Edit Profile (opens in new tab) Li, Jichun Compute Distance To: Compute Author ID: li.jichun Published as: Li, Jichun; Li, J.; Li, Jichun. more...less Homepage: http://jichun.faculty.unlv.edu// External Links: MGP · Google Scholar · dblp Documents Indexed: 152 Publications since 1991, including 3 Books 2 Contributions as Editor Reviewing Activity: 34 Reviews Co-Authors: 60 Co-Authors with 107 Joint Publications 2,938 Co-Co-Authors all top 5 Co-Authors 37 single-authored 44 Huang, Yunqing 20 Yang, Wei 11 Chen, Yitung 8 Chen, Ching-Shyang 8 Fang, Zhiwei 5 Jia, Hongen 5 Machorro, Eric A. 4 Lin, Yanping 4 Navon, Ionel Michael 4 Shu, Chi-Wang 4 Wang, Xiang 3 He, Bin 3 Hon, Yiu-Chung 3 Shields, Sidney 3 Wu, Chao 2 Chen, Min 2 Guo, Yayu 2 Li, Hong 2 Li, Ming 2 Lin, Qun 2 Liu, Yang 2 Meng, Chen 2 Pepper, Darrell W. 2 Shi, Cengke 2 Sun, Shuyu 2 Waters, Jiajia Wang 2 Wood, Aihua W. 2 Wu, Qiguang 2 Yang, Hongtao 2 Zhang, Shangyou 2 Zhang, Zhimin 2 Zhu, Li 1 Arbogast, Todd 1 Chang, Wanru 1 Chen, Ke 1 Cheng, Alexander H.-D. 1 Dai, Jianhua 1 Demkowicz, Leszek F. 1 Ding, Lei 1 Dou, Fangfang 1 Du, Yanwei 1 Elander, Valjean 1 Fan, Zhuowan 1 He, Siriguleng 1 Hesthaven, Jan S. 1 Huang, Yungqing 1 Jia, Xiaofeng 1 Kuhn, Günther 1 Li, Chanjie 1 Li, Dan 1 Li, Jessica C. 1 Li, Jianwei 1 Li, WeiBing 1 Liao, Bolin 1 Lin, Guang 1 Liu, Guoqing 1 Liu, Xiaoyan 1 Mai, Yiu-Wing 1 Matsumoto, Junji 1 Mishuris, Gennady S. 1 Nan, Bing 1 Neda, Monika 1 Qu, Kai 1 Shen, Shu-Hui 1 Sun, Ming 1 Sun, Pengtao 1 Visbal, Miguel R. 1 Wang, Peizhen 1 Wheeler, Mary Fanett 1 Xiao, Lin 1 Yang, Song 1 Ye, Xiu 1 Yu, Xinyue 1 Zheng, Hui 1 Zhou, Aihui 1 Zhou, Xu all top 5 Serials 19 Computers & Mathematics with Applications 15 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational and Applied Mathematics 11 Journal of Scientific Computing 9 Journal of Computational Physics 9 Numerical Methods for Partial Differential Equations 5 Engineering Analysis with Boundary Elements 4 Mathematics and Computers in Simulation 4 Applied Numerical Mathematics 4 Advances in Computational Mathematics 4 Advances in Applied Mathematics and Mechanics 3 Numerische Mathematik 3 Communications in Numerical Methods in Engineering 3 International Journal of Numerical Analysis and Modeling 3 Communications in Computational Physics 3 Results in Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Computational Mechanics 2 Applied Mathematics Letters 2 SIAM Journal on Scientific Computing 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Numerical Functional Analysis and Optimization 1 Numerical Mathematics 1 Journal of Computational Mathematics 1 Neural Networks 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Study 1 Computational Methods in Applied Mathematics 1 International Journal of Fatigue 1 Journal of Numerical Mathematics 1 Contemporary Mathematics 1 Springer Series in Computational Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 Scientia Sinica. Mathematica 1 International Journal of Numerical Analysis and Modeling. Series B 1 Annals of Applied Mathematics 1 Annals of Mathematical Sciences and Applications 1 Textbooks in Mathematics all top 5 Fields 139 Numerical analysis (65-XX) 100 Partial differential equations (35-XX) 85 Optics, electromagnetic theory (78-XX) 15 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 4 Geophysics (86-XX) 3 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 1,495 times in 798 Documents Cited by ▼ Year ▼ Time-domain finite element methods for Maxwell’s equations in metamaterials. Zbl 1304.78002Li, Jichun; Huang, Yunqing 86 2013 Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132Li, Jichun; Hon, Y. C.; Chen, C. S. 50 2002 Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134Zhou, X.; Hon, Y. C.; Li, Jichun 49 2003 Domain decomposition for radial basis meshless methods. Zbl 1048.65124Li, Jichun; Hon, Y. C. 49 2004 A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang 47 2003 Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type. Zbl 0907.65109Li, J.; Navon, I. M. 44 1998 High-order compact ADI methods for parabolic equations. Zbl 1121.65092Li, Jichun; Chen, Yitung; Liu, Guoqing 37 2006 Developing finite element methods for Maxwell’s equations in a Cole-Cole dispersive medium. Zbl 1238.65097Li, Jichun; Huang, Yunqing; Lin, Yanping 37 2011 High-order compact