Kees, Christopher E.; Collins, J. Haydel; Zhang, Alvin Simple, accurate, and efficient embedded finite element methods for fluid-solid interaction. (English) Zbl 1507.74484 Comput. Methods Appl. Mech. Eng. 389, Article ID 114404, 27 p. (2022). MSC: 74S05 65N30 74F10 PDFBibTeX XMLCite \textit{C. E. Kees} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114404, 27 p. (2022; Zbl 1507.74484) Full Text: DOI
Ji, Haifeng; Weng, Zhifeng; Zhang, Qian An augmented immersed finite element method for variable coefficient elliptic interface problems in two and three dimensions. (English) Zbl 07506182 J. Comput. Phys. 418, Article ID 109631, 18 p. (2020). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{H. Ji} et al., J. Comput. Phys. 418, Article ID 109631, 18 p. (2020; Zbl 07506182) Full Text: DOI
Wang, Yang; Chen, Yanping; Huang, Yunqing; Liu, Ying Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods. (English) Zbl 1431.65220 AMM, Appl. Math. Mech., Engl. Ed. 40, No. 11, 1657-1676 (2019). MSC: 65N30 35J61 65N15 PDFBibTeX XMLCite \textit{Y. Wang} et al., AMM, Appl. Math. Mech., Engl. Ed. 40, No. 11, 1657--1676 (2019; Zbl 1431.65220) Full Text: DOI
Ji, Haifeng; Zhang, Qian; Zhang, Bin A Cartesian grid method for modeling charge distribution on interfaces via augmented technique. (English) Zbl 1427.78010 Math. Probl. Eng. 2018, Article ID 7521273, 7 p. (2018). MSC: 78A48 78M10 65N30 35J25 PDFBibTeX XMLCite \textit{H. Ji} et al., Math. Probl. Eng. 2018, Article ID 7521273, 7 p. (2018; Zbl 1427.78010) Full Text: DOI
Zhang, Qian; Weng, Zhifeng; Ji, Haifeng; Zhang, Bin Error estimates for an augmented method for one-dimensional elliptic interface problems. (English) Zbl 1448.65203 Adv. Difference Equ. 2018, Paper No. 307, 16 p. (2018). MSC: 65N15 65N30 35J60 82B24 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 307, 16 p. (2018; Zbl 1448.65203) Full Text: DOI
Ji, Haifeng; Chen, Jinru; Li, Zhilin A high-order source removal finite element method for a class of elliptic interface problems. (English) Zbl 1397.65270 Appl. Numer. Math. 130, 112-130 (2018). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{H. Ji} et al., Appl. Numer. Math. 130, 112--130 (2018; Zbl 1397.65270) Full Text: DOI
Qin, Fangfang; Wang, Zhaohui; Ma, Zhijie; Li, Zhilin Accurate gradient computations at interfaces using finite element methods. (English) Zbl 1422.65409 Int. J. Appl. Math. Comput. Sci. 27, No. 3, 527-537 (2017). MSC: 65N30 35J15 PDFBibTeX XMLCite \textit{F. Qin} et al., Int. J. Appl. Math. Comput. Sci. 27, No. 3, 527--537 (2017; Zbl 1422.65409) Full Text: DOI arXiv
An, Na; Yu, Xijun; Chen, Huanzhen; Huang, Chaobao; Liu, Zhongyan A partially penalty immersed Crouzeix-Raviart finite element method for interface problems. (English) Zbl 1372.65302 J. Inequal. Appl. 2017, Paper No. 186, 29 p. (2017). MSC: 65N30 35J25 35R05 65N15 PDFBibTeX XMLCite \textit{N. An} et al., J. Inequal. Appl. 2017, Paper No. 186, 29 p. (2017; Zbl 1372.65302) Full Text: DOI
Qin, Fangfang; Chen, Jinru; Li, Zhilin; Cai, Mingchao A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. (English) Zbl 1368.74065 Comput. Math. Appl. 73, No. 3, 404-418 (2017). MSC: 74S05 65N30 35Q74 74A50 PDFBibTeX XMLCite \textit{F. Qin} et al., Comput. Math. Appl. 73, No. 3, 404--418 (2017; Zbl 1368.74065) Full Text: DOI
Ji, Haifeng; Wang, Feng; Chen, Jinru Unfitted finite element methods for the heat conduction in composite media with contact resistance. (English) Zbl 1365.65223 Numer. Methods Partial Differ. Equations 33, No. 1, 354-380 (2017). Reviewer: I. N. Katz (St. Louis) MSC: 65M60 35K05 65M50 PDFBibTeX XMLCite \textit{H. Ji} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 354--380 (2017; Zbl 1365.65223) Full Text: DOI