Zhang, Huili; Feng, Xinlong; Wang, Kun Anisotropic immersed finite element methods for 1D elliptic interface systems. (English) Zbl 07779720 Numer. Methods Partial Differ. Equations 39, No. 1, 523-543 (2023). MSC: 65N30 65N15 65D05 35J15 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 523--543 (2023; Zbl 07779720) Full Text: DOI
Cao, Shuhao; Chen, Long; Guo, Ruchi Immersed virtual element methods for electromagnetic interface problems in three dimensions. (English) Zbl 1514.65164 Math. Models Methods Appl. Sci. 33, No. 3, 455-503 (2023). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. Cao} et al., Math. Models Methods Appl. Sci. 33, No. 3, 455--503 (2023; Zbl 1514.65164) Full Text: DOI arXiv
Adjerid, Slimane; Babuška, Ivo; Guo, Ruchi; Lin, Tao An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. (English) Zbl 07644843 Comput. Methods Appl. Mech. Eng. 404, Article ID 115770, 37 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{S. Adjerid} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115770, 37 p. (2023; Zbl 07644843) Full Text: DOI arXiv
Wang, Chunmei; Zhang, Shangyou A weak Galerkin method for elasticity interface problems. (English) Zbl 1496.65226 J. Comput. Appl. Math. 419, Article ID 114726, 14 p. (2023). MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{C. Wang} and \textit{S. Zhang}, J. Comput. Appl. Math. 419, Article ID 114726, 14 p. (2023; Zbl 1496.65226) Full Text: DOI arXiv
Kaudur, Srivatsa Bhat; Patil, Mayuresh J. Shape optimization with immersed interface finite element method. (English) Zbl 07769247 Int. J. Numer. Methods Eng. 123, No. 23, 5907-5936 (2022). MSC: 65N30 49Q10 49Q12 74E30 74S05 PDFBibTeX XMLCite \textit{S. B. Kaudur} and \textit{M. J. Patil}, Int. J. Numer. Methods Eng. 123, No. 23, 5907--5936 (2022; Zbl 07769247) Full Text: DOI
Cao, Fujun; Yuan, Dongfang; Sheng, Zhiqiang; Yuan, Guangwei; He, Limin A finite difference method for elliptic problems with implicit jump condition. (English) Zbl 1513.65276 Int. J. Numer. Anal. Model. 19, No. 4, 439-457 (2022). MSC: 65N06 35R35 35J65 PDFBibTeX XMLCite \textit{F. Cao} et al., Int. J. Numer. Anal. Model. 19, No. 4, 439--457 (2022; Zbl 1513.65276) Full Text: Link
Wang, Yue; Gao, Fuzheng; Cui, Jintao A conforming discontinuous Galerkin finite element method for linear elasticity interface problems. (English) Zbl 1490.65290 J. Sci. Comput. 92, No. 1, Paper No. 9, 20 p. (2022). MSC: 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 92, No. 1, Paper No. 9, 20 p. (2022; Zbl 1490.65290) Full Text: DOI
Laymuns, Genaro; Sánchez, Manuel A. Corrected finite element methods on unfitted meshes for Stokes moving interface problem. (English) Zbl 1524.65832 Comput. Math. Appl. 108, 159-174 (2022). MSC: 65N30 35J25 65N15 74F10 65N50 76D07 65M60 65M06 92C35 35Q92 74B10 76M10 74S05 35Q35 35Q74 PDFBibTeX XMLCite \textit{G. Laymuns} and \textit{M. A. Sánchez}, Comput. Math. Appl. 108, 159--174 (2022; Zbl 1524.65832) Full Text: DOI
Wang, Saihua; Wang, Feng; Xu, Xuejun A robust multigrid method for one dimensional immersed finite element method. (English) Zbl 07776069 Numer. Methods Partial Differ. Equations 37, No. 3, 2244-2260 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Wang} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2244--2260 (2021; Zbl 07776069) Full Text: DOI
Xing, Yanan; Song, Lina; Fan, Chia-Ming A generalized finite difference method for solving elasticity interface problems. (English) Zbl 1521.74392 Eng. Anal. Bound. Elem. 128, 105-117 (2021). MSC: 74S20 65N06 65N12 74A50 PDFBibTeX XMLCite \textit{Y. Xing} et al., Eng. Anal. Bound. Elem. 128, 105--117 (2021; Zbl 1521.74392) Full Text: DOI
Dunn, Kyle; Lui, Roger; Sarkis, Marcus An unconditionally stable semi-implicit CutFEM for an interaction problem between an elastic membrane and an incompressible fluid. (English) Zbl 1473.65298 ETNA, Electron. Trans. Numer. Anal. 54, 296-322 (2021). MSC: 65N30 65N12 74F10 PDFBibTeX XMLCite \textit{K. Dunn} et al., ETNA, Electron. Trans. Numer. Anal. 54, 296--322 (2021; Zbl 1473.65298) Full Text: DOI arXiv Link