schemes for nonlinear dispersive waves. Zbl 1089.76043Li, Jichun; Visbal, Miguel R. 35 2006 Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327Li, Jichun; Hesthaven, Jan S. 33 2014 Superconvergence analysis for time-dependent Maxwell’s equations in metamaterials. Zbl 1252.78030Huang, Yunqing; Li, Jichun; Lin, Qun 31 2012 A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative. Zbl 1443.65210Liu, Yang; Du, Yanwei; Li, Hong; Li, Jichun; He, Siriguleng 31 2015 Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials. Zbl 1370.74143Li, Jichun; Shi, Cengke; Shu, Chi-Wang 30 2017 Full-order convergence of a mixed finite element method for fourth-order elliptic equations. Zbl 0923.65074Li, Jichun 29 1999 Superconvergence analysis for Maxwell’s equations in dispersive media. Zbl 1136.78015Lin, Qun; Li, Jichun 28 2008 High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation. Zbl 1412.65150Liu, Yang; Zhang, Min; Li, Hong; Li, Jichun 28 2017 Uniform convergence and superconvergence of mixed finite element methods on anisotropically refined grids. Zbl 0974.65106Li, Jichun; Wheeler, Mary F. 27 2000 Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type. Zbl 0936.65134Li, Jichun; Navon, I. M. 24 1998 Superconvergence of mixed finite element approximations to 3-D Maxwell’s equations in metamaterials. Zbl 1230.78029Huang, Yunqing; Li, Jichun; Yang, Wei; Sun, Shuyu 24 2011 Numerical convergence and physical fidelity analysis for Maxwell’s equations in metamaterials. Zbl 1229.78024Li, Jichun 24 2009 Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems. Zbl 0976.65094Li, Jichun 23 2001 Interior penalty DG methods for Maxwell’s equations in dispersive media. Zbl 1220.78015Huang, Yunqing; Li, Jichun; Yang, Wei 22 2011 Superconvergence analysis for linear tetrahedral edge elements. Zbl 1310.78015Huang, Yunqing; Li, Jichun; Wu, Chao; Yang, Wei 22 2015 The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes. Zbl 1328.65210Li, Jichun; Sun, Shuyu 21 2015 Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems. Zbl 1067.65117Li, Jichun 19 2005 Error analysis of fully discrete mixed finite element schemes for 3-D Maxwell’s equations in dispersive media. Zbl 1173.78319Li, Jichun 19 2007 Analysis of a time-domain finite element method for 3-D Maxwell’s equations in dispersive media. Zbl 1131.78008Li, Jichun; Chen, Yitung 19 2006 The full approximation accuracy for the stream function-vorticity- pressure method. Zbl 0823.65110Zhou, Aihui; Li, Jichun 19 1994 Radial basis function method for 1-D and 2-D groundwater contaminant transport modeling. Zbl 1045.76548Li, J.; Chen, Y.; Pepper, D. 19 2003 Finite element analysis for wave propagation in double negative metamaterials. Zbl 1143.78367Li, Jichun; Wood, Aihua 18 2007 Modeling backward wave propagation in metamaterials by the finite element time-domain method. Zbl 1274.78090Huang, Yunqing; Li, Jichun; Yang, Wei 18 2013 Quasioptimal uniformly convergent finite element methods for the elliptic boundary layer problem. Zbl 0885.65119Li, J. 18 1997 Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504Li, Jichun; Chen, C. S. 18 2003 Error analysis of finite element methods for 3-D Maxwell’s equations in dispersive media. Zbl 1130.65316Li, Jichun 17 2006 A radial basis meshless method for solving inverse boundary value problems. Zbl 1035.65118Li, Jichun 17 2004 Weak Galerkin methods for time-dependent Maxwell’s equations. Zbl 1397.65192Shields, Sidney; Li, Jichun; Machorro, Eric A. 17 2017 Averaging for superconvergence: verification and application of 2D edge elements to Maxwell’s equations in metamaterials. Zbl 1297.78016Huang, Yunqing; Li, Jichun; Wu, Chao 16 2013 An adaptive edge finite element method for electromagnetic cloaking simulation. Zbl 1304.78014Li, Jichun; Huang, Yunqing; Yang, Wei 15 2013 Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems. Zbl 1106.65081Li, Jichun 14 2006 Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements. Zbl 0946.65113Li, Jichun; Navon, I. M. 14 1999 Development of discontinuous Galerkin methods for Maxwell’s equations in metamaterials and perfectly matched layers. Zbl 1252.78032Li, Jichun 14 2011 Superconvergence analysis of Yee scheme for metamaterial Maxwell’s equations on non-uniform rectangular meshes. Zbl 1359.78025Li, Jichun; Shields, Sidney 14 2016 