Jichun Li

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 42

Top Topics

Mathematical Analysis

Diffuse Optical Tomography

Top Venues

Comput. Math. Appl.

J. Comput. Appl. Math.

J. Sci. Comput.

J. Comput. Phys.

Publications

Fuhao Liu, Wei Yang, Jichun Li
A Finite Element Method for Hyperbolic Metamaterials with Applications for Hyperlens. SIAM J. Numer. Anal. 62 (3) (2024)
Jichun Li
Superconvergence analysis of finite element approximations to Maxwell's equations in both metamaterials and PMLs. Comput. Math. Appl. 172 (2024)
Yunqing Huang, Jichun Li, Bin He
Developing and Analyzing Some Novel Finite Element Schemes for the Electromagnetic Rotation Cloak Model. J. Sci. Comput. 100 (1) (2024)
Yunqing Huang, Jichun Li, Xuancen Yi, Haoke Zhao
Analysis and application of a time-domain finite element method for the Drude metamaterial perfectly matched layer model. J. Comput. Appl. Math. 438 (2024)
Jichun Li, Li Zhu, Todd Arbogast
A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets. Comput. Math. Appl. 142 (2023)
Fuhao Liu, Wei Yang, Jichun Li
A FETD scheme and analysis for photonic crystal waveguides comprising third-order nonlinear and linear materials. J. Comput. Appl. Math. 424 (2023)
Yunqing Huang, Jichun Li, Wei Yang
Developing and analyzing a finite element method for simulating wave propagation in graphene-based absorber. Comput. Math. Appl. 122 (2022)
Jichun Li, Chi-Wang Shu, Wei Yang
Development and analysis of two new finite element schemes for a time-domain carpet cloak model. Adv. Comput. Math. 48 (3) (2022)
Yunqing Huang, Jichun Li, Chanjie Li, Kai Qu
Discontinuous Galerkin discretizations and analysis for the Cohen-Monk PML model. J. Comput. Appl. Math. 407 (2022)
Jichun Li, Li Zhu
Analysis and application of a spatial fourth-order finite difference scheme for the Ziolkowski's PML model. J. Comput. Phys. 464 (2022)
Yunqing Huang, Jichun Li, Bin He
A time-domain finite element scheme and its analysis for nonlinear Maxwell's equations in Kerr media. J. Comput. Phys. 435 (2021)
Meng Chen, Yunqing Huang, Jichun Li
Development and analysis of a new finite element method for the Cohen-Monk PML model. Numerische Mathematik 147 (1) (2021)
Xiang Wang, Jessica Li, Jichun Li
High order approximation of derivatives with applications to pricing of financial derivatives. J. Comput. Appl. Math. 398 (2021)
Yunqing Huang, Meng Chen, Jichun Li
Developing and Analyzing New Unconditionally Stable Finite Element Schemes for Maxwell's Equations in Complex Media. J. Sci. Comput. 86 (3) (2021)
Yunqing Huang, Min Chen, Jichun Li
Development and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger's PML model. J. Comput. Phys. 405 (2020)
Yunqing Huang, Jichun Li, Zhiwei Fang
Mathematical analysis of Ziolkowski's PML model with application for wave propagation in metamaterials. J. Comput. Appl. Math. 366 (2020)
Hongen Jia, Yayu Guo, Jichun Li, Yunqing Huang
Analysis of a novel finite element method for a modified Cahn-Hilliard-Hele-Shaw system. J. Comput. Appl. Math. 376 (2020)
Yunqing Huang, Jichun Li
Numerical analysis of a finite element method for the electromagnetic concentrator model. Adv. Comput. Math. 46 (6) (2020)
Zhiwei Fang, Jichun Li, Xiang Wang
Optimal control for electromagnetic cloaking metamaterial parameters design. Comput. Math. Appl. 79 (4) (2020)
Jichun Li, Meng Chen, Min Chen
Developing and analyzing fourth-order difference methods for the metamaterial Maxwell's equations. Adv. Comput. Math. 45 (1) (2019)
