Si, Zhiyong; Guo, Xiaonan; Wang, Yunxia A modified characteristics projection finite element method for the non-stationary incompressible thermally coupled MHD equations. (English) Zbl 07789838 Math. Methods Appl. Sci. 46, No. 16, 17422-17460 (2023). MSC: 76D05 35Q30 65M60 65N30 PDFBibTeX XMLCite \textit{Z. Si} et al., Math. Methods Appl. Sci. 46, No. 16, 17422--17460 (2023; Zbl 07789838) Full Text: DOI
Si, Zhiyong; Hou, Akang; Wang, Yunxia A consistent projection finite element method for the non-stationary incompressible thermally coupled MHD equations. (English) Zbl 1527.76035 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107496, 30 p. (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 76M10 76W05 65M15 80A19 PDFBibTeX XMLCite \textit{Z. Si} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107496, 30 p. (2023; Zbl 1527.76035) Full Text: DOI
Si, Zhiyong; Lu, Jingyun; Wang, Yunxia Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations. (English) Zbl 1521.76367 Comput. Fluids 240, Article ID 105427, 17 p. (2022). MSC: 76M10 65M60 65M12 65M15 65M25 76W05 PDFBibTeX XMLCite \textit{Z. Si} et al., Comput. Fluids 240, Article ID 105427, 17 p. (2022; Zbl 1521.76367) Full Text: DOI
Si, Zhiyong; Wang, Mingyi; Wang, Yunxia A projection method for the non-stationary incompressible MHD coupled with the heat equations. (English) Zbl 1510.76092 Appl. Math. Comput. 428, Article ID 127217, 23 p. (2022). MSC: 76M10 76W05 35Q30 65M60 PDFBibTeX XMLCite \textit{Z. Si} et al., Appl. Math. Comput. 428, Article ID 127217, 23 p. (2022; Zbl 1510.76092) Full Text: DOI
Si, Zhiyong; Wang, Qing; Wang, Yunxia A modified characteristic projection finite element method for the Kelvin-Voigt viscoelastic fluid equations. (English) Zbl 1524.76227 Comput. Math. Appl. 109, 44-57 (2022). MSC: 76M10 65M15 65M12 65M60 76D05 76A10 PDFBibTeX XMLCite \textit{Z. Si} et al., Comput. Math. Appl. 109, 44--57 (2022; Zbl 1524.76227) Full Text: DOI
Si, Zhiyong; Dong, Piaopiao; Wang, Yunxia A modified characteristics finite element method for the electroneutral micro-fluids. (English) Zbl 1499.76073 Adv. Appl. Math. Mech. 14, No. 2, 386-414 (2022). MSC: 76M10 65N12 65N30 35K61 PDFBibTeX XMLCite \textit{Z. Si} et al., Adv. Appl. Math. Mech. 14, No. 2, 386--414 (2022; Zbl 1499.76073) Full Text: DOI
Si, Zhiyong; Wang, Mingyi; Wang, Yunxia A Crank-Nicolson leap-frog scheme for the unsteady incompressible magnetohydrodynamics equations. arXiv:2210.14401 Preprint, arXiv:2210.14401 [math.NA] (2022). BibTeX Cite \textit{Z. Si} et al., ``A Crank-Nicolson leap-frog scheme for the unsteady incompressible magnetohydrodynamics equations'', Preprint, arXiv:2210.14401 [math.NA] (2022) Full Text: arXiv OA License
Wang, Yunxia; Han, Xuefeng; Si, Zhiyong A viscosity-splitting method for the Navier-Stokes/ Darcy problem. (English) Zbl 1488.76028 Adv. Appl. Math. Mech. 12, No. 1, 251-277 (2020). MSC: 76D05 35Q30 65M60 65N30 PDFBibTeX XMLCite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 12, No. 1, 251--277 (2020; Zbl 1488.76028) Full Text: DOI
