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2020 – today
- 2024
[j71]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: 113120 (2024)- [j70]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): 1782-1813 (2024) - [j69]Genming Bai, Jiashun Hu, Buyang Li:
A Convergent Evolving Finite Element Method with Artificial Tangential Motion for Surface Evolution under a Prescribed Velocity Field. SIAM J. Numer. Anal. 62(5): 2172-2195 (2024) - [j68]Beiping Duan, Buyang Li:
New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution. SIAM J. Sci. Comput. 46(1): 587- (2024) - [j67]Genming Bai, Jiashun Hu, Buyang Li:
High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation. SIAM J. Sci. Comput. 46(2): 1026- (2024) - [i26]Genming Bai, Dmitriy Leykekhman, Buyang Li:
Weak maximum principle of finite element methods for parabolic equations in polygonal domains. CoRR abs/2407.19437 (2024) - [i25]Arieh Iserles, Buyang Li, Fangyan Yao:
Convergence of a moving window method for the Schrödinger equation with potential on Rd. CoRR abs/2408.09463 (2024) - [i24]Genming Bai, Balázs Kovács, Buyang Li:
Maximal regularity of evolving FEMs for parabolic equations on an evolving surface. CoRR abs/2408.14096 (2024) - 2023
- [j66]Buyang Li, Weifeng Qiu, Yupei Xie, Wenshan Yu:
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. Math. Comput. 93(345): 1-34 (2023) - [j65]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): 666-694 (2023) - [j64]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): 1609-1612 (2023) - [j63]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): 2305-2326 (2023) - [i23]Buyang Li, Weifeng Qiu, Yupei Xie, Wenshan Yu:
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra. CoRR abs/2303.09143 (2023) - [i22]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 abs/2305.04558 (2023) - [i21]Buyang Li, Weiwei Sun, Yupei Xie, Wenshan Yu:
A new framework for the analysis of finite element methods for fluid-structure interaction problems. CoRR abs/2306.05248 (2023) - [i20]Buyang Li, Zongze Yang, Zhi Zhou:
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. CoRR abs/2307.07206 (2023) - [i19]Jiachuan Cao, Buyang Li, Yanping Lin, Fangyan Yao:
Numerical approximation of discontinuous solutions of the semilinear wave equation. CoRR abs/2312.10392 (2023) - 2022
- [j62]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): 591-612 (2022) - [j61]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: 111067 (2022) - [j60]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: 111215 (2022) - [j59]Buyang Li, Weifeng Qiu, Zongze Yang:
A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density. J. Sci. Comput. 91(1): 2 (2022) - [j58]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): 91 (2022) - [j57]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): 1533-1585 (2022) - [j56]Jiashun Hu, Buyang Li:
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow. Numerische Mathematik 152(1): 127-181 (2022) - [j55]Xinping Gui, Buyang Li, Jilu Wang:
Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps. SIAM J. Numer. Anal. 60(1): 312-338 (2022) - [j54]Buyang Li, Shu Ma:
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data. SIAM J. Numer. Anal. 60(2): 503-528 (2022) - [j53]Buyang Li, Shu Ma, Katharina Schratz:
A Semi-implicit Exponential Low-Regularity Integrator for the Navier-Stokes Equations. SIAM J. Numer. Anal. 60(4): 2273-2292 (2022) - [i18]Buyang Li, Katharina Schratz, Franco Zivcovich:
A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation. CoRR abs/2203.15539 (2022) - [i17]Buyang Li, Yifei Wu:
An unfiltered low-regularity integrator for the KdV equation with solutions below H1. CoRR abs/2206.09320 (2022) - [i16]Buyang Li, Shu Ma, Weiwei Sun:
Optimal analysis of finite element methods for the stochastic Stokes equations. CoRR abs/2206.13879 (2022) - 2021
- [j52]Wei Jiang, Buyang Li:
A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves. J. Comput. Phys. 443: 110531 (2021) - [j51]Buyang Li, Shu Ma:
A High-order Exponential Integrator for Nonlinear Parabolic Equations with Nonsmooth Initial Data. J. Sci. Comput. 87(1): 23 (2021) - [j50]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): 70 (2021) - [j49]Dmitriy Leykekhman, Buyang Li:
Weak discrete maximum principle of finite element methods in convex polyhedra. Math. Comput. 90(327): 1-18 (2021) - [j48]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): 283-304 (2021) - [j47]Buyang Li, Yifei Wu:
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. Numerische Mathematik 149(1): 151-183 (2021) - [j46]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numerische Mathematik 149(3): 595-643 (2021) - [j45]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): 265-288 (2021) - [j44]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): 1566-1591 (2021) - [j43]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): 1592-1617 (2021) - [i15]Buyang Li, Shu Ma, Yuki Ueda:
Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. CoRR abs/2101.02444 (2021) - [i14]Buyang Li:
Convergence of Dziuk's semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements. CoRR abs/2101.03703 (2021) - [i13]Buyang Li, Yifei Wu:
A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation. CoRR abs/2101.03728 (2021) - [i12]Wei Jiang, Buyang Li:
A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves. CoRR abs/2102.00374 (2021) - [i11]Balázs Kovács, Buyang Li:
Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. CoRR abs/2106.07951 (2021) - [i10]Buyang Li, Shu Ma, Katharina Schratz:
A semi-implicit low-regularity integrator for Navier-Stokes equations. CoRR abs/2107.13427 (2021) - 2020
- [j42]Bangti Jin, Buyang Li, Zhi Zhou:
Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping. Numerische Mathematik 145(4): 883-913 (2020) - [j41]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): 189-210 (2020) - [j40]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): 430-459 (2020) - [j39]Buyang Li:
