Huang, Yunqing; Li, Jichun; Li, Chanjie; Qu, Kai Discontinuous Galerkin discretizations and analysis for the Cohen-Monk PML model. (English) Zbl 1483.65156 J. Comput. Appl. Math. 407, Article ID 114031, 19 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 78A25 78M10 35Q60 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Appl. Math. 407, Article ID 114031, 19 p. (2022; Zbl 1483.65156) Full Text: DOI OpenURL
Huang, Yunqing; Li, Jichun; He, Bin A time-domain finite element scheme and its analysis for nonlinear Maxwell’s equations in Kerr media. (English) Zbl 07503732 J. Comput. Phys. 435, Article ID 110259, 18 p. (2021). MSC: 78Mxx 78Axx 65Mxx PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Phys. 435, Article ID 110259, 18 p. (2021; Zbl 07503732) Full Text: DOI OpenURL
Huang, Yunqing; Chen, Meng; Li, Jichun Developing and analyzing new unconditionally stable finite element schemes for Maxwell’s equations in complex media. (English) Zbl 1465.65138 J. Sci. Comput. 86, No. 3, Paper No. 35, 33 p. (2021). MSC: 65N30 65M06 35L15 78A25 78M20 78M10 35Q61 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Sci. Comput. 86, No. 3, Paper No. 35, 33 p. (2021; Zbl 1465.65138) Full Text: DOI OpenURL
Fang, Zhiwei; Li, Jichun; Wang, Xiang Optimal control for electromagnetic cloaking metamaterial parameters design. (English) Zbl 1448.49049 Comput. Math. Appl. 79, No. 4, 1165-1176 (2020). MSC: 49S05 49K20 49N45 65N30 78A25 PDF BibTeX XML Cite \textit{Z. Fang} et al., Comput. Math. Appl. 79, No. 4, 1165--1176 (2020; Zbl 1448.49049) Full Text: DOI OpenURL
He, Bin; Li, Jichun; Chen, Meng; Huang, Yunqing A leap-frog meshless method with radial basis functions for simulating electromagnetic wave splitter and rotator. (English) Zbl 1464.78025 Eng. Anal. Bound. Elem. 118, 225-242 (2020). MSC: 78M22 65M70 35Q60 65D12 78A25 PDF BibTeX XML Cite \textit{B. He} et al., Eng. Anal. Bound. Elem. 118, 225--242 (2020; Zbl 1464.78025) Full Text: DOI OpenURL
Huang, Yunqing; Li, Jichun; Fang, Zhiwei Mathematical analysis of Ziolkowski’s PML model with application for wave propagation in metamaterials. (English) Zbl 1431.78010 J. Comput. Appl. Math. 366, Article ID 112434, 14 p. (2020). MSC: 78M10 65N30 35L15 65M06 78A25 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Appl. Math. 366, Article ID 112434, 14 p. (2020; Zbl 1431.78010) Full Text: DOI OpenURL
Li, Jichun; Nan, Bing Simulating backward wave propagation in metamaterial with radial basis functions. (English) Zbl 1451.78043 Results Appl. Math. 2, Article ID 100009, 9 p. (2019). MSC: 78M10 78M20 78M22 65N30 65M06 35L15 78A25 PDF BibTeX XML Cite \textit{J. Li} and \textit{B. Nan}, Results Appl. Math. 2, Article ID 100009, 9 p. (2019; Zbl 1451.78043) Full Text: DOI OpenURL
Huang, Yunqing; Meng, Chen; Li, Jichun Analysis and simulation of time-domain elliptical cloaks by the discontinuous Galerkin method. (English) Zbl 1441.78025 Singh, Vinai K. (ed.) et al., Advances in mathematical methods and high performance computing. Cham: Springer. Adv. Mech. Math. 41, 323-336 (2019). MSC: 78M10 78M20 78A40 65N30 65M06 35Q60 PDF BibTeX XML Cite \textit{Y. Huang} et al., Adv. Mech. Math. 41, 323--336 (2019; Zbl 1441.78025) Full Text: DOI OpenURL