Shen, Xiaojuan; Wang, Yunxia; Si, Zhiyong A rotational pressure-correction projection methods for unsteady incompressible magnetohydrodynamics equations. (English) Zbl 1465.76057 Appl. Math. Comput. 387, Article ID 124488, 21 p. (2020). MSC: 76M10 76W05 65M12 65M15 PDFBibTeX XMLCite \textit{X. Shen} et al., Appl. Math. Comput. 387, Article ID 124488, 21 p. (2020; Zbl 1465.76057) Full Text: DOI
Wang, Yunxia; Li, Shishun; Si, Zhiyong A second order in time incremental pressure correction finite element method for the Navier-Stokes/Darcy problem. (English) Zbl 1405.76011 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1477-1500 (2018). MSC: 76D05 35Q30 65M60 65N30 PDFBibTeX XMLCite \textit{Y. Wang} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1477--1500 (2018; Zbl 1405.76011) Full Text: DOI
Si, Zhiyong; Liu, Cui; Wang, Yunxia A semi-discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations. (English) Zbl 1368.76016 Math. Methods Appl. Sci. 40, No. 11, 4179-4196 (2017). MSC: 76D05 76M10 76W05 35Q30 65M60 65N30 PDFBibTeX XMLCite \textit{Z. Si} et al., Math. Methods Appl. Sci. 40, No. 11, 4179--4196 (2017; Zbl 1368.76016) Full Text: DOI
Si, Zhiyong; Jing, Shujie; Wang, Yunxia Defect correction finite element method for the stationary incompressible magnetohydrodynamics equation. (English) Zbl 1410.76198 Appl. Math. Comput. 285, 184-194 (2016). MSC: 76M10 65N30 35Q35 65N12 76W05 PDFBibTeX XMLCite \textit{Z. Si} et al., Appl. Math. Comput. 285, 184--194 (2016; Zbl 1410.76198) Full Text: DOI
Si, Zhiyong; Wang, Yunxia; Feng, Xinlong Modified method of characteristics variational multiscale finite element method for time dependent Navier-Stokes problems. (English) Zbl 1488.76026 Math. Model. Anal. 20, No. 5, 658-680 (2015). MSC: 76D05 76M10 65M60 65M12 PDFBibTeX XMLCite \textit{Z. Si} et al., Math. Model. Anal. 20, No. 5, 658--680 (2015; Zbl 1488.76026) Full Text: DOI
Si, Zhiyong; Wang, Yunxia Modified characteristics projection finite element method for time-dependent conduction-convection problems. (English) Zbl 1338.76067 Bound. Value Probl. 2015, Paper No. 151, 23 p. (2015). MSC: 76M10 65N12 65N30 35K61 PDFBibTeX XMLCite \textit{Z. Si} and \textit{Y. Wang}, Bound. Value Probl. 2015, Paper No. 151, 23 p. (2015; Zbl 1338.76067) Full Text: DOI
Si, Zhiyong; He, Yinnian; Wang, Yunxia Modified characteristics mixed defect-correction finite element method for the time-dependent Navier-Stokes problems. (English) Zbl 1446.76096 Appl. Anal. 94, No. 4, 701-724 (2015). MSC: 76D05 76M10 PDFBibTeX XMLCite \textit{Z. Si} et al., Appl. Anal. 94, No. 4, 701--724 (2015; Zbl 1446.76096) Full Text: DOI
Si, Zhiyong; Li, Wenqiang; Wang, Yunxia A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows. (English) Zbl 1311.76072 J. Math. Anal. Appl. 425, No. 1, 96-110 (2015). MSC: 76M10 65M60 65M12 65M15 76A10 PDFBibTeX XMLCite \textit{Z. Si} et al., J. Math. Anal. Appl. 425, No. 1, 96--110 (2015; Zbl 1311.76072) Full Text: DOI
Si, Zhiyong; Wang, Yunxia; Li, Shishun Decoupled modified characteristics finite element method for the time-dependent Navier-Stokes/Darcy problem. (English) Zbl 1426.76309 Math. Methods Appl. Sci. 37, No. 9, 1392-1404 (2014). MSC: 76M10 76D05 76S05 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Si} et al., Math. Methods Appl. Sci. 37, No. 9, 1392--1404 (2014; Zbl 1426.76309) Full Text: DOI