Li, Lingxiao; Lyu, Maohui; Zheng, Weiying An energy-stable finite element method for nonlinear Maxwell’s equations. (English) Zbl 07788139 J. Comput. Phys. 486, Article ID 112135, 17 p. (2023). MSC: 65Nxx 78Mxx 78Axx PDFBibTeX XMLCite \textit{L. Li} et al., J. Comput. Phys. 486, Article ID 112135, 17 p. (2023; Zbl 07788139) Full Text: DOI
Jiang, Xue; Lyu, Maohui; Yin, Tao; Zheng, Weiying A PML method for signal-propagation problems in axon. (English) Zbl 1527.35403 SIAM J. Appl. Math. 83, No. 5, 1785-1805 (2023). MSC: 35Q61 35A15 65N12 92B05 92B20 92C20 35A01 35A02 65N30 92-08 PDFBibTeX XMLCite \textit{X. Jiang} et al., SIAM J. Appl. Math. 83, No. 5, 1785--1805 (2023; Zbl 1527.35403) Full Text: DOI arXiv
Jiang, Xue; Li, Peijun; Lv, Junliang; Wang, Zhoufeng; Wu, Haijun; Zheng, Weiying An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures. (English) Zbl 1517.65113 IMA J. Numer. Anal. 42, No. 3, 2794-2828 (2022). MSC: 65N30 65N50 65N15 78A45 78A25 78M10 35Q61 PDFBibTeX XMLCite \textit{X. Jiang} et al., IMA J. Numer. Anal. 42, No. 3, 2794--2828 (2022; Zbl 1517.65113) Full Text: DOI arXiv
Liu, Huaqing; Zhang, Linbo; Zhang, Xiaodi; Zheng, Weiying Interface-penalty finite element methods for interface problems in \(H^1\), \(\boldsymbol{H} (\mathbf{curl})\), and \(\boldsymbol{H} (\operatorname{div})\). (English) Zbl 1442.65382 Comput. Methods Appl. Mech. Eng. 367, Article ID 113137, 15 p. (2020). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{H. Liu} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113137, 15 p. (2020; Zbl 1442.65382) Full Text: DOI
Jiang, Xue; Zhang, Donghang; Zhang, Linbo; Zheng, Weiying Finite element analysis for nonstationary magneto-heat coupling problem. (English) Zbl 1473.65306 Commun. Comput. Phys. 26, No. 5, 1471-1489 (2019). MSC: 65N30 65N15 78A25 PDFBibTeX XMLCite \textit{X. Jiang} et al., Commun. Comput. Phys. 26, No. 5, 1471--1489 (2019; Zbl 1473.65306) Full Text: DOI
Li, Xujing; Mao, Shipeng; Yang, Kangkang; Zheng, Weiying On the magneto-heat coupling model for large power transformers. (English) Zbl 1488.35299 Commun. Comput. Phys. 22, No. 3, 683-711 (2017). MSC: 35K55 35Q60 78A25 PDFBibTeX XMLCite \textit{X. Li} et al., Commun. Comput. Phys. 22, No. 3, 683--711 (2017; Zbl 1488.35299) Full Text: DOI
Li, Peijun; Zheng, Gaofeng; Zheng, Weiying Maxwell’s equations in an unbounded structure. (English) Zbl 1358.35180 Math. Methods Appl. Sci. 40, No. 3, 573-588 (2017). MSC: 35Q60 35Q61 35J20 78A45 PDFBibTeX XMLCite \textit{P. Li} et al., Math. Methods Appl. Sci. 40, No. 3, 573--588 (2017; Zbl 1358.35180) Full Text: DOI
Duan, Huoyuan; Qiu, Fengjuan; Tan, Roger C. E.; Zheng, Weiying An adaptive FEM for a Maxwell interface problem. (English) Zbl 1343.78019 J. Sci. Comput. 67, No. 2, 669-704 (2016). MSC: 78M10 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{H. Duan} et al., J. Sci. Comput. 67, No. 2, 669--704 (2016; Zbl 1343.78019) Full Text: DOI
Jiang, Xue; Li, Peijun; Zheng, Weiying Eddy current model for nondestructive evaluation with thin cracks. (English) Zbl 1372.35293 SIAM J. Sci. Comput. 38, No. 2, A973-A996 (2016). Reviewer: Artyom Andronov (Saransk) MSC: 35Q60 65N30 78A25 78M10 PDFBibTeX XMLCite \textit{X. Jiang} et al., SIAM J. Sci. Comput. 38, No. 2, A973--A996 (2016; Zbl 1372.35293) Full Text: DOI