Jia, Hongen; Li, Jichun; Fang, Zhiwei; Li, Ming A new FDTD scheme for Maxwell’s equations in Kerr-type nonlinear media. (English) Zbl 1433.78029 Numer. Algorithms 82, No. 1, 223-243 (2019). MSC: 78M20 35Q60 78A25 65M12 78A60 35C08 PDF BibTeX XML Cite \textit{H. Jia} et al., Numer. Algorithms 82, No. 1, 223--243 (2019; Zbl 1433.78029) Full Text: DOI OpenURL
Li, Jichun; Fang, Zhiwei Analysis and application of stochastic collocation methods for Maxwell’s equations with random inputs. (English) Zbl 07408337 Adv. Appl. Math. Mech. 10, No. 6, 1305-1326 (2018). MSC: 65M70 65M06 65N35 65M12 78A48 35B65 78M22 78M20 35Q61 35R60 PDF BibTeX XML Cite \textit{J. Li} and \textit{Z. Fang}, Adv. Appl. Math. Mech. 10, No. 6, 1305--1326 (2018; Zbl 07408337) Full Text: DOI OpenURL
Li, Jichun; Fang, Zhiwei; Lin, Guang Regularity analysis of metamaterial Maxwell’s equations with random coefficients and initial conditions. (English) Zbl 1440.78007 Comput. Methods Appl. Mech. Eng. 335, 24-51 (2018). MSC: 78M31 78M10 65M75 35B65 35Q61 35R60 78A25 PDF BibTeX XML Cite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 335, 24--51 (2018; Zbl 1440.78007) Full Text: DOI OpenURL
Huang, Yunqing; Chen, Meng; Li, Jichun; Lin, Yanping Numerical analysis of a leapfrog ADI-FDTD method for Maxwell’s equations in lossy media. (English) Zbl 1428.65008 Comput. Math. Appl. 76, No. 4, 938-956 (2018). MSC: 65M06 65M22 78A40 78M20 35Q61 PDF BibTeX XML Cite \textit{Y. Huang} et al., Comput. Math. Appl. 76, No. 4, 938--956 (2018; Zbl 1428.65008) Full Text: DOI OpenURL
Li, Jichun; Ye, Xiu; Zhang, Shangyou A weak Galerkin least-squares finite element method for div-curl systems. (English) Zbl 1398.65306 J. Comput. Phys. 363, 79-86 (2018). MSC: 65N30 78A25 78M10 PDF BibTeX XML Cite \textit{J. Li} et al., J. Comput. Phys. 363, 79--86 (2018; Zbl 1398.65306) Full Text: DOI OpenURL
Shi, Cengke; Li, Jichun; Shu, Chi-Wang Discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials on unstructured meshes. (English) Zbl 1462.65156 J. Comput. Appl. Math. 342, 147-163 (2018). MSC: 65M60 65M12 65M15 78A25 78M10 35Q61 PDF BibTeX XML Cite \textit{C. Shi} et al., J. Comput. Appl. Math. 342, 147--163 (2018; Zbl 1462.65156) Full Text: DOI OpenURL
Huang, Yunqing; Jia, Hongen; Li, Jichun Analysis and application of an equivalent Berenger’s PML model. (English) Zbl 1382.78018 J. Comput. Appl. Math. 333, 157-169 (2018). MSC: 78M10 65N30 35L15 78A40 78A25 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Appl. Math. 333, 157--169 (2018; Zbl 1382.78018) Full Text: DOI OpenURL
Li, Jichun; Shi, Cengke; Shu, Chi-Wang Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials. (English) Zbl 1370.74143 Comput. Math. Appl. 73, No. 8, 1760-1780 (2017). MSC: 74S05 65M60 65M12 65M15 35Q74 74F15 78A25 PDF BibTeX XML Cite \textit{J. Li} et al., Comput. Math. Appl. 73, No. 8, 1760--1780 (2017; Zbl 1370.74143) Full Text: DOI OpenURL
