Buyang Li

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 82

Top Topics

Error Estimates

Numerical Solution

Convex Polyhedra

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Beiping Duan, Buyang Li
New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution. SIAM J. Sci. Comput. 46 (1) (2024)
Buyang Li, Weiwei Sun, Yupei Xie, Wenshan Yu
Optimal \(\boldsymbol{L}^{\boldsymbol{2}}\) Error Analysis of a Loosely Coupled Finite Element Scheme for Thin-Structure Interactions. SIAM J. Numer. Anal. 62 (4) (2024)
Buyang Li, Yonglin Li, Zongze Yang
An optimized CIP-FEM to reduce the pollution errors for the Helmholtz equation on a general unstructured mesh. J. Comput. Phys. 511 (2024)
Genming Bai, Jiashun Hu, Buyang Li
High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation. SIAM J. Sci. Comput. 46 (2) (2024)
Genming Bai, Dmitriy Leykekhman, Buyang Li
Weak maximum principle of finite element methods for parabolic equations in polygonal domains. CoRR (2024)
Jiachuan Cao, Buyang Li, Yanping Lin, Fangyan Yao
Numerical approximation of discontinuous solutions of the semilinear wave equation. CoRR (2023)
Buyang Li, Zongze Yang, Zhi Zhou
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. CoRR (2023)
Buyang Li, Weifeng Qiu, Yupei Xie, Wenshan Yu
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. Math. Comput. 93 (345) (2023)
Buyang Li, Yonglin Li, Weiying Zheng
A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains. SIAM J. Appl. Math. 83 (2) (2023)
Buyang Li, Weifeng Qiu, Yupei Xie, Wenshan Yu
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. CoRR (2023)
Buyang Li, Yanping Lin, Shu Ma, Qiqi Rao
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data. SIAM J. Numer. Anal. 61 (5) (2023)
Genming Bai, Buyang Li
Erratum: Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements. SIAM J. Numer. Anal. 61 (3) (2023)
Xinping Gui, Buyang Li, Jilu Wang
Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data. CoRR (2023)
Buyang Li, Weiwei Sun, Yupei Xie, Wenshan Yu
A new framework for the analysis of finite element methods for fluid-structure interaction problems. CoRR (2023)
Buyang Li
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh. Math. Comput. 91 (336) (2022)
Buyang Li, Katharina Schratz, Franco Zivcovich
A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation. CoRR (2022)
Xinping Gui, Buyang Li, Jilu Wang
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps. SIAM J. Numer. Anal. 60 (1) (2022)
Buyang Li, Shu Ma, Weiwei Sun
Optimal analysis of finite element methods for the stochastic Stokes equations. CoRR (2022)
Max D. Gunzburger, Buyang Li, Jilu Wang, Zongze Yang
A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. J. Comput. Phys. 457 (2022)
Buyang Li, Shu Ma, Katharina Schratz
A Semi-implicit Exponential Low-Regularity Integrator for the Navier-Stokes Equations. SIAM J. Numer. Anal. 60 (4) (2022)
Buyang Li, Weifeng Qiu, Zongze Yang
A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density. J. Sci. Comput. 91 (1) (2022)
Hanzhang Hu, Buyang Li, Jun Zou
Optimal Convergence of the Newton Iterative Crank-Nicolson Finite Element Method for the Nonlinear Schrödinger Equation. Comput. Methods Appl. Math. 22 (3) (2022)
Wei Gong, Buyang Li, Huanhuan Yang
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations. J. Sci. Comput. 92 (3) (2022)
Beiping Duan, Buyang Li, Zongze Yang
An energy diminishing arbitrary Lagrangian-Eulerian finite element method for two-phase Navier-Stokes flow. J. Comput. Phys. 461 (2022)
Buyang Li, Yifei Wu
. CoRR (2022)
Jiashun Hu, Buyang Li
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow. Numerische Mathematik 152 (1) (2022)
Buyang Li, Shu Ma
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data. SIAM J. Numer. Anal. 60 (2) (2022)
Buyang Li, Yifei Wu
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. CoRR (2021)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numerische Mathematik 149 (3) (2021)
Balázs Kovács, Buyang Li
Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. CoRR (2021)
Buyang Li
Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. CoRR (2021)