Mixed methods for fourth-order elliptic and parabolic problems using radial basis functions. Zbl 1069.65107Li, Jichun 13 2005 Mathematical analysis and time-domain finite element simulation of carpet cloak. Zbl 1302.65252Li, Jichun; Huang, Yunqing; Yang, Wei; Wood, Aihua 13 2014 An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials. Zbl 1253.78008Li, Jichun; Waters, Jiajia Wang; Machorro, Eric A. 13 2012 Unified analysis of leap-frog methods for solving time-domain Maxwell’s equations in dispersive media. Zbl 1230.78030Li, Jichun 13 2011 Interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma. Zbl 1203.78045Huang, Yunqing; Li, Jichun 12 2009 Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks. Zbl 1242.78030Li, Jichun; Huang, Yunqing; Yang, Wei 12 2012 Radial basis functions for solving near singular Poisson problems. Zbl 1018.65131Chen, C. S.; Kuhn, G.; Li, J.; Mishuris, G. 12 2003 High-order finite difference schemes for differential equations containing higher derivatives. Zbl 1090.65101Li, Jichun 11 2005 Error analysis of mixed finite element methods for wave propagation in double negative metamaterials. Zbl 1153.65089Li, Jichun 11 2007 Numerical simulations of cloaking problems using a DPG method. Zbl 1311.78011Demkowicz, L.; Li, Jichun 11 2013 Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures. Zbl 1359.78016Huang, Yunqing; Li, Jichun; Yang, Wei 10 2016 Developing weak Galerkin finite element methods for the wave equation. Zbl 1377.65129Huang, Yunqing; Li, Jichun; Li, Dan 10 2017 Mixed methods using standard conforming finite elements. Zbl 1229.76052Li, Jichun; Arbogast, Todd; Huang, Yunqing 9 2009 Simulating backward wave propagation in metamaterial with radial basis functions. Zbl 1451.78043Li, Jichun; Nan, Bing 9 2019 A posteriori error estimation for an interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma. Zbl 1262.65173Li, Jichun 9 2009 Development and analysis of Crank-Nicolson scheme for metamaterial Maxwell’s equations on nonuniform rectangular grids. Zbl 1407.78026Wang, Xiang; Li, Jichun; Fang, Zhiwei 8 2018 Mathematical and numerical study of wave propagation in negative-index materials. Zbl 1194.78014Li, Jichun; Chen, Yitung; Elander, Valjean 7 2008 Mathematical analysis of a PML model obtained with stretched coordinates and its application to backward wave propagation in metamaterials. Zbl 1308.78023Huang, Yunqing; Li, Jichun; Yang, Wei 7 2014 Mathematical justification for RBF-MFS. Zbl 1014.65123Li, Jichun 7 2001 Optimal error estimates of mixed finite element methods for a fourth-order nonlinear elliptic problem. Zbl 1123.65110Li, Jichun 7 2007 Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method. Zbl 1423.78021Yang, Wei; Li, Jichun; Huang, Yunqing 7 2016 A robust finite element method for a singularly perturbed elliptic problem with two small parameters. Zbl 0933.65137Li, J. 7 1998 Unified analysis of time domain mixed finite element methods for Maxwell’s equations in dispersive media. Zbl 1240.78024Li, Jichun; Zhang, Zhimin 7 2010 Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes. Zbl 1462.65156Shi, Cengke; Li, Jichun; Shu, Chi-Wang 7 2018 Efficient stochastic Galerkin methods for Maxwell’s equations with random inputs. Zbl 1416.78025Fang, Zhiwei; Li, Jichun; Tang, Tao; Zhou, Tao 7 2019 Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential. Zbl 1434.65181Guo, Yayu; Jia, Hongen; Li, Jichun; Li, Ming 7 2020 Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks. Zbl 1308.78024Li, Jichun; Huang, Yunqing; Yang, Wei 7 2015 Mathematical analysis and finite element time domain simulation of arbitrary star-shaped electromagnetic cloaks. Zbl 1421.78026Yang, Wei; Li, Jichun; Huang, Yunqing 7 2018 Uniform convergence analysis for singularly perturbed elliptic problems with parabolic layers. Zbl 1174.65508Li, Jichun; Chen, Yitung 6 2008 Numerical analysis of a PML model for time-dependent Maxwell’s equations. Zbl 1220.78112Huang, Yunqing; Li, Jichun 6 2011 Solving metamaterial Maxwell’s equations via a vector wave integro-differential equation. Zbl 1252.78031Huang, Yunqing; Li, Jichun; Yang, Wei 6 2012 Finite element study of time-dependent Maxwell’s equations in dispersive media. Zbl 1144.78329Li, Jichun; Chen, Yitung 6 2008 Developing and analyzing fourth-order difference methods for the