Li, Jichun; Machorro, Eric A.; Shields, Sidney Numerical study of signal propagation in corrugated coaxial cables. (English) Zbl 1457.65124 J. Comput. Appl. Math. 309, 230-243 (2017). MSC: 65M60 65M06 65M12 65M15 78A25 78A55 78M10 78M20 35B07 94A12 35Q60 PDF BibTeX XML Cite \textit{J. Li} et al., J. Comput. Appl. Math. 309, 230--243 (2017; Zbl 1457.65124) Full Text: DOI OpenURL
Yang, Wei; Huang, Yunqing; Li, Jichun Developing a time-domain finite element method for the Lorentz metamaterial model and applications. (English) Zbl 1373.78425 J. Sci. Comput. 68, No. 2, 438-463 (2016). MSC: 78M10 65N30 65F10 78A40 65M06 65M12 PDF BibTeX XML Cite \textit{W. Yang} et al., J. Sci. Comput. 68, No. 2, 438--463 (2016; Zbl 1373.78425) Full Text: DOI OpenURL
Huang, Yunqing; Li, Jichun; Yang, Wei Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures. (English) Zbl 1359.78016 Comput. Math. Appl. 72, No. 4, 921-932 (2016). MSC: 78A48 82D80 PDF BibTeX XML Cite \textit{Y. Huang} et al., Comput. Math. Appl. 72, No. 4, 921--932 (2016; Zbl 1359.78016) Full Text: DOI OpenURL
Li, Jichun; Shields, Sidney Superconvergence analysis of Yee scheme for metamaterial Maxwell’s equations on non-uniform rectangular meshes. (English) Zbl 1359.78025 Numer. Math. 134, No. 4, 741-781 (2016). Reviewer: Gunther Schmidt (Berlin) MSC: 78M20 65M06 65M12 35Q61 35L15 78A25 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Shields}, Numer. Math. 134, No. 4, 741--781 (2016; Zbl 1359.78025) Full Text: DOI OpenURL
Li, Jichun A literature survey of mathematical study of metamaterials. (English) Zbl 1350.78006 Int. J. Numer. Anal. Model. 13, No. 2, 230-243 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M20 65M06 92B05 35Q92 35Q60 78M10 78A40 78-02 78M40 PDF BibTeX XML Cite \textit{J. Li}, Int. J. Numer. Anal. Model. 13, No. 2, 230--243 (2016; Zbl 1350.78006) Full Text: Link OpenURL
Huang, Yunqing; Li, Jichun Some computational problems in electromagnetic wave simulations with metamaterials. (Chinese. English summary) Zbl 07449371 Sci. Sin., Math. 45, No. 7, 843-856 (2015). MSC: 74S05 78M10 65N30 78A25 74-02 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{J. Li}, Sci. Sin., Math. 45, No. 7, 843--856 (2015; Zbl 07449371) Full Text: DOI OpenURL
Huang, Yunqing; Li, Jichun Total reflection and cloaking by triangular defects embedded in zero index metamaterials. (English) Zbl 07402771 Adv. Appl. Math. Mech. 7, No. 2, 135-144 (2015). MSC: 78M10 65N30 35L15 78A40 78A50 35J05 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{J. Li}, Adv. Appl. Math. Mech. 7, No. 2, 135--144 (2015; Zbl 07402771) Full Text: DOI OpenURL
Li, Jichun; Shaw, Simon Schemes and estimates for the long-time numerical solution of Maxwell’s equations for Lorentz metamaterials. (English) Zbl 1334.78042 Int. J. Numer. Anal. Model. 12, No. 2, 343-365 (2015). MSC: 78M10 65M60 78A25 PDF BibTeX XML Cite \textit{J. Li} and \textit{S. Shaw}, Int. J. Numer. Anal. Model. 12, No. 2, 343--365 (2015; Zbl 1334.78042) Full Text: Link OpenURL
Li, Jichun Well-posedness study for a time-domain spherical cloaking model. (English) Zbl 1369.78377 Comput. Math. Appl. 68, No. 12, Part A, 1871-1881 (2014). MSC: 78A48 35Q61 35A01 35A02 PDF BibTeX XML Cite \textit{J. Li}, Comput. Math. Appl. 68, No. 12, Part A, 1871--1881 (2014; Zbl 1369.78377) Full Text: DOI OpenURL