Buyang Li
Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-order Finite Elements. SIAM J. Numer. Anal. 59 (3) (2021)
Wei Jiang, Buyang Li
A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves. 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. SIAM J. Numer. Anal. 59 (3) (2021)
Georgios Akrivis, Buyang Li, Jilu Wang
Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation. SIAM J. Numer. Anal. 59 (1) (2021)
Buyang Li, Yifei Wu
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. Numerische Mathematik 149 (1) (2021)
Wei Jiang, Buyang Li
A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves. J. Comput. Phys. 443 (2021)
Buyang Li, Shu Ma
A High-order Exponential Integrator for Nonlinear Parabolic Equations with Nonsmooth Initial Data. J. Sci. Comput. 87 (1) (2021)
Buyang Li, Shu Ma, Katharina Schratz
A semi-implicit low-regularity integrator for Navier-Stokes equations. CoRR (2021)
Dmitriy Leykekhman, Buyang Li
Weak discrete maximum principle of finite element methods in convex polyhedra. Math. Comput. 90 (327) (2021)
Buyang Li
A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations. Numerische Mathematik 147 (2) (2021)
Buyang Li, Shu Ma, Na Wang
Second-Order Convergence of the Linearly Extrapolated Crank-Nicolson Method for the Navier-Stokes Equations with $\mathbf{H^1}$ Initial Data. J. Sci. Comput. 88 (3) (2021)
Buyang Li, Shu Ma, Yuki Ueda
Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. CoRR (2021)
Buyang Li
Convergence of Dziuk's Linearly Implicit Parametric Finite Element Method for Curve Shortening Flow. SIAM J. Numer. Anal. 58 (4) (2020)
Buyang Li, Shu Ma
A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data. CoRR (2020)
Buyang Li, Kai Wang, Zhi Zhou
Long-time Accurate Symmetrized Implicit-explicit BDF Methods for a Class of Parabolic Equations with Non-self-adjoint Operators. SIAM J. Numer. Anal. 58 (1) (2020)
Buyang Li, Jiang Yang, Zhi Zhou
Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations. CoRR (2020)
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)
Buyang Li, Yuki Ueda, Guanyu Zhou
A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems. SIAM J. Numer. Anal. 58 (5) (2020)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. CoRR (2020)
Bangti Jin, Buyang Li, Zhi Zhou
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Numerische Mathematik 145 (4) (2020)
Buyang Li, Weifeng Qiu
A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density. CoRR (2020)
Buyang Li, Jilu Wang, Liwei Xu
A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains. SIAM J. Numer. Anal. 58 (1) (2020)
Bangti Jin, Buyang Li, Zhi Zhou
Subdiffusion with Time-Dependent Coefficients: Improved Regularity and Second-Order Time Stepping. CoRR (2020)
Buyang Li, Jiang Yang, Zhi Zhou
Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations. SIAM J. Sci. Comput. 42 (6) (2020)
Buyang Li
Maximal regularity of multistep fully discrete finite element methods for parabolic equations. CoRR (2020)
Wentao Cai, Buyang Li, Yanping Lin, Weiwei Sun
Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor. Numerische Mathematik 141 (4) (2019)
Buyang Li
Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra. Math. Comput. 88 (315) (2019)
Georgios Akrivis, Buyang Li, Dongfang Li
Energy-Decaying Extrapolated RK-SAV Methods for the Allen-Cahn and Cahn-Hilliard Equations. SIAM J. Sci. Comput. 41 (6) (2019)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent algorithm for mean curvature flow driven by diffusion on the surface. CoRR (2019)
Max D. Gunzburger, Buyang Li, Jilu Wang
Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Numerische Mathematik 141 (4) (2019)
Bangti Jin, Buyang Li, Zhi Zhou
Subdiffusion with a time-dependent coefficient: Analysis and numerical solution. Math. Comput. 88 (319) (2019)
Max D. Gunzburger, Buyang Li, Jilu Wang
Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Math. Comput. 88 (318) (2019)
Dmitriy Leykekhman, Buyang Li
Weak discrete maximum principle of finite element methods in convex polyhedra. CoRR (2019)
Balázs Kovács, Buyang Li, Christian Lubich