Jiang, Xue; Zheng, Weiying Homogenization of quasi-static Maxwell’s equations. (English) Zbl 1314.35009 Multiscale Model. Simul. 12, No. 1, 152-180 (2014). MSC: 35B27 35Q61 65N30 78A25 PDFBibTeX XMLCite \textit{X. Jiang} and \textit{W. Zheng}, Multiscale Model. Simul. 12, No. 1, 152--180 (2014; Zbl 1314.35009) Full Text: DOI Link
Li, Peijun; Zheng, Weiying An \(\mathbf H\)-\(\psi \) formulation for the three-dimensional eddy current problem in laminated structures. (English) Zbl 1270.35258 J. Differ. Equations 254, No. 8, 3476-3500 (2013). Reviewer: Rainer Picard (Dresden) MSC: 35K55 35Q60 35Q61 35K45 78A55 78A25 PDFBibTeX XMLCite \textit{P. Li} and \textit{W. Zheng}, J. Differ. Equations 254, No. 8, 3476--3500 (2013; Zbl 1270.35258) Full Text: DOI
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. (English) Zbl 1274.65287 Numer. Math., Theory Methods Appl. 5, No. 3, 297-332 (2012). MSC: 65N12 65N55 65N30 35Q61 35J25 65N50 PDFBibTeX XMLCite \textit{R. Hiptmair} et al., Numer. Math., Theory Methods Appl. 5, No. 3, 297--332 (2012; Zbl 1274.65287) Full Text: DOI Link
Duan, Huoyuan; Li, Sha; Tan, Roger C. E.; Zheng, Weiying A delta-regularization finite element method for a double curl problem with divergence-free constraint. (English) Zbl 1261.65116 SIAM J. Numer. Anal. 50, No. 6, 3208-3230 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35Q60 35Q61 46E35 PDFBibTeX XMLCite \textit{H. Duan} et al., SIAM J. Numer. Anal. 50, No. 6, 3208--3230 (2012; Zbl 1261.65116) Full Text: DOI Link
Jiang, Xue; Zheng, Weiying An efficient eddy current model for nonlinear Maxwell equations with laminated conductors. (English) Zbl 1252.35255 SIAM J. Appl. Math. 72, No. 4, 1021-1040 (2012). MSC: 35Q60 65N30 78A25 PDFBibTeX XMLCite \textit{X. Jiang} and \textit{W. Zheng}, SIAM J. Appl. Math. 72, No. 4, 1021--1040 (2012; Zbl 1252.35255) Full Text: DOI Link
Li, Peijun; Wu, Haijun; Zheng, Weiying An overfilled cavity problem for Maxwell’s equations. (English) Zbl 1251.78009 Math. Methods Appl. Sci. 35, No. 16, 1951-1979 (2012). MSC: 78A46 78M30 35R30 PDFBibTeX XMLCite \textit{P. Li} et al., Math. Methods Appl. Sci. 35, No. 16, 1951--1979 (2012; Zbl 1251.78009) Full Text: DOI
Li, Peijun; Wu, Haijun; Zheng, Weiying Electromagnetic scattering by unbounded rough surfaces. (English) Zbl 1229.35287 SIAM J. Math. Anal. 43, No. 3, 1205-1231 (2011). MSC: 35Q60 78A45 78M30 PDFBibTeX XMLCite \textit{P. Li} et al., SIAM J. Math. Anal. 43, No. 3, 1205--1231 (2011; Zbl 1229.35287) Full Text: DOI
Zheng, Weiying; Zhang, Feiran Adaptive finite element frequency domain method for eddy current problems. (English) Zbl 1159.78348 Comput. Methods Appl. Mech. Eng. 197, No. 13-16, 1233-1241 (2008). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65M60 65M50 78A25 PDFBibTeX XMLCite \textit{W. Zheng} and \textit{F. Zhang}, Comput. Methods Appl. Mech. Eng. 197, No. 13--16, 1233--1241 (2008; Zbl 1159.78348) Full Text: DOI
Chen, Zhiming; Wang, Long; Zheng, Weiying An adaptive multilevel method for time-harmonic Maxwell equations with singularities. (English) Zbl 1136.78013 SIAM J. Sci. Comput. 29, No. 1, 118-138 (2007). MSC: 78M10 65N30 65N55 65F10 PDFBibTeX XMLCite \textit{Z. Chen} et al., SIAM J. Sci. Comput. 29, No. 1, 118--138 (2007; Zbl 1136.78013) Full Text: DOI