metamaterial Maxwell’s equations. Zbl 1428.65011Li, Jichun; Chen, Meng; Chen, Min 6 2019 A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306Li, Jichun; Ye, Xiu; Zhang, Shangyou 6 2018 Analysis of a novel finite element method for a modified Cahn-Hilliard-Hele-Shaw system. Zbl 1436.65184Jia, Hongen; Guo, Yayu; Li, Jichun; Huang, Yunqing 6 2020 Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell’s equations. Zbl 1439.65174Huang, Yunqing; Li, Jichun; Wu, Chao 6 2018 Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007Li, Jichun; Fang, Zhiwei; Lin, Guang 6 2018 Numerical analysis of a leapfrog ADI-FDTD method for Maxwell’s equations in lossy media. Zbl 1428.65008Huang, Yunqing; Chen, Meng; Li, Jichun; Lin, Yanping 6 2018 Developing a time-domain finite element method for the Lorentz metamaterial model and applications. Zbl 1373.78425Yang, Wei; Huang, Yunqing; Li, Jichun 6 2016 Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media. Zbl 1279.78017Huang, Yunqing; Li, Jichun; Lin, Yanping 5 2013 Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems. Zbl 1002.65116Li, Jichun 5 2002 Convergence analysis of finite element methods for singularly perturbed problems. Zbl 0961.65069Li, Jichun 5 2000 A literature survey of mathematical study of metamaterials. Zbl 1350.78006Li, Jichun 5 2016 Mesh-free method for groundwater modeling. Zbl 1086.76562Li, J.; Chen, C. S.; Pepper, D.; Chen, Y. 4 2002 Multiblock mixed finite element methods for singularly perturbed problems. Zbl 0965.65126Li, Jichun 4 2000 A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem. Zbl 0937.65114Li, Jichun; Navon, I. M. 4 1999 Global pointwise error estimates for uniformly convergent finite element methods for the elliptic boundary layer problem. Zbl 0936.65129Li, J. 4 1998 Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell’s equations. Zbl 1388.78012Sun, Ming; Li, Jichun; Wang, Peizhen; Zhang, Zhimin 4 2018 Numerical solutions for singularly perturbed semi-linear parabolic equation. Zbl 0786.65079Wu, Qiguang; Li, Jichun 4 1993 Finite element study of the Lorentz model in metamaterials. Zbl 1225.78011Li, Jichun 4 2011 A new noise-tolerant and predefined-time ZNN model for time-dependent matrix inversion. Zbl 1450.65031Xiao, Lin; Zhang, Yongsheng; Dai, Jianhua; Chen, Ke; Yang, Song; Li, Weibing; Liao, Bolin; Ding, Lei; Li, Jichun 4 2019 Development and analysis of a new finite element method for the Cohen-Monk PML model. Zbl 1459.65181Chen, Meng; Huang, Yunqing; Li, Jichun 4 2021 A new FDTD scheme for Maxwell’s equations in Kerr-type nonlinear media. Zbl 1433.78029Jia, Hongen; Li, Jichun; Fang, Zhiwei; Li, Ming 4 2019 Two new finite element schemes and their analysis for modeling of wave propagation in graphene. Zbl 1469.78046Li, Jichun 4 2021 Decoupled characteristic stabilized finite element method for time-dependent Navier-Stokes/Darcy model. Zbl 1419.65064Jia, Xiaofeng; Li, Jichun; Jia, Hongen 3 2019 Numerical study of signal propagation in corrugated coaxial cables. Zbl 1457.65124Li, Jichun; Machorro, Eric A.; Shields, Sidney 3 2017 Computational partial differential equations using MATLAB. 2nd edition. Zbl 1429.65003Li, Jichun; Chen, Yi-Tung 3 2020 Analysis and application of an equivalent Berenger’s PML model. Zbl 1382.78018Huang, Yunqing; Jia, Hongen; Li, Jichun 3 2018 Simulation of electromagnetic wave propagations in negative index materials by the localized RBF-collocation method. Zbl 07496042Zheng, Hui; Fan, Zhuowan; Li, Jichun 3 2022 Development and analysis of a new finite element method for the Cohen-Monk PML model. Zbl 1459.65181Chen, Meng; Huang, Yunqing; Li, Jichun 4 2021 Two new finite element schemes and their analysis for modeling of wave propagation in graphene. Zbl 1469.78046Li, Jichun 4 2021 Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential. Zbl 1434.65181Guo, Yayu; Jia, Hongen; Li, Jichun; Li, Ming 7 2020 Analysis of a novel finite element method for a modified Cahn-Hilliard-Hele-Shaw system. Zbl 1436.65184Jia, Hongen; Guo, Yayu; Li, Jichun; Huang, Yunqing 6 2020 Computational partial differential equations using MATLAB. 