Global Existence of Weak Solution for Nonisothermal Multicomponent Flow in Porous Textile Media. - Buyang Li; Weiwei Sun 002 (SIAM J. Math. Anal., 2010)

Global Weak Solution for a Heat and Sweat Transport System in Three-Dimensional Fibrous Porous Media with Condensation/Evaporation and Absorption. - Buyang Li; Weiwei Sun 002 (SIAM J. Math. Anal., 2012)

Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials. - Yanren Hou; Buyang Li; Weiwei Sun 002 (SIAM J. Numer. Anal., 2013)

Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media. - Buyang Li; Weiwei Sun 002 (SIAM J. Numer. Anal., 2013)

Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg-Landau Equations in Superconductivity. - Huadong Gao; Buyang Li; Weiwei Sun 002 (SIAM J. Numer. Anal., 2014)

Unconditionally Optimal Error Estimates of a Crank-Nicolson Galerkin Method for the Nonlinear Thermistor Equations. - Buyang Li; Huadong Gao; Weiwei Sun 002 (SIAM J. Numer. Anal., 2014)

Linearized FE Approximations to a Nonlinear Gradient Flow. - Buyang Li; Weiwei Sun 002 (SIAM J. Numer. Anal., 2014)

A numerical study on the stability of a class of Helmholtz problems. - Kui Du; Buyang Li; Weiwei Sun 002 (J. Comput. Phys., 2015)

A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. - Buyang Li; Zhimin Zhang 002 (J. Comput. Phys., 2015)

Maximum-norm stability and maximal Lp regularity of FEMs for parabolic equations with Lipschitz continuous coefficients. - Buyang Li (Numerische Mathematik, 2015)

Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow. - Buyang Li; Weiwei Sun 002 (SIAM J. Numer. Anal., 2015)

A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations. - Buyang Li; Jun Liu 025; Mingqing Xiao 001 (SIAM J. Sci. Comput., 2015)

A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. - Balázs Kovács; Buyang Li; Christian Lubich (SIAM J. Numer. Anal., 2016)

A new multigrid method for unconstrained parabolic optimal control problems. - Buyang Li; Jun Liu 025; Mingqing Xiao 001 (J. Comput. Appl. Math., 2017)

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. - Georgios Akrivis; Buyang Li; Christian Lubich (Math. Comput., 2017)

Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra. - Buyang Li; Weiwei Sun 002 (Math. Comput., 2017)

Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition. - Buyang Li; Zhimin Zhang 002 (Math. Comput., 2017)

Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon. - Huadong Gao; Buyang Li; Weiwei Sun 002 (Numerische Mathematik, 2017)

Convergence of finite elements on an evolving surface driven by diffusion on the surface. - Balázs Kovács; Buyang Li; Christian Lubich; Christian A. Power Guerra (Numerische Mathematik, 2017)

Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations. - Buyang Li; Weiwei Sun 002 (SIAM J. Numer. Anal., 2017)

Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations. - Bangti Jin; Buyang Li; Zhi Zhou 002 (SIAM J. Sci. Comput., 2017)

Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity. - Peer Christian Kunstmann; Buyang Li; Christian Lubich (Found. Comput. Math., 2018)

Boundary Problems for the Fractional and Tempered Fractional Operators. - Weihua Deng; Buyang Li; WenYi Tian; Pingwen Zhang (Multiscale Model. Simul., 2018)

Discrete maximal regularity of time-stepping schemes for fractional evolution equations. - Bangti Jin; Buyang Li; Zhi Zhou 002 (Numerische Mathematik, 2018)

Time Discretization of a Tempered Fractional Feynman-Kac Equation with Measure Data. - Weihua Deng; Buyang Li; Zhi Qian; Hong Wang (SIAM J. Numer. Anal., 2018)

On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model. - Max D. Gunzburger; Xiaoming He; Buyang Li (SIAM J. Numer. Anal., 2018)

Numerical Analysis of Nonlinear Subdiffusion Equations. - Bangti Jin; Buyang Li; Zhi Zhou 002 (SIAM J. Numer. Anal., 2018)

An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions. - Buyang Li; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Numer. Anal., 2018)

Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions. - Buyang Li; Jiwei Zhang 002; Chunxiong Zheng (SIAM J. Sci. Comput., 2018)

A convergent algorithm for mean curvature flow driven by diffusion on the surface. - Balázs Kovács; Buyang Li; Christian Lubich (CoRR, 2019)

Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. - Max D. Gunzburger; Buyang Li; Jilu Wang (Math. Comput., 2019)

Subdiffusion with a time-dependent coefficient: Analysis and numerical solution. - Bangti Jin; Buyang Li; Zhi Zhou 002 (Math. Comput., 2019)

Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra. - Buyang Li (Math. Comput., 2019)

Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor. - Wentao Cai 001; Buyang Li; Yanping Lin; Weiwei Sun 002 (Numerische Mathematik, 2019)

Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. - Max D. Gunzburger; Buyang Li; Jilu Wang (Numerische Mathematik, 2019)

A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. - Balázs Kovács; Buyang Li; Christian Lubich (Numerische Mathematik, 2019)

Energy-Decaying Extrapolated RK-SAV Methods for the Allen-Cahn and Cahn-Hilliard Equations. - Georgios Akrivis; Buyang Li; Dongfang Li (SIAM J. Sci. Comput., 2019)

Maximal regularity of multistep fully discrete finite element methods for parabolic equations. - Buyang Li (CoRR, 2020)

A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density. - Buyang Li; Weifeng Qiu (CoRR, 2020)

Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. - Bangti Jin; Buyang Li; Zhi Zhou 002 (Numerische Mathematik, 2020)

Convergence of Dziuk's Linearly Implicit Parametric Finite Element Method for Curve Shortening Flow. - Buyang Li (SIAM J. Numer. Anal., 2020)

A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems. - Buyang Li; Yuki Ueda; Guanyu Zhou (SIAM J. Numer. Anal., 2020)

A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains. - Buyang Li; Jilu Wang; Liwei Xu (SIAM J. Numer. Anal., 2020)

Long-time Accurate Symmetrized Implicit-explicit BDF Methods for a Class of Parabolic Equations with Non-self-adjoint Operators. - Buyang Li; Kai Wang 050; Zhi Zhou 002 (SIAM J. Numer. Anal., 2020)

Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations. - Buyang Li; Jiang Yang; Zhi Zhou 002 (SIAM J. Sci. Comput., 2020)

Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. - Buyang Li; Shu Ma; Yuki Ueda (CoRR, 2021)

Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. - Balázs Kovács; Buyang Li (CoRR, 2021)

A semi-implicit low-regularity integrator for Navier-Stokes equations. - Buyang Li; Shu Ma; Katharina Schratz (CoRR, 2021)

A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves. - Wei Jiang 008; Buyang Li (J. Comput. Phys., 2021)

A High-order Exponential Integrator for Nonlinear Parabolic Equations with Nonsmooth Initial Data. - Buyang Li; Shu Ma (J. Sci. Comput., 2021)

Second-Order Convergence of the Linearly Extrapolated Crank-Nicolson Method for the Navier-Stokes Equations with $ mathbf{H^1}$ Initial Data. - Buyang Li; Shu Ma; Na Wang (J. Sci. Comput., 2021)

Weak discrete maximum principle of finite element methods in convex polyhedra. - Dmitriy Leykekhman; Buyang Li (Math. Comput., 2021)

A convergent evolving finite element algorithm for Willmore flow of closed surfaces. - Balázs Kovács; Buyang Li; Christian Lubich (Numerische Mathematik, 2021)

A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations. - Buyang Li (Numerische Mathematik, 2021)

A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. - Buyang Li; Yifei Wu (Numerische Mathematik, 2021)

Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation. - Georgios Akrivis; Buyang Li; Jilu Wang (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)

Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-order Finite Elements. - Buyang Li (SIAM J. Numer. Anal., 2021)

Optimal Convergence of the Newton Iterative Crank-Nicolson Finite Element Method for the Nonlinear Schrödinger Equation. - Hanzhang Hu; Buyang Li; Jun Zou 003 (Comput. Methods Appl. Math., 2022)

A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation. - Buyang Li; Katharina Schratz; Franco Zivcovich (CoRR, 2022)

An unfiltered low-regularity integrator for the KdV equation with solutions below H1. - Buyang Li; Yifei Wu (CoRR, 2022)

Optimal analysis of finite element methods for the stochastic Stokes equations. - Buyang Li; Shu Ma; Weiwei Sun 002 (CoRR, 2022)

An energy diminishing arbitrary Lagrangian-Eulerian finite element method for two-phase Navier-Stokes flow. - Beiping Duan; Buyang Li; Zongze Yang (J. Comput. Phys., 2022)

A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. - Max D. Gunzburger; Buyang Li; Jilu Wang; Zongze Yang (J. Comput. Phys., 2022)

Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations. - Wei Gong; Buyang Li; Huanhuan Yang (J. Sci. Comput., 2022)

A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density. - Buyang Li; Weifeng Qiu; Zongze Yang (J. Sci. Comput., 2022)

Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh. - Buyang Li (Math. Comput., 2022)

Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow. - Jiashun Hu; Buyang Li (Numerische Mathematik, 2022)

Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps. - Xinping Gui; Buyang Li; Jilu Wang (SIAM J. Numer. Anal., 2022)

Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data. - Buyang Li; Shu Ma (SIAM J. Numer. Anal., 2022)

A Semi-implicit Exponential Low-Regularity Integrator for the Navier-Stokes Equations. - Buyang Li; Shu Ma; Katharina Schratz (SIAM J. Numer. Anal., 2022)

Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data. - Xinping Gui; Buyang Li; Jilu Wang (CoRR, 2023)

A new framework for the analysis of finite element methods for fluid-structure interaction problems. - Buyang Li; Weiwei Sun 002; Yupei Xie; Wenshan Yu (CoRR, 2023)

High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. - Buyang Li; Zongze Yang; Zhi Zhou 002 (CoRR, 2023)

A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains. - Buyang Li; Yonglin Li; Weiying Zheng (SIAM J. Appl. Math., 2023)

Erratum: Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements. - Genming Bai; Buyang Li (SIAM J. Numer. Anal., 2023)

Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. - Buyang Li; Weifeng Qiu; Yupei Xie; Wenshan Yu (Math. Comput., 2023)

An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data. - Buyang Li; Yanping Lin; Shu Ma; Qiqi Rao (SIAM J. Numer. Anal., 2023)

Convergence of a moving window method for the Schrödinger equation with potential on Rd. - Arieh Iserles; Buyang Li; Fangyan Yao (CoRR, 2024)

Maximal regularity of evolving FEMs for parabolic equations on an evolving surface. - Genming Bai; Balázs Kovács; Buyang Li (CoRR, 2024)

Computing rough solutions of the stochastic nonlinear wave equation. - Jiachuan Cao; Buyang Li; Katharina Schratz (CoRR, 2024)

An optimized CIP-FEM to reduce the pollution errors for the Helmholtz equation on a general unstructured mesh. - Buyang Li; Yonglin Li; Zongze Yang (J. Comput. Phys., 2024)

Efficient energy stable schemes for incompressible flows with variable density. - Buyang Li; Jie Shen; Zongze Yang; Yanrong Zhang (J. Comput. Phys., 2024)

Convergence of a stabilized parametric finite element method of the Barrett-Garcke-Nürnberg type for curve shortening flow. - Genming Bai; Buyang Li (Math. Comput., 2024)

A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field. - Genming Bai; Jiashun Hu; Buyang Li (SIAM J. Numer. Anal., 2024)

Optimal ( boldsymbol{L}^{ boldsymbol{2}} ) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions. - Buyang Li; Weiwei Sun 002; Yupei Xie; Wenshan Yu (SIAM J. Numer. Anal., 2024)

High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation. - Genming Bai; Jiashun Hu; Buyang Li (SIAM J. Sci. Comput., 2024)

New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution. - Beiping Duan; Buyang Li (SIAM J. Sci. Comput., 2024)

A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow. - Genming Bai; Buyang Li (Found. Comput. Math., 2024)

High-order mass-, energy- and momentum-conserving methods for the nonlinear Schrödinger equation. - Georgios Akrivis; Buyang Li; Rong Tang; Hui Zhang (J. Comput. Phys., 2025)

Geometric-structure preserving methods for surface evolution in curvature flows with minimal deformation formulations. - Guangwei Gao; Buyang Li (J. Comput. Phys., 2025)

Numerical Approximation of Discontinuous Solutions of the Semilinear Wave Equation. - Jiachuan Cao; Buyang Li; Yanping Lin; Fangyan Yao (SIAM J. Numer. Anal., 2025)

Dynamic Ritz Projection of Mean Curvature Flow and Optimal ( boldsymbol{L^2} ) Convergence of Parametric FEM. - Buyang Li; Rong Tang (SIAM J. Numer. Anal., 2025)

Optimal convergence of the arbitrary Lagrangian-Eulerian interface tracking method for two-phase Navier-Stokes flow without surface tension. - Buyang Li; Shu Ma; Weifeng Qiu (CoRR, 2025)

Dynamic Ritz Projection for Finite Element Methods in Fluid-Structure Interaction. - Erik Burman; Buyang Li; Rong Tang (CoRR, 2025)

Weak maximum principle of finite element methods for parabolic equations in polygonal domains. - Genming Bai; Dmitriy Leykekhman; Buyang Li (Numerische Mathematik, 2025)

An energy-stable minimal deformation rate scheme for mean curvature flow and surface diffusion. - Guangwei Gao; Harald Garcke; Buyang Li; Rong Tang (CoRR, 2025)

Convergence of multistep projection methods for harmonic map heat flows into general surfaces. - Genming Bai; Xinping Gui; Buyang Li (Numerische Mathematik, 2025)

Computing rough solutions of the KdV equation below L2. - Jiachuan Cao; Buyang Li; Yifei Wu; Fangyan Yao (CoRR, 2025)