Pan, Kejia; Li, Jin; Wu, Xiaoxin; Yuan, Guangwei; Yue, Xiaoqiang A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes. (English) Zbl 1484.65287 Comput. Geosci. 26, No. 2, 279-294 (2022). MSC: 65N08 65N12 PDFBibTeX XMLCite \textit{K. Pan} et al., Comput. Geosci. 26, No. 2, 279--294 (2022; Zbl 1484.65287) Full Text: DOI
Xu, Jinjing; Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei A nonlinear finite volume scheme preserving maximum principle for diffusion equations. (English) Zbl 1473.65265 Commun. Comput. Phys. 29, No. 3, 747-766 (2021). MSC: 65N08 65M22 PDFBibTeX XMLCite \textit{J. Xu} et al., Commun. Comput. Phys. 29, No. 3, 747--766 (2021; Zbl 1473.65265) Full Text: DOI
Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei A conservative gradient discretization method for parabolic equations. (English) Zbl 1488.65362 Adv. Appl. Math. Mech. 13, No. 1, 232-260 (2021). MSC: 65M08 35K10 65M06 65M15 65M12 65N08 PDFBibTeX XMLCite \textit{H. Zhou} et al., Adv. Appl. Math. Mech. 13, No. 1, 232--260 (2021; Zbl 1488.65362) Full Text: DOI
Zhao, Fei; Sheng, Zhiqiang; Yuan, Guangwei A monotone combination scheme of diffusion equations on polygonal meshes. (English) Zbl 07806604 ZAMM, Z. Angew. Math. Mech. 100, No. 5, Article ID e201900320, 25 p. (2020). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{F. Zhao} et al., ZAMM, Z. Angew. Math. Mech. 100, No. 5, Article ID e201900320, 25 p. (2020; Zbl 07806604) Full Text: DOI
Wang, Shuai; Hang, Xudeng; Yuan, Guangwei A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes. (English) Zbl 1380.65336 J. Comput. Phys. 350, 590-606 (2017). MSC: 65N08 65N50 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Comput. Phys. 350, 590--606 (2017; Zbl 1380.65336) Full Text: DOI
Sheng, Zhiqiang; Yuan, Guangwei The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes. (English) Zbl 1218.65120 J. Comput. Phys. 230, No. 7, 2588-2604 (2011). MSC: 65N08 35J25 65N50 PDFBibTeX XMLCite \textit{Z. Sheng} and \textit{G. Yuan}, J. Comput. Phys. 230, No. 7, 2588--2604 (2011; Zbl 1218.65120) Full Text: DOI
Wu, Jiming; Dai, Zihuan; Gao, Zhiming; Yuan, Guangwei Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. (English) Zbl 1187.65119 J. Comput. Phys. 229, No. 9, 3382-3401 (2010). MSC: 65N06 35J25 65N50 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Comput. Phys. 229, No. 9, 3382--3401 (2010; Zbl 1187.65119) Full Text: DOI
Sheng, Zhiqiang; Yuan, Guangwei A finite volume scheme for diffusion equations on distorted quadrilateral meshes. (English) Zbl 1375.82100 Transp. Theory Stat. Phys. 37, No. 2-4, 171-207 (2008). MSC: 82C80 65N06 76M12 PDFBibTeX XMLCite \textit{Z. Sheng} and \textit{G. Yuan}, Transp. Theory Stat. Phys. 37, No. 2--4, 171--207 (2008; Zbl 1375.82100) Full Text: DOI
Yuan, Guangwei; Sheng, Zhiqiang Monotone finite volume schemes for diffusion equations on polygonal meshes. (English) Zbl 1147.65069 J. Comput. Phys. 227, No. 12, 6288-6312 (2008). MSC: 65M06 35K05 65M50 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{G. Yuan} and \textit{Z. Sheng}, J. Comput. Phys. 227, No. 12, 6288--6312 (2008; Zbl 1147.65069) Full Text: DOI