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik 143 (4) (2019)
Buyang Li, Jiwei Zhang, Chunxiong Zheng
Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions. SIAM J. Sci. Comput. 40 (6) (2018)
Buyang Li, Jiwei Zhang, Chunxiong Zheng
An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions. SIAM J. Numer. Anal. 56 (2) (2018)
Weihua Deng, Buyang Li, Zhi Qian, Hong Wang
Time Discretization of a Tempered Fractional Feynman-Kac Equation with Measure Data. SIAM J. Numer. Anal. 56 (6) (2018)
Weihua Deng, Buyang Li, WenYi Tian, Pingwen Zhang
Boundary Problems for the Fractional and Tempered Fractional Operators. Multiscale Model. Simul. 16 (1) (2018)
Peer Christian Kunstmann, Buyang Li, Christian Lubich
Runge-Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity. Found. Comput. Math. 18 (5) (2018)
Bangti Jin, Buyang Li, Zhi Zhou
Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Numerische Mathematik 138 (1) (2018)
Bangti Jin, Buyang Li, Zhi Zhou
Numerical Analysis of Nonlinear Subdiffusion Equations. SIAM J. Numer. Anal. 56 (1) (2018)
Max D. Gunzburger, Xiaoming He, Buyang Li
On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model. SIAM J. Numer. Anal. 56 (1) (2018)
Balázs Kovács, Buyang Li, Christian Lubich, Christian A. Power Guerra
Convergence of finite elements on an evolving surface driven by diffusion on the surface. Numerische Mathematik 137 (3) (2017)
Bangti Jin, Buyang Li, Zhi Zhou
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations. SIAM J. Sci. Comput. 39 (6) (2017)
Buyang Li, Weiwei Sun
analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra. Math. Comput. 86 (305) (2017)
Buyang Li, Jun Liu, Mingqing Xiao
A new multigrid method for unconstrained parabolic optimal control problems. J. Comput. Appl. Math. 326 (2017)
Buyang Li, Weiwei Sun
Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations. SIAM J. Numer. Anal. 55 (2) (2017)
Huadong Gao, Buyang Li, Weiwei Sun
Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon. Numerische Mathematik 136 (2) (2017)
Georgios Akrivis, Buyang Li, Christian Lubich
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comput. 86 (306) (2017)
Buyang Li, Zhimin Zhang
Mathematical and numerical analysis of the time-dependent Ginzburg-Landau equations in nonconvex polygons based on Hodge decomposition. Math. Comput. 86 (306) (2017)
Balázs Kovács, Buyang Li, Christian Lubich
A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM J. Numer. Anal. 54 (6) (2016)
Buyang Li, Weiwei Sun
Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow. SIAM J. Numer. Anal. 53 (3) (2015)
Buyang Li, Jun Liu, Mingqing Xiao
A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations. SIAM J. Sci. Comput. 37 (6) (2015)
Kui Du, Buyang Li, Weiwei Sun
A numerical study on the stability of a class of Helmholtz problems. J. Comput. Phys. 287 (2015)
Buyang Li
regularity of FEMs for parabolic equations with Lipschitz continuous coefficients. Numerische Mathematik 131 (3) (2015)
Buyang Li, Zhimin Zhang
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. J. Comput. Phys. 303 (2015)
Buyang Li, Weiwei Sun
Linearized FE Approximations to a Nonlinear Gradient Flow. SIAM J. Numer. Anal. 52 (6) (2014)
Buyang Li, Huadong Gao, Weiwei Sun
Unconditionally Optimal Error Estimates of a Crank-Nicolson Galerkin Method for the Nonlinear Thermistor Equations. SIAM J. Numer. Anal. 52 (2) (2014)
Huadong Gao, Buyang Li, Weiwei Sun
Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg-Landau Equations in Superconductivity. SIAM J. Numer. Anal. 52 (3) (2014)
Buyang Li, Weiwei Sun
Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media. SIAM J. Numer. Anal. 51 (4) (2013)
Yanren Hou, Buyang Li, Weiwei Sun
Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials. SIAM J. Numer. Anal. 51 (1) (2013)
Buyang Li, Weiwei Sun
Global Weak Solution for a Heat and Sweat Transport System in Three-Dimensional Fibrous Porous Media with Condensation/Evaporation and Absorption. SIAM J. Math. Anal. 44 (3) (2012)
Buyang Li, Weiwei Sun
Global Existence of Weak Solution for Nonisothermal Multicomponent Flow in Porous Textile Media. SIAM J. Math. Anal. 42 (6) (2010)