2nd edition. Zbl 1429.65003Li, Jichun; Chen, Yi-Tung 3 2020 Mathematical analysis of Ziolkowski’s PML model with application for wave propagation in metamaterials. Zbl 1431.78010Huang, Yunqing; Li, Jichun; Fang, Zhiwei 3 2020 Optimal control for electromagnetic cloaking metamaterial parameters design. Zbl 1448.49049Fang, Zhiwei; Li, Jichun; Wang, Xiang 2 2020 Development and analysis of both finite element and fourth-order in space finite difference methods for an equivalent Berenger’s PML model. Zbl 1453.78009Huang, Yunqing; Chen, Min; Li, Jichun 2 2020 The LMAPS for solving fourth-order PDEs with polynomial basis functions. Zbl 07318113Chen, C. S.; Shen, Shu-Hui; Dou, Fangfang; Li, J. 2 2020 A leap-frog meshless method with radial basis functions for simulating electromagnetic wave splitter and rotator. Zbl 1464.78025He, Bin; Li, Jichun; Chen, Meng; Huang, Yunqing 1 2020 Time-domain finite element method and analysis for modeling of surface plasmon polaritons. Zbl 07337845Yang, Wei; Li, Jichun; Huang, Yunqing 1 2020 Simulating backward wave propagation in metamaterial with radial basis functions. Zbl 1451.78043Li, Jichun; Nan, Bing 9 2019 Efficient stochastic Galerkin methods for Maxwell’s equations with random inputs. Zbl 1416.78025Fang, Zhiwei; Li, Jichun; Tang, Tao; Zhou, Tao 7 2019 Developing and analyzing fourth-order difference methods for the metamaterial Maxwell’s equations. Zbl 1428.65011Li, Jichun; Chen, Meng; Chen, Min 6 2019 A new noise-tolerant and predefined-time ZNN model for time-dependent matrix inversion. Zbl 1450.65031Xiao, Lin; Zhang, Yongsheng; Dai, Jianhua; Chen, Ke; Yang, Song; Li, Weibing; Liao, Bolin; Ding, Lei; Li, Jichun 4 2019 A new FDTD scheme for Maxwell’s equations in Kerr-type nonlinear media. Zbl 1433.78029Jia, Hongen; Li, Jichun; Fang, Zhiwei; Li, Ming 4 2019 Decoupled characteristic stabilized finite element method for time-dependent Navier-Stokes/Darcy model. Zbl 1419.65064Jia, Xiaofeng; Li, Jichun; Jia, Hongen 3 2019 Improved analysis and simulation of a time-domain carpet cloak model. Zbl 1421.78024Li, Jichun; Meng, Chen; Huang, Yunqing 3 2019 Development and analysis of Crank-Nicolson scheme for metamaterial Maxwell’s equations on nonuniform rectangular grids. Zbl 1407.78026Wang, Xiang; Li, Jichun; Fang, Zhiwei 8 2018 Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes. Zbl 1462.65156Shi, Cengke; Li, Jichun; Shu, Chi-Wang 7 2018 Mathematical analysis and finite element time domain simulation of arbitrary star-shaped electromagnetic cloaks. Zbl 1421.78026Yang, Wei; Li, Jichun; Huang, Yunqing 7 2018 A weak Galerkin least-squares finite element method for div-curl systems. Zbl 1398.65306Li, Jichun; Ye, Xiu; Zhang, Shangyou 6 2018 Superconvergence analysis of second and third order rectangular edge elements with applications to Maxwell’s equations. Zbl 1439.65174Huang, Yunqing; Li, Jichun; Wu, Chao 6 2018 Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. Zbl 1440.78007Li, Jichun; Fang, Zhiwei; Lin, Guang 6 2018 Numerical analysis of a leapfrog ADI-FDTD method for Maxwell’s equations in lossy media. Zbl 1428.65008Huang, Yunqing; Chen, Meng; Li, Jichun; Lin, Yanping 6 2018 Superconvergence analysis of high-order rectangular edge elements for time-harmonic Maxwell’s equations. Zbl 1388.78012Sun, Ming; Li, Jichun; Wang, Peizhen; Zhang, Zhimin 4 2018 Analysis and application of an equivalent Berenger’s PML model. Zbl 1382.78018Huang, Yunqing; Jia, Hongen; Li, Jichun 3 2018 Analysis and application of stochastic collocation methods for Maxwell’s equations with random inputs. Zbl 1488.65509Li, Jichun; Fang, Zhiwei 1 2018 Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials. Zbl 1370.74143Li, Jichun; Shi, Cengke; Shu, Chi-Wang 30 2017 High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation. Zbl 1412.65150Liu, Yang; Zhang, Min; Li, Hong; Li, Jichun 28 2017 Weak Galerkin methods for time-dependent Maxwell’s equations. Zbl 1397.65192Shields, Sidney; Li, Jichun; Machorro, Eric A. 17 2017 Developing weak Galerkin finite element methods for the wave equation. Zbl 1377.65129Huang, Yunqing; Li, Jichun; Li, Dan 10 2017 Numerical study of signal propagation in corrugated coaxial cables. Zbl 1457.65124Li, Jichun; Machorro, Eric A.; Shields, Sidney 3 2017 Superconvergence analysis of Yee scheme for metamaterial Maxwell’s equations on non-uniform rectangular meshes. Zbl 1359.78025Li, Jichun; Shields, Sidney 14 2016 Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures. Zbl 1359.78016Huang, Yunqing; Li, Jichun; Yang, Wei 10 