Li, Jichun; Hesthaven, Jan S. Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. (English) Zbl 1349.74327 J. Comput. Phys. 258, 915-930 (2014). MSC: 74S05 78M10 65M60 74J05 78A40 PDF BibTeX XML Cite \textit{J. Li} and \textit{J. S. Hesthaven}, J. Comput. Phys. 258, 915--930 (2014; Zbl 1349.74327) Full Text: DOI Link OpenURL
Huang, Yunqing; Li, Jichun; Yang, Wei Mathematical analysis of a PML model obtained with stretched coordinates and its application to backward wave propagation in metamaterials. (English) Zbl 1308.78023 Numer. Methods Partial Differ. Equations 30, No. 5, 1558-1574 (2014). MSC: 78M10 78A40 35Q61 PDF BibTeX XML Cite \textit{Y. Huang} et al., Numer. Methods Partial Differ. Equations 30, No. 5, 1558--1574 (2014; Zbl 1308.78023) Full Text: DOI OpenURL
Demkowicz, L.; Li, Jichun Numerical simulations of cloaking problems using a DPG method. (English) Zbl 1311.78011 Comput. Mech. 51, No. 5, 661-672 (2013). MSC: 78A46 78M10 65N30 PDF BibTeX XML Cite \textit{L. Demkowicz} and \textit{J. Li}, Comput. Mech. 51, No. 5, 661--672 (2013; Zbl 1311.78011) Full Text: DOI OpenURL
Li, Jichun (ed.); Yang, Hongtao (ed.); Machorro, Eric (ed.) Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1–4, 2012. Proceedings. (English) Zbl 1264.65002 Contemporary Mathematics 586. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8737-0/hbk; 978-0-8218-9501-6/ebook). vii, 382 p. (2013). MSC: 65-06 65N55 65Z05 00A69 00A79 76M50 78A45 78M40 00B25 PDF BibTeX XML Cite \textit{J. Li} (ed.) et al., Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1--4, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1264.65002) Full Text: DOI OpenURL
Huang, Yunqing; Li, Jichun; Yang, Wei Modeling backward wave propagation in metamaterials by the finite element time-domain method. (English) Zbl 1274.78090 SIAM J. Sci. Comput. 35, No. 1, B248-B274 (2013). Reviewer: Pavel Burda (Praha) MSC: 78M10 78A40 65N30 35L15 35Q61 PDF BibTeX XML Cite \textit{Y. Huang} et al., SIAM J. Sci. Comput. 35, No. 1, B248--B274 (2013; Zbl 1274.78090) Full Text: DOI OpenURL
Li, Jichun; Huang, Yunqing; Yang, Wei Numerical study of the plasma-Lorentz model in metamaterials. (English) Zbl 1268.78021 J. Sci. Comput. 54, No. 1, 121-144 (2013). Reviewer: Johannes Elschner (Berlin) MSC: 78M10 65M60 78A45 PDF BibTeX XML Cite \textit{J. Li} et al., J. Sci. Comput. 54, No. 1, 121--144 (2013; Zbl 1268.78021) Full Text: DOI OpenURL
Li, Jichun; Huang, Yunqing Time-domain finite element methods for Maxwell’s equations in metamaterials. (English) Zbl 1304.78002 Springer Series in Computational Mathematics 43. Berlin: Springer (ISBN 978-3-642-33788-8/hbk; 978-3-642-33789-5/ebook). xii, 302 p. (2013). Reviewer: Gunther Schmidt (Berlin) MSC: 78-02 65M60 65-02 65M15 78A25 78M10 78A40 78A48 PDF BibTeX XML Cite \textit{J. Li} and \textit{Y. Huang}, Time-domain finite element methods for Maxwell's equations in metamaterials. Berlin: Springer (2013; Zbl 1304.78002) Full Text: DOI OpenURL