Yunqing Huang, Jichun Li, Shangyou Zhang
Continuous mixed finite elements for the second order elliptic equation with a low order term. J. Comput. Appl. Math. 357 (2019)
Zhiwei Fang, Jichun Li, Tao Tang, Tao Zhou
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs. J. Sci. Comput. 80 (1) (2019)
Jichun Li, Chen Meng, Yunqing Huang
Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model. Comput. Methods Appl. Math. 19 (2) (2019)
Hongen Jia, Jichun Li, Zhiwei Fang, Ming Li
A new FDTD scheme for Maxwell's equations in Kerr-type nonlinear media. Numer. Algorithms 82 (1) (2019)
Ming Sun, Jichun Li, Peizhen Wang, Zhimin Zhang
Superconvergence Analysis of High-Order Rectangular Edge Elements for Time-Harmonic Maxwell's Equations. J. Sci. Comput. 75 (1) (2018)
Yunqing Huang, Meng Chen, Jichun Li, Yanping Lin
Numerical analysis of a leapfrog ADI-FDTD method for Maxwell's equations in lossy media. Comput. Math. Appl. 76 (4) (2018)
Yunqing Huang, Hongen Jia, Jichun Li
Analysis and application of an equivalent Berenger's PML model. J. Comput. Appl. Math. 333 (2018)
Wei Yang, Jichun Li, Yunqing Huang
Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks. SIAM J. Numer. Anal. 56 (1) (2018)
Cengke Shi, Jichun Li, Chi-Wang Shu
Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes. J. Comput. Appl. Math. 342 (2018)
Jichun Li, Xiu Ye, Shangyou Zhang
A weak Galerkin least-squares finite element method for div-curl systems. J. Comput. Phys. 363 (2018)
Jichun Li, Cengke Shi, Chi-Wang Shu
Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials. Comput. Math. Appl. 73 (8) (2017)
Sidney Shields, Jichun Li, Eric A. Machorro
Weak Galerkin methods for time-dependent Maxwell's equations. Comput. Math. Appl. 74 (9) (2017)
Jichun Li, Eric A. Machorro, Sidney Shields
Numerical study of signal propagation in corrugated coaxial cables. J. Comput. Appl. Math. 309 (2017)
Yang Liu, Min Zhang, Hong Li, Jichun Li
High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation. Comput. Math. Appl. 73 (6) (2017)
Yunqing Huang, Jichun Li, Wei Yang
Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures. Comput. Math. Appl. 72 (4) (2016)
Jichun Li, Sidney Shields
Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes. Numerische Mathematik 134 (4) (2016)
Wei Yang, Yunqing Huang, Jichun Li
Developing a Time-Domain Finite Element Method for the Lorentz Metamaterial Model and Applications. J. Sci. Comput. 68 (2) (2016)
Jichun Li, Yunqing Huang, Wei Yang
Mathematical analysis and finite element simulation of a magnetized ferrite model. J. Comput. Appl. Math. 292 (2016)
Yunqing Huang, Jichun Li, Chao Wu, Wei Yang
Superconvergence Analysis for Linear Tetrahedral Edge Elements. J. Sci. Comput. 62 (1) (2015)
Jichun Li, Shuyu Sun
The Superconvergence Phenomenon and Proof of the MAC Scheme for the Stokes Equations on Non-uniform Rectangular Meshes. J. Sci. Comput. 65 (1) (2015)
Jichun Li, Yunqing Huang, Wei Yang
Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks. Math. Comput. 84 (292) (2015)
Yang Liu, Yanwei Du, Hong Li, Jichun Li, Siriguleng He
A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative. Comput. Math. Appl. 70 (10) (2015)
Jichun Li
Well-posedness study for a time-domain spherical cloaking model. Comput. Math. Appl. 68 (12) (2014)
Jichun Li, Jan S. Hesthaven
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. J. Comput. Phys. 258 (2014)