2016 Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method. Zbl 1423.78021Yang, Wei; Li, Jichun; Huang, Yunqing 7 2016 Developing a time-domain finite element method for the Lorentz metamaterial model and applications. Zbl 1373.78425Yang, Wei; Huang, Yunqing; Li, Jichun 6 2016 A literature survey of mathematical study of metamaterials. Zbl 1350.78006Li, Jichun 5 2016 Mathematical analysis and finite element simulation of a magnetized ferrite model. Zbl 1325.78010Li, Jichun; Huang, Yunqing; Yang, Wei 1 2016 A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative. Zbl 1443.65210Liu, Yang; Du, Yanwei; Li, Hong; Li, Jichun; He, Siriguleng 31 2015 Superconvergence analysis for linear tetrahedral edge elements. Zbl 1310.78015Huang, Yunqing; Li, Jichun; Wu, Chao; Yang, Wei 22 2015 The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes. Zbl 1328.65210Li, Jichun; Sun, Shuyu 21 2015 Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks. Zbl 1308.78024Li, Jichun; Huang, Yunqing; Yang, Wei 7 2015 Schemes and estimates for the long-time numerical solution of Maxwell’s equations for Lorentz metamaterials. Zbl 1334.78042Li, Jichun; Shaw, Simon 1 2015 A priori and posteriori error analysis for time-dependent Maxwell’s equations. Zbl 1423.78020Li, Jichun; Lin, Yanping 1 2015 Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327Li, Jichun; Hesthaven, Jan S. 33 2014 Mathematical analysis and time-domain finite element simulation of carpet cloak. Zbl 1302.65252Li, Jichun; Huang, Yunqing; Yang, Wei; Wood, Aihua 13 2014 Mathematical analysis of a PML model obtained with stretched coordinates and its application to backward wave propagation in metamaterials. Zbl 1308.78023Huang, Yunqing; Li, Jichun; Yang, Wei 7 2014 High-order compact difference methods for simulating wave propagations in excitable media. Zbl 1328.65177Li, Jichun.; Li, Jian-Wei 2 2014 Well-posedness study for a time-domain spherical cloaking model. Zbl 1369.78377Li, Jichun 2 2014 Time-domain finite element methods for Maxwell’s equations in metamaterials. Zbl 1304.78002Li, Jichun; Huang, Yunqing 86 2013 Modeling backward wave propagation in metamaterials by the finite element time-domain method. Zbl 1274.78090Huang, Yunqing; Li, Jichun; Yang, Wei 18 2013 Averaging for superconvergence: verification and application of 2D edge elements to Maxwell’s equations in metamaterials. Zbl 1297.78016Huang, Yunqing; Li, Jichun; Wu, Chao 16 2013 An adaptive edge finite element method for electromagnetic cloaking simulation. Zbl 1304.78014Li, Jichun; Huang, Yunqing; Yang, Wei 15 2013 Numerical simulations of cloaking problems using a DPG method. Zbl 1311.78011Demkowicz, L.; Li, Jichun 11 2013 Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media. Zbl 1279.78017Huang, Yunqing; Li, Jichun; Lin, Yanping 5 2013 Numerical study of the plasma-Lorentz model in metamaterials. Zbl 1268.78021Li, Jichun; Huang, Yunqing; Yang, Wei 1 2013 Superconvergence analysis for time-dependent Maxwell’s equations in metamaterials. Zbl 1252.78030Huang, Yunqing; Li, Jichun; Lin, Qun 31 2012 An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials. Zbl 1253.78008Li, Jichun; Waters, Jiajia Wang; Machorro, Eric A. 13 2012 Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks. Zbl 1242.78030Li, Jichun; Huang, Yunqing; Yang, Wei 12 2012 Solving metamaterial Maxwell’s equations via a vector wave integro-differential equation. Zbl 1252.78031Huang, Yunqing; Li, Jichun; Yang, Wei 6 2012 Optimal \(L^2\) error estimates for the interior penalty DG method for Maxwell’s equations in cold plasma. Zbl 1373.78420Li, Jichun 2 2012 Developing finite element methods for Maxwell’s equations in a Cole-Cole dispersive medium. Zbl 1238.65097Li, Jichun; Huang, Yunqing; Lin, Yanping 37 2011 Superconvergence of mixed finite element approximations to 3-D Maxwell’s equations in metamaterials. Zbl 1230.78029Huang, Yunqing; Li, Jichun; Yang, Wei; Sun, Shuyu 24 2011 Interior penalty DG methods for Maxwell’s equations in dispersive media. Zbl 1220.78015Huang, Yunqing; Li, Jichun; Yang, Wei 22 2011 Development of discontinuous Galerkin methods for Maxwell’s equations in metamaterials and perfectly matched layers. Zbl 1252.78032Li, Jichun 14 2011 Unified analysis of leap-frog methods for solving time-domain Maxwell’s equations in dispersive media. Zbl 