Li, Jichun Optimal \(L^2\) error estimates for the interior penalty DG method for Maxwell’s equations in cold plasma. (English) Zbl 1373.78420 Commun. Comput. Phys. 11, No. 2, 319-334 (2012). MSC: 78M10 65M60 65M15 78A25 PDF BibTeX XML Cite \textit{J. Li}, Commun. Comput. Phys. 11, No. 2, 319--334 (2012; Zbl 1373.78420) Full Text: DOI OpenURL
Li, Jichun; Waters, Jiajia Wang; Machorro, Eric A. An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell’s equations in metamaterials. (English) Zbl 1253.78008 Comput. Methods Appl. Mech. Eng. 223-224, 43-54 (2012). MSC: 78A25 78M10 65M60 PDF BibTeX XML Cite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 223--224, 43--54 (2012; Zbl 1253.78008) Full Text: DOI OpenURL
Li, Jichun Finite element study of the Lorentz model in metamaterials. (English) Zbl 1225.78011 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 626-637 (2011). MSC: 78M10 78A25 78A40 PDF BibTeX XML Cite \textit{J. Li}, Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 626--637 (2011; Zbl 1225.78011) Full Text: DOI OpenURL
Huang, Yunqing; Li, Jichun; Yang, Wei Interior penalty DG methods for Maxwell’s equations in dispersive media. (English) Zbl 1220.78015 J. Comput. Phys. 230, No. 12, 4559-4570 (2011). MSC: 78A25 78M25 65M60 PDF BibTeX XML Cite \textit{Y. Huang} et al., J. Comput. Phys. 230, No. 12, 4559--4570 (2011; Zbl 1220.78015) Full Text: DOI OpenURL
Huang, Yunqing; Li, Jichun Interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma. (English) Zbl 1203.78045 J. Sci. Comput. 41, No. 3, 321-340 (2009). MSC: 78M10 65M60 35A35 35Q61 78A25 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{J. Li}, J. Sci. Comput. 41, No. 3, 321--340 (2009; Zbl 1203.78045) Full Text: DOI OpenURL
Li, Jichun; Chen, Yitung; Elander, Valjean Mathematical and numerical study of wave propagation in negative-index materials. (English) Zbl 1194.78014 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3976-3987 (2008). MSC: 78A40 65N30 35L15 PDF BibTeX XML Cite \textit{J. Li} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3976--3987 (2008; Zbl 1194.78014) Full Text: DOI OpenURL
Li, Jichun Error analysis of mixed finite element methods for wave propagation in double negative metamaterials. (English) Zbl 1153.65089 J. Comput. Appl. Math. 209, No. 1, 81-96 (2007). Reviewer: Johannes Elschner (Berlin) MSC: 65M15 65M60 35Q60 78A25 78M10 65M20 PDF BibTeX XML Cite \textit{J. Li}, J. Comput. Appl. Math. 209, No. 1, 81--96 (2007; Zbl 1153.65089) Full Text: DOI OpenURL
Li, Jichun; Wood, Aihua Finite element analysis for wave propagation in double negative metamaterials. (English) Zbl 1143.78367 J. Sci. Comput. 32, No. 2, 263-286 (2007). MSC: 78M10 65M60 35Q60 78A40 PDF BibTeX XML Cite \textit{J. Li} and \textit{A. Wood}, J. Sci. Comput. 32, No. 2, 263--286 (2007; Zbl 1143.78367) Full Text: DOI OpenURL
Li, Jichun; Chen, Yitung Analysis of a time-domain finite element method for 3-D Maxwell’s equations in dispersive media. (English) Zbl 1131.78008 Comput. Methods Appl. Mech. Eng. 195, No. 33-36, 4220-4229 (2006). Reviewer: Johannes Elschner (Berlin) MSC: 78M10 65N30 78A48 PDF BibTeX XML Cite \textit{J. Li} and \textit{Y. Chen}, Comput. Methods Appl. Mech. Eng. 195, No. 33--36, 4220--4229 (2006; Zbl 1131.78008) Full Text: DOI OpenURL