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Zhang, Jiansong; Zhu, Jiang; Héctor, Andrés Vargas Poblete; Jiang, Maosheng A hybrid mixed finite element method for convection-diffusion-reaction equation with local exponential fitting technique. (English) Zbl 07705788 Appl. Numer. Math. 189, 23-38 (2023). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Numer. Math. 189, 23--38 (2023; Zbl 07705788) Full Text: DOI
Qiao, Zhonghua; Xu, Zhenli; Yin, Qian; Zhou, Shenggao Structure-preserving numerical method for Maxwell-Ampère Nernst-Planck model. (English) Zbl 07649266 J. Comput. Phys. 475, Article ID 111845, 20 p. (2023). MSC: 65Mxx 35Qxx 35Axx PDFBibTeX XMLCite \textit{Z. Qiao} et al., J. Comput. Phys. 475, Article ID 111845, 20 p. (2023; Zbl 07649266) Full Text: DOI arXiv
Alireza Mirhoseini, Marzieh; Zahr, Matthew J. Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking. (English) Zbl 07625408 J. Comput. Phys. 473, Article ID 111739, 31 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{M. Alireza Mirhoseini} and \textit{M. J. Zahr}, J. Comput. Phys. 473, Article ID 111739, 31 p. (2023; Zbl 07625408) Full Text: DOI arXiv
John, Volker; Moreau, Baptiste; Novo, Julia Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. (English) Zbl 1524.65553 Comput. Math. Appl. 122, 48-60 (2022). MSC: 65M60 76D05 76M10 65N30 65M15 65M99 65M06 PDFBibTeX XMLCite \textit{V. John} et al., Comput. Math. Appl. 122, 48--60 (2022; Zbl 1524.65553) Full Text: DOI
Leng, Yu; Tian, Xiaochuan; Demkowicz, Leszek; Gomez, Hector; Foster, John T. A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. (English) Zbl 07517745 J. Comput. Phys. 452, Article ID 110919, 24 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{Y. Leng} et al., J. Comput. Phys. 452, Article ID 110919, 24 p. (2022; Zbl 07517745) Full Text: DOI arXiv
Kim, Yonchol; Yun, Nam; Chai, Dongho A nearly analytic discrete method for one-dimensional unsteady convection-dominated diffusion equations. (English) Zbl 1449.65290 Commun. Math. Res. 35, No. 3, 193-207 (2019). MSC: 65M99 65M12 65M22 35Q53 PDFBibTeX XMLCite \textit{Y. Kim} et al., Commun. Math. Res. 35, No. 3, 193--207 (2019; Zbl 1449.65290) Full Text: DOI
Matculevich, Svetlana; Wolfmayr, Monika On the a posteriori error analysis for linear Fokker-Planck models in convection-dominated diffusion problems. (English) Zbl 1428.82048 Appl. Math. Comput. 339, 779-804 (2018). MSC: 82C31 82M10 82M99 65N30 65N15 PDFBibTeX XMLCite \textit{S. Matculevich} and \textit{M. Wolfmayr}, Appl. Math. Comput. 339, 779--804 (2018; Zbl 1428.82048) Full Text: DOI arXiv
Shu, Chi-Wang High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments. (English) Zbl 1349.65486 J. Comput. Phys. 316, 598-613 (2016). MSC: 65M60 65M08 65M12 PDFBibTeX XMLCite \textit{C.-W. Shu}, J. Comput. Phys. 316, 598--613 (2016; Zbl 1349.65486) Full Text: DOI
Bartels, Sören Numerical approximation of partial differential equations. (English) Zbl 1353.65089 Texts in Applied Mathematics 64. Cham: Springer (ISBN 978-3-319-32353-4/hbk; 978-3-319-32354-1/ebook). xv, 535 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65M06 65M60 65N06 65N22 65N30 65N50 65N55 65-02 65N08 65M08 35J25 35K05 65F08 74S05 74B05 74K20 78A25 78M10 76D05 76M10 35L05 PDFBibTeX XMLCite \textit{S. Bartels}, Numerical approximation of partial differential equations. Cham: Springer (2016; Zbl 1353.65089) Full Text: DOI
Shu, Chi-Wang Discontinuous Galerkin method for time-dependent convection dominated partial differential equations. (English) Zbl 1388.65107 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-807-0/hbk; 978-89-6105-803-2/set). 767-785 (2014). MSC: 65M60 65M20 65M12 65M15 PDFBibTeX XMLCite \textit{C.-W. Shu}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa. 767--785 (2014; Zbl 1388.65107)
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Mueller, Alan C.; Carey, Graham F. Continuously deforming finite elements. (English) Zbl 0588.76147 Int. J. Numer. Methods Eng. 21, 2099-2126 (1985). Reviewer: P.Narain MSC: 76Rxx 35Q99 PDFBibTeX XMLCite \textit{A. C. Mueller} and \textit{G. F. Carey}, Int. J. Numer. Methods Eng. 21, 2099--2126 (1985; Zbl 0588.76147) Full Text: DOI