Xie, Jiali; Bi, Hai A multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering. (English) Zbl 1523.65089 Open Math. 21, Article ID 20220607, 18 p. (2023). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{J. Xie} and \textit{H. Bi}, Open Math. 21, Article ID 20220607, 18 p. (2023; Zbl 1523.65089) Full Text: DOI
Zhang, Xuqing; Han, Jiayu Multigrid methods for the modified elastic transmission eigenvalue problem. (English) Zbl 07691984 Comput. Math. Appl. 142, 31-47 (2023). MSC: 65N25 35R30 35P25 65N30 35J25 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{J. Han}, Comput. Math. Appl. 142, 31--47 (2023; Zbl 07691984) Full Text: DOI
Liang, Qigang; Xu, Xuejun A two-level preconditioned Helmholtz subspace iterative method for Maxwell eigenvalue problems. (English) Zbl 07679123 SIAM J. Numer. Anal. 61, No. 2, 642-674 (2023). MSC: 68Q25 68R10 68U05 PDFBibTeX XMLCite \textit{Q. Liang} and \textit{X. Xu}, SIAM J. Numer. Anal. 61, No. 2, 642--674 (2023; Zbl 07679123) Full Text: DOI
Xu, Fei; Huang, Qiumei; Xie, Manting An efficient adaptive multigrid method for the elasticity eigenvalue problem. (English) Zbl 1502.65259 BIT 62, No. 4, 2005-2033 (2022). MSC: 65N55 65N50 65N25 65N30 65N12 65N15 65J15 74B99 74S05 PDFBibTeX XMLCite \textit{F. Xu} et al., BIT 62, No. 4, 2005--2033 (2022; Zbl 1502.65259) Full Text: DOI
Sun, Lingling; Yang, Yidu The a posteriori error estimates and adaptive computation of nonconforming mixed finite elements for the Stokes eigenvalue problem. (English) Zbl 1510.65291 Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022). MSC: 65N25 65N30 65N15 35P30 65N12 PDFBibTeX XMLCite \textit{L. Sun} and \textit{Y. Yang}, Appl. Math. Comput. 421, Article ID 126951, 18 p. (2022; Zbl 1510.65291) Full Text: DOI
Zhang, Yu; Bi, Hai; Yang, Yidu A multigrid correction scheme for a new Steklov eigenvalue problem in inverse scattering. (English) Zbl 1480.65325 Int. J. Comput. Math. 97, No. 7, 1412-1430 (2020). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Comput. Math. 97, No. 7, 1412--1430 (2020; Zbl 1480.65325) Full Text: DOI arXiv
Yang, Yidu; Han, Jiayu; Bi, Hai \(H^2\)-conforming methods and two-grid discretizations for the elastic transmission eigenvalue problem. (English) Zbl 1473.65283 Commun. Comput. Phys. 28, No. 4, 1366-1388 (2020). MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{Y. Yang} et al., Commun. Comput. Phys. 28, No. 4, 1366--1388 (2020; Zbl 1473.65283) Full Text: DOI
Gong, Bo; Han, Jiayu; Sun, Jiguang; Zhang, Zhimin A shifted-inverse adaptive multigrid method for the elastic eigenvalue problem. (English) Zbl 1473.65280 Commun. Comput. Phys. 27, No. 1, 251-273 (2020). MSC: 65N25 65N30 65N55 PDFBibTeX XMLCite \textit{B. Gong} et al., Commun. Comput. Phys. 27, No. 1, 251--273 (2020; Zbl 1473.65280) Full Text: DOI
Han, Jiayu Shifted inverse iteration based multigrid methods for the quad-curl eigenvalue problem. (English) Zbl 1433.65332 Appl. Math. Comput. 367, Article ID 124770, 13 p. (2020). MSC: 65N55 65N25 65N30 65N15 35Q60 PDFBibTeX XMLCite \textit{J. Han}, Appl. Math. Comput. 367, Article ID 124770, 13 p. (2020; Zbl 1433.65332) Full Text: DOI
Zhang, Yu; Bi, Hai; Yang, Yidu The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems. (English) Zbl 1456.65178 Appl. Numer. Math. 138, 94-113 (2019). MSC: 65N55 65N25 65N30 35P99 74K20 74H45 35Q74 31A30 65F10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Numer. Math. 138, 94--113 (2019; Zbl 1456.65178) Full Text: DOI
Li, Hao; Yang, Yidu Adaptive Morley element algorithms for the biharmonic eigenvalue problem. (English) Zbl 1497.65089 J. Inequal. Appl. 2018, Paper No. 55, 21 p. (2018). MSC: 65H17 65N25 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Yang}, J. Inequal. Appl. 2018, Paper No. 55, 21 p. (2018; Zbl 1497.65089) Full Text: DOI
Wang, Shixi; Bi, Hai; Zhang, Yu; Yang, Yidu A two-grid discretization scheme of non-conforming finite elements for transmission eigenvalues. (English) Zbl 1409.65099 Comput. Math. Appl. 75, No. 2, 520-533 (2018). MSC: 65N30 65N25 35J05 PDFBibTeX XMLCite \textit{S. Wang} et al., Comput. Math. Appl. 75, No. 2, 520--533 (2018; Zbl 1409.65099) Full Text: DOI
Liu, Huipo; Wang, Shuanghu; Shen, Huayun Superconvergence two-grid scheme based on shifted-inverse power method for eigenvalue problems by function value recovery. (English) Zbl 1439.65184 Comput. Methods Appl. Mech. Eng. 320, 218-236 (2017). MSC: 65N30 65N15 65N25 35P15 PDFBibTeX XMLCite \textit{H. Liu} et al., Comput. Methods Appl. Mech. Eng. 320, 218--236 (2017; Zbl 1439.65184) Full Text: DOI
Han, Jiayu; Yang, Yidu; Bi, Hai A new multigrid finite element method for the transmission eigenvalue problems. (English) Zbl 1410.65448 Appl. Math. Comput. 292, 96-106 (2017). MSC: 65N30 65N25 65N55 PDFBibTeX XMLCite \textit{J. Han} et al., Appl. Math. Comput. 292, 96--106 (2017; Zbl 1410.65448) Full Text: DOI arXiv
Li, Feiyan; Bi, Hai A type of multigrid method based on the fixed-shift inverse iteration for the Steklov eigenvalue problem. (English) Zbl 1416.65425 Adv. Math. Phys. 2016, Article ID 4691759, 13 p. (2016). MSC: 65N25 65N30 65N55 35J25 PDFBibTeX XMLCite \textit{F. Li} and \textit{H. Bi}, Adv. Math. Phys. 2016, Article ID 4691759, 13 p. (2016; Zbl 1416.65425) Full Text: DOI
Bi, Hai; Li, Hao; Yang, Yidu An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem. (English) Zbl 1382.65372 Appl. Numer. Math. 105, 64-81 (2016). MSC: 65N25 65N15 65N30 PDFBibTeX XMLCite \textit{H. Bi} et al., Appl. Numer. Math. 105, 64--81 (2016; Zbl 1382.65372) Full Text: DOI arXiv