Fengyan Li

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 31

Top Topics

Projection Method

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Maohui Lyu, Fengyan Li
Nodal discontinuous Galerkin methods for Maxwell's equations in Lorentz-Kerr-Raman medium without nonlinear algebraic solver. J. Comput. Phys. 515 (2024)
Zhichao Peng, Min Wang, Fengyan Li
A learning-based projection method for model order reduction of transport problems. J. Comput. Appl. Math. 418 (2023)
Haijin Wang, Fengyan Li, Chi-Wang Shu, Qiang Zhang
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. Math. Comput. 92 (344) (2023)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A micro-macro decomposed reduced basis method for the time-dependent radiative transfer equation. CoRR (2022)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A Reduced Basis Method for Radiative Transfer Equation. J. Sci. Comput. 91 (1) (2022)
Zhichao Peng, Fengyan Li
Asymptotic Preserving IMEX-DG-S Schemes for Linear Kinetic Transport Equations Based on Schur Complement. SIAM J. Sci. Comput. 43 (2) (2021)
Zhichao Peng, Min Wang, Fengyan Li
A learning-based projection method for model order reduction of transport problems. CoRR (2021)
Maohui Lyu, Vrushali A. Bokil, Yingda Cheng, Fengyan Li
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions. J. Sci. Comput. 89 (2) (2021)
Zhichao Peng, Yanlai Chen, Yingda Cheng, Fengyan Li
A reduced basis method for radiative transfer equation. CoRR (2021)
Daniel Appelö, Lu Zhang, Thomas M. Hagstrom, Fengyan Li
An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation. CoRR (2021)
Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li
Stability-enhanced AP IMEX1-LDG Method: Energy-based Stability and Rigorous AP Property. SIAM J. Numer. Anal. 59 (2) (2021)
Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li
Stability-enhanced AP IMEX-LDG schemes for linear kinetic transport equations under a diffusive scaling. J. Comput. Phys. 415 (2020)
Zhichao Peng, Fengyan Li
Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement. CoRR (2020)
Zhichao Peng, Yingda Cheng, Jing-Mei Qiu, Fengyan Li
Stability-enhanced AP IMEX1-LDG method: energy-based stability and rigorous AP property. CoRR (2020)
Zhichao Peng, Vrushali A. Bokil, Yingda Cheng, Fengyan Li
Asymptotic and positivity preserving methods for Kerr-Debye model with Lorentz dispersion in one dimension. J. Comput. Phys. 402 (2020)
Pei Fu, Yingda Cheng, Fengyan Li, Yan Xu
Accuracy for One Dimensional Linear PDEs with High Order Spatial Derivatives. J. Sci. Comput. 78 (2) (2019)
Yan Jiang, Puttha Sakkaplangkul, Vrushali A. Bokil, Yingda Cheng, Fengyan Li
Dispersion analysis of finite difference and discontinuous Galerkin schemes for Maxwell's equations in linear Lorentz media. J. Comput. Phys. 394 (2019)
Anqi Chen, Fengyan Li, Yingda Cheng
An Ultra-weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension. J. Sci. Comput. 78 (2) (2019)
Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li, Puttha Sakkaplangkul
High Spatial Order Energy Stable FDTD Methods for Maxwell's Equations in Nonlinear Optical Media in One Dimension. J. Sci. Comput. 77 (1) (2018)
Pei Fu, Fengyan Li, Yan Xu
Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations. J. Sci. Comput. 77 (3) (2018)
Yingda Cheng, Ching-Shan Chou, Fengyan Li, Yulong Xing
stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Math. Comput. 86 (303) (2017)
Sigal Gottlieb, Johnny Guzmán, Fengyan Li, Jennifer K. Ryan
Special Issue in Honor of Professor Chi-Wang Shu. J. Sci. Comput. 73 (2-3) (2017)
He Yang, Fengyan Li
Discontinuous Galerkin Methods for Relativistic Vlasov-Maxwell System. J. Sci. Comput. 73 (2-3) (2017)
Vrushali A. Bokil, Yingda Cheng, Yan Jiang, Fengyan Li