Convergence of Dziuk's Linearly Implicit Parametric Finite Element Method for Curve Shortening Flow. SIAM J. Numer. Anal. 58(4): 2315-2333 (2020) - [j38]Buyang Li, Yuki Ueda, Guanyu Zhou:
A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems. SIAM J. Numer. Anal. 58(5): 2736-2763 (2020) - [j37]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): A3957-A3978 (2020) - [i9]Bangti Jin, Buyang Li, Zhi Zhou:
Subdiffusion with Time-Dependent Coefficients: Improved Regularity and Second-Order Time Stepping. CoRR abs/2004.11151 (2020) - [i8]Buyang Li:
Maximal regularity of multistep fully discrete finite element methods for parabolic equations. CoRR abs/2005.01408 (2020) - [i7]Xiaobing Feng, Buyang Li, Shu Ma:
High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. CoRR abs/2006.05073 (2020) - [i6]Buyang Li, Weifeng Qiu:
A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density. CoRR abs/2007.13292 (2020) - [i5]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent evolving finite element algorithm for Willmore flow of closed surfaces. CoRR abs/2007.15257 (2020) - [i4]Buyang Li, Jiang Yang, Zhi Zhou:
Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations. CoRR abs/2010.08789 (2020) - [i3]Buyang Li, Shu Ma:
A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data. CoRR abs/2011.07709 (2020)
2010 – 2019
- 2019
- [j36]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): 1-44 (2019) - [j35]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): 1715-1741 (2019) - [j34]Bangti Jin, Buyang Li, Zhi Zhou:
Subdiffusion with a time-dependent coefficient: Analysis and numerical solution. Math. Comput. 88(319): 2157-2186 (2019) - [j33]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): 1009-1042 (2019) - [j32]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): 1043-1077 (2019) - [j31]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. Numerische Mathematik 143(4): 797-853 (2019) - [j30]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): A3703-A3727 (2019) - [i2]Dmitriy Leykekhman, Buyang Li:
Weak discrete maximum principle of finite element methods in convex polyhedra. CoRR abs/1909.06783 (2019) - [i1]Balázs Kovács, Buyang Li, Christian Lubich:
A convergent algorithm for mean curvature flow driven by diffusion on the surface. CoRR abs/1912.05924 (2019) - 2018
- [j29]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): 1109-1130 (2018) - [j28]Weihua Deng, Buyang Li, WenYi Tian, Pingwen Zhang:
Boundary Problems for the Fractional and Tempered Fractional Operators. Multiscale Model. Simul. 16(1): 125-149 (2018) - [j27]Bangti Jin, Buyang Li, Zhi Zhou:
Discrete maximal regularity of time-stepping schemes for fractional evolution equations. Numerische Mathematik 138(1): 101-131 (2018) - [j26]Bangti Jin, Buyang Li, Zhi Zhou:
Numerical Analysis of Nonlinear Subdiffusion Equations. SIAM J. Numer. Anal. 56(1): 1-23 (2018) - [j25]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): 397-427 (2018) - [j24]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): 766-791 (2018) - [j23]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): 3249-3275 (2018) - [j22]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): A4083-A4104 (2018) - 2017
- [j21]Buyang Li, Jun Liu, Mingqing Xiao:
A new multigrid method for unconstrained parabolic optimal control problems. J. Comput. Appl. Math. 326: 358-373 (2017) - [j20]Buyang Li, Weiwei Sun:
Maximal Lp analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra. Math. Comput. 86(305): 1071-1102 (2017) - [j19]Georgios Akrivis, Buyang Li, Christian Lubich:
Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations. Math. Comput. 86(306): 1527-1552 (2017) - [j18]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): 1579-1608 (2017) - [j17]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): 383-409 (2017) - [j16]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): 643-689 (2017) - [j15]Buyang Li, Weiwei Sun:
Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations. SIAM J. Numer. Anal. 55(2): 521-542 (2017) - [j14]Bangti Jin, Buyang Li, Zhi Zhou:
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations. SIAM J. Sci. Comput. 39(6) (2017) - 2016
- [j13]Balázs Kovács, Buyang Li, Christian Lubich:
A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. SIAM J. Numer. Anal. 54(6): 3600-3624 (2016) - 2015
- [j12]Kui Du, Buyang Li, Weiwei Sun:
A numerical study on the stability of a class of Helmholtz problems. J. Comput. Phys. 287: 46-59 (2015) - [j11]Buyang Li, Zhimin Zhang:
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations. J. Comput. Phys. 303: 238-250 (2015) - [j10]Buyang Li:
Maximum-norm stability and maximal Lp regularity of FEMs for parabolic equations with Lipschitz continuous coefficients. Numerische Mathematik 131(3): 489-516 (2015) - [j9]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): 1418-1437 (2015) - [j8]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) - 2014
- [j7]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): 933-954 (2014) - [j6]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): 1183-1202 (2014) - [j5]Buyang Li, Weiwei Sun:
Linearized FE Approximations to a Nonlinear Gradient Flow. SIAM J. Numer. Anal. 52(6): 2623-2646 (2014) - 2013
- [j4]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): 88-111 (2013) - [j3]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): 1959-1977 (2013) - 2012
- [j2]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): 1448-1473 (2012) - 2010
- [j1]Buyang Li, Weiwei Sun:
Global Existence of Weak Solution for Nonisothermal Multicomponent Flow in Porous Textile Media. SIAM J. Math. Anal. 42(6): 3076-3102 (2010)
Coauthor Index
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