Zhang, Yu; Yang, Yidu Guaranteed lower eigenvalue bounds for two spectral problems arising in fluid mechanics. (English) Zbl 1524.65743 Comput. Math. Appl. 90, 66-72 (2021). MSC: 65N25 65N30 35P15 65N15 35J25 49J35 74F10 74H45 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Yang}, Comput. Math. Appl. 90, 66--72 (2021; Zbl 1524.65743) Full Text: DOI
Yang, Yidu; Zhang, Yu; Bi, Hai A type of adaptive \(C^0\) non-conforming finite element method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1441.78026 Comput. Methods Appl. Mech. Eng. 360, Article ID 112697, 20 p. (2020). MSC: 78M10 65M60 78A46 PDFBibTeX XMLCite \textit{Y. Yang} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112697, 20 p. (2020; Zbl 1441.78026) Full Text: DOI
Zhang, Yu; Yang, Yidu A correction method for finding lower bounds of eigenvalues of the second-order elliptic and Stokes operators. (English) Zbl 1431.65210 Numer. Methods Partial Differ. Equations 35, No. 6, 2149-2170 (2019). MSC: 65N25 65N30 76D07 35P20 35J15 65N15 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Yang}, Numer. Methods Partial Differ. Equations 35, No. 6, 2149--2170 (2019; Zbl 1431.65210) 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
Li, Hao; Yang, Yidu An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1402.65147 Sci. China, Math. 61, No. 8, 1519-1542 (2018). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Yang}, Sci. China, Math. 61, No. 8, 1519--1542 (2018; Zbl 1402.65147) Full Text: DOI arXiv
Yang, Yidu; Bi, Hai; Li, Hao; Han, Jiayu A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem. (English) Zbl 1370.65068 J. Comput. Appl. Math. 326, 71-86 (2017). MSC: 65N25 65N15 65N30 35J05 35P15 78A46 78M10 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Comput. Appl. Math. 326, 71--86 (2017; Zbl 1370.65068) Full Text: DOI
Yang, Yidu; Han, Jiayu; Bi, Hai Non-conforming finite element methods for transmission eigenvalue problem. (English) Zbl 1436.74034 Comput. Methods Appl. Mech. Eng. 307, 144-163 (2016). MSC: 74J20 65N25 65N30 PDFBibTeX XMLCite \textit{Y. Yang} et al., Comput. Methods Appl. Mech. Eng. 307, 144--163 (2016; Zbl 1436.74034) Full Text: DOI arXiv
Yang, Yidu; Bi, Hai Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems. (English) Zbl 1306.65274 Sci. China, Math. 57, No. 6, 1319-1329 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N25 65N30 65N15 35P15 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{H. Bi}, Sci. China, Math. 57, No. 6, 1319--1329 (2014; Zbl 1306.65274) Full Text: DOI
Yang, Yidu; Sun, Lingling; Bi, Hai; Li, Hao A note on the residual type a posteriori error estimates for finite element eigenpairs of nonsymmetric elliptic eigenvalue problems. (English) Zbl 1291.65334 Appl. Numer. Math. 82, 51-67 (2014). MSC: 65N25 65N15 65N30 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Numer. Math. 82, 51--67 (2014; Zbl 1291.65334) Full Text: DOI
Yang, YiDu; Jiang, Wei Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem. (English) Zbl 1273.65171 Sci. China, Math. 56, No. 6, 1313-1330 (2013). Reviewer: Costică Moroşanu (Iaşi) MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{W. Jiang}, Sci. China, Math. 56, No. 6, 1313--1330 (2013; Zbl 1273.65171) Full Text: DOI
Fan, Xinyue; Yang, Yidu The finite element interpolated correction method for nonselfadjoint elliptic eigenvalue problems. (Chinese. English summary) Zbl 1240.65323 Math. Numer. Sin. 33, No. 1, 15-24 (2011). MSC: 65N25 65N30 35P15 PDFBibTeX XMLCite \textit{X. Fan} and \textit{Y. Yang}, Math. Numer. Sin. 33, No. 1, 15--24 (2011; Zbl 1240.65323)
Yang, Yidu A posteriori error analysis of conforming/nonconforming finite elements. (Chinese. English summary) Zbl 1488.65598 Sci. Sin., Math. 40, No. 9, 843-862 (2010). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Yang}, Sci. Sin., Math. 40, No. 9, 843--862 (2010; Zbl 1488.65598) Full Text: DOI
Yang, Yidu; Zhang, Zhimin; Lin, Fubiao Eigenvalue approximation from below using non-conforming finite elements. (English) Zbl 1187.65125 Sci. China, Math. 53, No. 1, 137-150 (2010). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N25 65N30 35P15 65N15 PDFBibTeX XMLCite \textit{Y. Yang} et al., Sci. China, Math. 53, No. 1, 137--150 (2010; Zbl 1187.65125) Full Text: DOI
Yang, Yidu Two-grid discretization schemes of the nonconforming FEM for eigenvalue problems. (English) Zbl 1212.65438 J. Comput. Math. 27, No. 6, 748-763 (2009). MSC: 65N25 65N30 65N55 35P15 PDFBibTeX XMLCite \textit{Y. Yang}, J. Comput. Math. 27, No. 6, 748--763 (2009; Zbl 1212.65438)
Li, Qin; Yang, Yidu A note about nonconforming finite element approximations of the Steklov eigenvalue problem. (Chinese. English summary) Zbl 1212.65435 J. Guizhou Norm. Univ., Nat. Sci. 27, No. 3, 61-64 (2009). MSC: 65N25 65N30 35P15 65N15 PDFBibTeX XMLCite \textit{Q. Li} and \textit{Y. Yang}, J. Guizhou Norm. Univ., Nat. Sci. 27, No. 3, 61--64 (2009; Zbl 1212.65435)
Yang, YiDu; Fan, XinYue Generalized Rayleigh quotient and finite element two-grid discretization schemes. (English) Zbl 1188.65151 Sci. China, Ser. A 52, No. 9, 1955-1972 (2009). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N25 65N30 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{X. Fan}, Sci. China, Ser. A 52, No. 9, 1955--1972 (2009; Zbl 1188.65151) Full Text: DOI
Yang, Yidu; Li, Qin; Li, Sirui Nonconforming finite element approximations of the Steklov eigenvalue problem. (English) Zbl 1190.65168 Appl. Numer. Math. 59, No. 10, 2388-2401 (2009). Reviewer: Norikazu Saito (Tokyo) MSC: 65N25 65N30 65N15 35P15 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Numer. Math. 59, No. 10, 2388--2401 (2009; Zbl 1190.65168) Full Text: DOI
Yang, Yidu; Chen, Zhen The order-preserving convergence for spectral approximation of self-adjoint completely continuous operators. (English) Zbl 1153.65055 Sci. China, Ser. A 51, No. 7, 1232-1242 (2008). Reviewer: Jiří Vaníček (Praha) MSC: 65J10 47A10 65N25 65N30 35P15 65N12 47F05 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{Z. Chen}, Sci. China, Ser. A 51, No. 7, 1232--1242 (2008; Zbl 1153.65055) Full Text: DOI
Yang, Yidu A posteriori error estimates in Adini finite element for eigenvalue problems. (English) Zbl 0957.65092 J. Comput. Math. 18, No. 4, 413-418 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N25 65N15 65N30 35P15 PDFBibTeX XMLCite \textit{Y. Yang}, J. Comput. Math. 18, No. 4, 413--418 (2000; Zbl 0957.65092)