Energy stable discontinuous Galerkin methods for Maxwell's equations in nonlinear optical media. J. Comput. Phys. 350 (2017)
Maojun Li, Philippe Guyenne, Fengyan Li, Liwei Xu
A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations. J. Sci. Comput. 71 (3) (2017)
Maojun Li, Fengyan Li, Zhen Li, Liwei Xu
Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 38 (6) (2016)
Zhanjing Tao, Fengyan Li, Jianxian Qiu
High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions. J. Comput. Phys. 318 (2016)
Tao Xiong, Juhi Jang, Fengyan Li, Jing-Mei Qiu
High order asymptotic preserving nodal discontinuous Galerkin IMEX schemes for the BGK equation. J. Comput. Phys. 284 (2015)
Juhi Jang, Fengyan Li, Jing-Mei Qiu, Tao Xiong
High order asymptotic preserving DG-IMEX schemes for discrete-velocity kinetic equations in a diffusive scaling. J. Comput. Phys. 281 (2015)
Zhanjing Tao, Fengyan Li, Jianxian Qiu
High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws. J. Comput. Phys. 281 (2015)
Matthew A. Reyna, Fengyan Li
Operator Bounds and Time Step Conditions for the DG and Central DG Methods. J. Sci. Comput. 62 (2) (2015)
Yingda Cheng, Irene M. Gamba, Fengyan Li, Philip J. Morrison
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations. SIAM J. Numer. Anal. 52 (2) (2014)
Maojun Li, Philippe Guyenne, Fengyan Li, Liwei Xu
High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model. J. Comput. Phys. 257 (2014)
Juhi Jang, Fengyan Li, Jing-Mei Qiu, Tao Xiong
Analysis of Asymptotic Preserving DG-IMEX Schemes for Linear Kinetic Transport Equations in a Diffusive Scaling. SIAM J. Numer. Anal. 52 (4) (2014)
Sergey Yakovlev, Liwei Xu, Fengyan Li
Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations. J. Comput. Sci. 4 (1-2) (2013)
He Yang, Fengyan Li, Jianxian Qiu
Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods. J. Sci. Comput. 55 (3) (2013)
Yue Cheng, Fengyan Li, Jianxian Qiu, Liwei Xu
Positivity-preserving DG and central DG methods for ideal MHD equations. J. Comput. Phys. 238 (2013)
Fengyan Li, Liwei Xu
Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations. J. Comput. Phys. 231 (6) (2012)
Fengyan Li
On the Negative-Order Norm Accuracy of a Local-Structure-Preserving LDG Method. J. Sci. Comput. 51 (1) (2012)
Yong-Tao Zhang, Shanqin Chen, Fengyan Li, Hongkai Zhao, Chi-Wang Shu
Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. SIAM J. Sci. Comput. 33 (4) (2011)
Fengyan Li, Liwei Xu, Sergey Yakovlev
Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field. J. Comput. Phys. 230 (12) (2011)
Wei Guo, Fengyan Li, Jianxian Qiu
Local-Structure-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations. J. Sci. Comput. 47 (2) (2011)
Fengyan Li, Sergey Yakovlev
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations. J. Sci. Comput. 45 (1-3) (2010)
Susanne C. Brenner, Fengyan Li, Li-Yeng Sung
Nonconforming Maxwell Eigensolvers. J. Sci. Comput. 40 (1-3) (2009)
Susanne C. Brenner, Fengyan Li, Li-Yeng Sung
A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems. SIAM J. Numer. Anal. 46 (3) (2008)
Susanne C. Brenner, Jintao Cui, Fengyan Li, Li-Yeng Sung
A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem. Numerische Mathematik 109 (4) (2008)
Fengyan Li, Chi-Wang Shu, Yong-Tao Zhang, Hongkai Zhao
A second order discontinuous Galerkin fast sweeping method for Eikonal equations. J. Comput. Phys. 227 (17) (2008)
Susanne C. Brenner, Fengyan Li, Li-Yeng Sung
A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations. Math. Comput. 76 (258) (2007)
Fengyan Li, Chi-Wang Shu
Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations. J. Sci. Comput. 22 (1) (2005)
Fengyan Li, Chi-Wang Shu
Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations. Appl. Math. Lett. 18 (11) (2005)