Jichun Li, Yunqing Huang, Wei Yang, Aihua Wood
Mathematical Analysis and Time-Domain Finite Element Simulation of Carpet Cloak. SIAM J. Appl. Math. 74 (4) (2014)
Jichun Li, Yunqing Huang, Wei Yang
An adaptive edge finite element method for electromagnetic cloaking simulation. J. Comput. Phys. 249 (2013)
Jichun Li, Yunqing Huang, Wei Yang
Numerical Study of the Plasma-Lorentz Model in Metamaterials. J. Sci. Comput. 54 (1) (2013)
Yunqing Huang, Jichun Li, Wei Yang
Modeling Backward Wave Propagation in Metamaterials by the Finite Element Time-Domain Method. SIAM J. Sci. Comput. 35 (1) (2013)
Jichun Li, Yunqing Huang, Wei Yang
Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks. J. Comput. Phys. 231 (7) (2012)
Yunqing Huang, Jichun Li, Wei Yang
Solving metamaterial Maxwell's equations via a vector wave integro-differential equation. Comput. Math. Appl. 63 (12) (2012)
Yunqing Huang, Jichun Li, Wei Yang, Shuyu Sun
Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials. J. Comput. Phys. 230 (22) (2011)
Jichun Li, Yunqing Huang, Yanping Lin
Developing Finite Element Methods for Maxwell's Equations in a Cole-Cole Dispersive Medium. SIAM J. Sci. Comput. 33 (6) (2011)
Jichun Li
Development of discontinuous Galerkin methods for Maxwell's equations in metamaterials and perfectly matched layers. J. Comput. Appl. Math. 236 (5) (2011)
Jichun Li
Unified Analysis of Leap-Frog Methods for Solving Time-Domain Maxwell's Equations in Dispersive Media. J. Sci. Comput. 47 (1) (2011)
Yunqing Huang, Jichun Li, Wei Yang
Interior penalty DG methods for Maxwell's equations in dispersive media. J. Comput. Phys. 230 (12) (2011)
Yunqing Huang, Jichun Li
Numerical analysis of a PML model for time-dependent Maxwell's equations. J. Comput. Appl. Math. 235 (13) (2011)
Jichun Li
Corrigendum to "Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction-diffusion type" [Comput. Math. Appl 35 (3) (1998) 57-70]. Comput. Math. Appl. 59 (10) (2010)
Yunqing Huang, Jichun Li
Recent Advances in Time-Domain Maxwell's Equations in Metamaterials. HPCA (China) (2009)
Yunqing Huang, Jichun Li
Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma. J. Sci. Comput. 41 (3) (2009)
Qun Lin, Jichun Li
Superconvergence analysis for Maxwell's equations in dispersive media. Math. Comput. 77 (262) (2008)
Jichun Li, Aihua Wood
Finite Element Analysis for Wave Propagation in Double Negative Metamaterials. J. Sci. Comput. 32 (2) (2007)
Jichun Li, Miguel R. Visbal
High-order Compact Schemes for Nonlinear Dispersive Waves. J. Sci. Comput. 26 (1) (2006)
Jichun Li, Yitung Chen, Guoqing Liu
High-Order Compact ADI Methods for Parabolic Equations. Comput. Math. Appl. 52 (8-9) (2006)
Jichun Li
High-order finite difference schemes for differential equations containing higher derivatives. Appl. Math. Comput. 171 (2) (2005)
Jichun Li
Mixed methods for fourth-order elliptic and parabolic problems using radial basis functions. Adv. Comput. Math. 23 (1-2) (2005)
Jichun Li
Finite element analysis for a nonlinear diffusion model in image processing. Appl. Math. Lett. 15 (2) (2002)
Jichun Li, C. S. Chen
A simple efficient algorithm for interpolation between different grids in both 2D and 3D. Math. Comput. Simul. 58 (2) (2002)
Jichun Li, Mary F. Wheeler
Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids. SIAM J. Numer. Anal. 38 (3) (2000)
Jichun Li
An optimal order estimate for nonlinear hyperbolic conservation laws in two variables. Appl. Math. Lett. 13 (3) (2000)