput. Appl. Math., 2016)

An Unconditionally Stable Discontinuous Galerkin Method for the Elastic Helmholtz Equations with Large Frequency. - Xiaobing Feng 001; Cody Lorton (J. Sci. Comput., 2016)

Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn-Hilliard Equation and the Hele-Shaw Flow. - Xiaobing Feng 001; Yukun Li; Yulong Xing (SIAM J. Numer. Anal., 2016)

Finite element methods for second order linear elliptic partial differential equations in non-divergence form. - Xiaobing Feng 001; Lauren Hennings; Michael Neilan (Math. Comput., 2017)

Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids. - Xiaobing Feng 001; Max Jensen (SIAM J. Numer. Anal., 2017)

Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noise. - Xiaobing Feng 001; Yukun Li; Yi Zhang (SIAM J. Numer. Anal., 2017)

Nonstandard Local Discontinuous Galerkin Methods for Fully Nonlinear Second Order Elliptic and Parabolic Equations in High Dimensions. - Xiaobing Feng 001; Thomas L. Lewis (J. Sci. Comput., 2018)

Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-divergence Form Elliptic PDEs. - Xiaobing Feng 001; Michael Neilan; Stefan Schnake (J. Sci. Comput., 2018)

A Narrow-stencil finite difference method for approximating viscosity solutions of fully nonlinear elliptic partial differential equations with applications to Hamilton-Jacobi-Bellman equations. - Xiaobing Feng 001; Thomas L. Lewis (CoRR, 2019)

H1-norm error estimate for a nonstandard finite element approximation of second-order linear elliptic PDEs in non-divergence form. - Xiaobing Feng 001; Stefan Schnake (CoRR, 2019)

A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell's Equations with Random Coefficients. - Xiaobing Feng 001; Junshan Lin; Cody Lorton (J. Sci. Comput., 2019)

Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations. - Xiaobing Feng 001; Andreas Prohl; Liet Vo (CoRR, 2020)

Analysis of Chorin-Type Projection Methods for the Stochastic Stokes Equations with General Multiplicative Noises. - Xiaobing Feng 001; Liet Vo (CoRR, 2020)

A Fully Discrete Mixed Finite Element Method for the Stochastic Cahn-Hilliard Equation with Gradient-Type Multiplicative Noise. - Xiaobing Feng 001; Yukun Li; Yi Zhang (J. Sci. Comput., 2020)

A recovery-based linear C0 finite element method for a fourth-order singularly perturbed Monge-Ampère equation. - Hongtao Chen; Xiaobing Feng 001; Zhimin Zhang 002 (Adv. Comput. Math., 2021)

An efficient iterative method for solving parameter-dependent and random diffusion problems. - Xiaobing Feng 001; Yan Luo; Liet Vo; Zhu Wang 003 (CoRR, 2021)

A ghost structure finite difference method for a fractional FitzHugh-Nagumo monodomain model on moving irregular domain. - Yongheng Wang; Li Cai; Xiaobing Feng 001; Xiaoyu Luo; Hao Gao 002 (J. Comput. Phys., 2021)

Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise. - Xiaobing Feng 001; Hailong Qiu (J. Sci. Comput., 2021)

A Narrow-stencil Finite Difference Method for Approximating Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. - Xiaobing Feng 001; Thomas L. Lewis (SIAM J. Numer. Anal., 2021)

High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation. - Xiaobing Feng 001; Buyang Li; Shu Ma (SIAM J. Numer. Anal., 2021)

A narrow-stencil framework for convergent numerical approximations of fully nonlinear second order PDEs. - Xiaobing Feng 001; Thomas L. Lewis; Kellie Ward (CoRR, 2022)

Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise. - Xiaobing Feng 001; Akash Ashirbad Panda; Andreas Prohl (CoRR, 2022)

High moment and pathwise error estimates for fully discrete mixed finite element approximattions of stochastic Navier-Stokes equations with additive noise. - Xiaobing Feng 001; Liet Vo (CoRR, 2022)

Fully discrete finite element methods for nonlinear stochastic elastic wave equations with multiplicative noise. - Xiaobing Feng 001; Yukun Li; Yujian Lin (CoRR, 2022)

An Efficient Iterative Method for Solving Parameter-Dependent and Random Convection-Diffusion Problems. - Xiaobing Feng 001; Yan Luo; Liet Vo; Zhu Wang 003 (J. Sci. Comput., 2022)

An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials. - Zihao Yang; Jizu Huang; Xiaobing Feng 001; Xiaofei Guan (SIAM J. Sci. Comput., 2022)