1230.78030Li, Jichun 13 2011 Numerical analysis of a PML model for time-dependent Maxwell’s equations. Zbl 1220.78112Huang, Yunqing; Li, Jichun 6 2011 Finite element study of the Lorentz model in metamaterials. Zbl 1225.78011Li, Jichun 4 2011 Unified analysis of time domain mixed finite element methods for Maxwell’s equations in dispersive media. Zbl 1240.78024Li, Jichun; Zhang, Zhimin 7 2010 Numerical convergence and physical fidelity analysis for Maxwell’s equations in metamaterials. Zbl 1229.78024Li, Jichun 24 2009 Interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma. Zbl 1203.78045Huang, Yunqing; Li, Jichun 12 2009 Mixed methods using standard conforming finite elements. Zbl 1229.76052Li, Jichun; Arbogast, Todd; Huang, Yunqing 9 2009 A posteriori error estimation for an interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma. Zbl 1262.65173Li, Jichun 9 2009 Superconvergence analysis for Maxwell’s equations in dispersive media. Zbl 1136.78015Lin, Qun; Li, Jichun 28 2008 Mathematical and numerical study of wave propagation in negative-index materials. Zbl 1194.78014Li, Jichun; Chen, Yitung; Elander, Valjean 7 2008 Uniform convergence analysis for singularly perturbed elliptic problems with parabolic layers. Zbl 1174.65508Li, Jichun; Chen, Yitung 6 2008 Finite element study of time-dependent Maxwell’s equations in dispersive media. Zbl 1144.78329Li, Jichun; Chen, Yitung 6 2008 Error analysis of fully discrete mixed finite element schemes for 3-D Maxwell’s equations in dispersive media. Zbl 1173.78319Li, Jichun 19 2007 Finite element analysis for wave propagation in double negative metamaterials. Zbl 1143.78367Li, Jichun; Wood, Aihua 18 2007 Error analysis of mixed finite element methods for wave propagation in double negative metamaterials. Zbl 1153.65089Li, Jichun 11 2007 Optimal error estimates of mixed finite element methods for a fourth-order nonlinear elliptic problem. Zbl 1123.65110Li, Jichun 7 2007 High-order compact ADI methods for parabolic equations. Zbl 1121.65092Li, Jichun; Chen, Yitung; Liu, Guoqing 37 2006 High-order compact schemes for nonlinear dispersive waves. Zbl 1089.76043Li, Jichun; Visbal, Miguel R. 35 2006 Analysis of a time-domain finite element method for 3-D Maxwell’s equations in dispersive media. Zbl 1131.78008Li, Jichun; Chen, Yitung 19 2006 Error analysis of finite element methods for 3-D Maxwell’s equations in dispersive media. Zbl 1130.65316Li, Jichun 17 2006 Optimal convergence analysis of mixed finite element methods for fourth-order elliptic and parabolic problems. Zbl 1106.65081Li, Jichun 14 2006 Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems. Zbl 1067.65117Li, Jichun 19 2005 Mixed methods for fourth-order elliptic and parabolic problems using radial basis functions. Zbl 1069.65107Li, Jichun 13 2005 High-order finite difference schemes for differential equations containing higher derivatives. Zbl 1090.65101Li, Jichun 11 2005 Optimal uniform convergence analysis for a two-dimensional parabolic problem with two small parameters. Zbl 1075.65115Li, Jichun 2 2005 Domain decomposition for radial basis meshless methods. Zbl 1048.65124Li, Jichun; Hon, Y. C. 49 2004 A radial basis meshless method for solving inverse boundary value problems. Zbl 1035.65118Li, Jichun 17 2004 Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem. Zbl 1049.65119Li, J. 1 2004 Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134Zhou, X.; Hon, Y. C.; Li, Jichun 49 2003 A comparison of efficiency and error convergence of multiquadric collocation method and finite element method. Zbl 1044.76050Li, Jichun; Cheng, Alexander H.-D.; Chen, Ching-Shyang 47 2003 Radial basis function method for 1-D and 2-D groundwater contaminant transport modeling. Zbl 1045.76548Li, J.; Chen, Y.; Pepper, D. 19 2003 Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. Zbl 1062.65504Li, Jichun; Chen, C. S. 18 2003 Radial basis functions for solving near singular Poisson problems. Zbl 1018.65131Chen, C. S.; Kuhn, G.; Li, J.; Mishuris, G. 12 2003 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,109 Authors 93 Li, Jichun 53 Huang, Yunqing 27 Yang, Wei 25 Li, Hong 25 Liu, Yang 13 Hon, Yiu-Chung 12 Rui, Hongxing 12 Yao, Changhui 12 Zhang, Zhimin 10 Dehghan Takht Fooladi, Mehdi 10 He, Siriguleng 10 Ling, Leevan 9 Jia, Shanghui 9 Shi, Dongyang 9 