Yuan, Si; Yuan, Quan Condensed Galerkin element of degree \(m\) for first-order initial-value problem with \(O(h^{2m+2})\) super-convergent nodal solutions. (English) Zbl 1492.65222 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 4, 603-614 (2022). MSC: 65L60 65L05 65L20 PDFBibTeX XMLCite \textit{S. Yuan} and \textit{Q. Yuan}, AMM, Appl. Math. Mech., Engl. Ed. 43, No. 4, 603--614 (2022; Zbl 1492.65222) Full Text: DOI
Yuan, Si; Wu, Yue; Xing, Qinyan Recursive super-convergence computation for multi-dimensional problems via one-dimensional element energy projection technique. (English) Zbl 1397.65122 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 7, 1031-1044 (2018). MSC: 65L60 65L50 65L10 74S05 PDFBibTeX XMLCite \textit{S. Yuan} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 7, 1031--1044 (2018; Zbl 1397.65122) Full Text: DOI
Yuan, Si; Du, Yan; Xing, Qin-yan; Ye, Kang-sheng Self-adaptive one-dimensional nonlinear finite element method based on element energy projection method. (English) Zbl 1298.65116 Appl. Math. Mech., Engl. Ed. 35, No. 10, 1223-1232 (2014). MSC: 65L60 65L10 65L50 34A34 PDFBibTeX XMLCite \textit{S. Yuan} et al., Appl. Math. Mech., Engl. Ed. 35, No. 10, 1223--1232 (2014; Zbl 1298.65116) Full Text: DOI
Yuan, Si; Xing, Qin-Yan; Wang, Xu; Ye, Kang-Sheng Self-adaptive strategy for one-dimensional finite element method based on EEP method with optimal super-convergence order. (English) Zbl 1231.65122 Appl. Math. Mech., Engl. Ed. 29, No. 5, 591-602 (2008). MSC: 65L10 65L50 65L60 PDFBibTeX XMLCite \textit{S. Yuan} et al., Appl. Math. Mech., Engl. Ed. 29, No. 5, 591--602 (2008; Zbl 1231.65122) Full Text: DOI
Yuan, Si; He, Xue-Feng Self-adaptive strategy for one-dimensional finite element method based on element energy projection method. (English) Zbl 1231.65121 Appl. Math. Mech., Engl. Ed. 27, No. 11, 1461-1474 (2006). MSC: 65L10 65L50 65L60 PDFBibTeX XMLCite \textit{S. Yuan} and \textit{X.-F. He}, Appl. Math. Mech., Engl. Ed. 27, No. 11, 1461--1474 (2006; Zbl 1231.65121) Full Text: DOI