Zhang, Shangyou 8 Bokil, Vrushali A. 8 Chen, Yanping 8 Fang, Zhichao 8 Jia, Hongen 8 Wang, Yuanming 8 Wu, Chao 7 Chen, Ching-Shyang 7 Fang, Zhiwei 7 Li, Xiaoli 7 Lin, Ji 7 Wang, Jinfeng 7 Ye, Xiu 6 Chen, Wen 6 Duan, Yong 6 Gürarslan, Gürhan 6 Li, Fengyan 6 Power, Henry 6 Sun, Shuyu 6 Wang, Lihua 6 Yi, Nianyu 6 Yin, Baoli 6 Yuan, Jinyun 6 Zhang, Yunxin 5 Chen, Wenbin 5 Cheng, Yingda 5 Dereli, Yılmaz 5 Du, Yanwei 5 Gao, Yixian 5 He, Bin 5 Jung, Jae-Hun 5 Lanteri, Stéphane 5 Li, Peijun 5 Liang, Dong 5 Lin, Qun 5 Navon, Ionel Michael 5 Nguyen, Duc Duy 5 Nicaise, Serge 5 Schaback, Robert 5 Shu, Chi-Wang 5 Wang, Hao 5 Wang, Junping 5 Wang, Lilian 5 Wang, Xiang 5 Zhao, Shan 4 Bai, Xixian 4 Cao, Liqun 4 Chen, Shaochun 4 Dağ, İdris 4 Eldho, T. I. 4 Feng, Xinlong 4 Gao, Wei 4 Kansa, Edward J. 4 Karageorghis, Andreas 4 Kong, Linghua 4 Li, Ming 4 Liao, Wenyuan 4 Lin, Yanping 4 Qin, Jinggang 4 Reutskiy, Sergiy Yu 4 Roos, Hans-Görg 4 Sarı, Murat 4 Scheid, Claire 4 Teofanov, Ljiljana 4 Wang, Bo 4 Wang, Chunmei 4 Wang, Jianyun 4 Wen, Pihua 4 Xie, Hehu 4 Yan, Yue 4 Yao, Guangming 3 Abbasbandy, Saeid 3 Ali, Arshed 3 Apel, Thomas 3 Bacuta, Constantin 3 Benrabah, Abderafik 3 Chen, Huangxin 3 Chen, Ronghua 3 Chen, Yitung 3 Deka, Bhupen 3 Dlamini, Phumlani Goodwill 3 Eremin, Yuri A. 3 Gao, Fuzheng 3 Han, Houde 3 Haq, Sirajul 3 Huang, Zhongyi ...and 1,009 more Authors all top 5 Cited in 123 Serials 89 Computers & Mathematics with Applications 81 Engineering Analysis with Boundary Elements 62 Journal of Computational and Applied Mathematics 51 Applied Mathematics and Computation 47 Journal of Scientific Computing 41 Journal of Computational Physics 31 Applied Numerical Mathematics 30 Computer Methods in Applied Mechanics and Engineering 22 Advances in Applied Mathematics and Mechanics 21 Numerical Methods for Partial Differential Equations 14 Applied Mathematical Modelling 13 SIAM Journal on Numerical Analysis 12 Advances in Computational Mathematics 11 Mathematics of Computation 11 SIAM Journal on Scientific Computing 10 International Journal of Computer Mathematics 10 Computational and Applied Mathematics 10 Communications in Computational Physics 10 Results in Applied Mathematics 9 Mathematics and Computers in Simulation 9 Computational Mechanics 9 Numerical Algorithms 7 International Journal for Numerical Methods in Engineering 7 International Journal of Numerical Analysis and Modeling 6 Journal of Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics Letters 5 Computational Methods in Applied Mathematics 4 Computer Physics Communications 4 Mathematical Methods in the Applied Sciences 4 Discrete and Continuous Dynamical Systems. 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(English Edition) 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Advances in Numerical Analysis 2 Science China. Mathematics 2 International Journal for Numerical Methods in Biomedical Engineering 2 Journal of Applied Analysis and Computation 2 Evolution Equations and Control Theory 2 Computational Methods for Differential Equations 2 International Journal of Applied and Computational Mathematics 1 Archive for Rational Mechanics and Analysis 1 Fluid Dynamics 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal for Numerical Methods in Fluids 1 Chaos, Solitons and Fractals 1 Computing 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of Complexity 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Tatra Mountains Mathematical Publications 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Discrete Dynamics in Nature and Society 1 Journal of Interdisciplinary Mathematics ...and 23 more Serials all top 5 Cited in 34 Fields 697 Numerical analysis (65-XX) 434 Partial differential equations (35-XX) 192 Optics, electromagnetic theory (78-XX) 123 Fluid mechanics (76-XX) 61 Mechanics of deformable solids (74-XX) 15 Real functions (26-XX) 15 Approximations and expansions (41-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Statistical mechanics, structure of matter (82-XX) 12 Ordinary differential equations (34-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Geophysics (86-XX) 9 Potential theory (31-XX) 9 Integral equations (45-XX) 9 Biology and other natural sciences (92-XX) 5 Integral transforms, operational calculus (44-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year