Taleei, Ameneh A moving kriging interpolation-based meshfree method for solving two-phase elasticity system. (English) Zbl 1474.74014 J. Math. Model. 9, No. 1, 1-12 (2021). MSC: 74A50 74B05 65N35 82B24 74N20 PDFBibTeX XMLCite \textit{A. Taleei}, J. Math. Model. 9, No. 1, 1--12 (2021; Zbl 1474.74014) Full Text: DOI
Huang, Peiqi; Li, Zhilin Partially penalized IFE methods and convergence analysis for elasticity interface problems. (English) Zbl 1446.65170 J. Comput. Appl. Math. 382, Article ID 113059, 23 p. (2021). MSC: 65N30 65N15 65N12 74B10 74A50 74S05 PDFBibTeX XMLCite \textit{P. Huang} and \textit{Z. Li}, J. Comput. Appl. Math. 382, Article ID 113059, 23 p. (2021; Zbl 1446.65170) Full Text: DOI
Abdullah Al Mahbub, Md.; He, Xiaoming; Nasu, Nasrin Jahan; Qiu, Changxin; Wang, Yifan; Zheng, Haibiao A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system. (English) Zbl 1459.76076 SIAM J. Sci. Comput. 42, No. 4, B951-B982 (2020). MSC: 76M10 76S05 80A19 86A05 PDFBibTeX XMLCite \textit{Md. Abdullah Al Mahbub} et al., SIAM J. Sci. Comput. 42, No. 4, B951--B982 (2020; Zbl 1459.76076) Full Text: DOI
Zhang, Huili; Feng, Xinlong; Wang, Kun Long time error estimates of IFE methods for the unsteady multi-layer porous wall model. (English) Zbl 1442.65400 Appl. Numer. Math. 156, 303-321 (2020). MSC: 65N30 65M22 65M12 65M15 35K20 35Q31 76Z05 92C35 76M10 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Numer. Math. 156, 303--321 (2020; Zbl 1442.65400) Full Text: DOI
Wang, Tao; Yang, Chaochao; Xie, Xiaoping A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. (English) Zbl 1436.49006 Comput. Methods Appl. Math. 20, No. 2, 379-393 (2020). MSC: 49J20 65M60 PDFBibTeX XMLCite \textit{T. Wang} et al., Comput. Methods Appl. Math. 20, No. 2, 379--393 (2020; Zbl 1436.49006) Full Text: DOI arXiv
He, Xiaoxiao; Deng, Weibing; Wu, Haijun An interface penalty finite element method for elliptic interface problems on piecewise meshes. (English) Zbl 1428.65086 J. Comput. Appl. Math. 367, Article ID 112473, 20 p. (2020). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{X. He} et al., J. Comput. Appl. Math. 367, Article ID 112473, 20 p. (2020; Zbl 1428.65086) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei; Zhang, Ping A bilinear Petrov-Galerkin finite element method for solving elliptic equation with discontinuous coefficients. (English) Zbl 1488.65659 Adv. Appl. Math. Mech. 11, No. 1, 216-240 (2019). MSC: 65N30 65F50 65F35 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Appl. Math. Mech. 11, No. 1, 216--240 (2019; Zbl 1488.65659) Full Text: DOI
Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. (English) Zbl 1524.35666 Commun. Nonlinear Sci. Numer. Simul. 59, 132-148 (2018). MSC: 35R05 35R37 65M60 65T60 PDFBibTeX XMLCite \textit{H. Cao} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 132--148 (2018; Zbl 1524.35666) Full Text: DOI
Bai, Jinwei; Cao, Yong; Chu, Yuchuan; Zhang, Xu An improved immersed finite element particle-in-cell method for plasma simulation. (English) Zbl 1409.82018 Comput. Math. Appl. 75, No. 6, 1887-1899 (2018). MSC: 82D10 65M75 82C80 PDFBibTeX XMLCite \textit{J. Bai} et al., Comput. Math. Appl. 75, No. 6, 1887--1899 (2018; Zbl 1409.82018) Full Text: DOI arXiv
Cao, Fujun; Sheng, Zhiqiang; Yuan, Guangwei Monotone finite volume schemes for diffusion equation with imperfect interface on distorted meshes. (English) Zbl 1397.65229 J. Sci. Comput. 76, No. 2, 1055-1077 (2018). MSC: 65N08 65N12 65N50 PDFBibTeX XMLCite \textit{F. Cao} et al., J. Sci. Comput. 76, No. 2, 1055--1077 (2018; Zbl 1397.65229) Full Text: DOI
Guzmán, Johnny; Sánchez, Manuel A.; Sarkis, Marcus A finite element method for high-contrast interface problems with error estimates independent of contrast. (English) Zbl 1380.65369 J. Sci. Comput. 73, No. 1, 330-365 (2017). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N15 35J05 35R05 65N12 PDFBibTeX XMLCite \textit{J. Guzmán} et al., J. Sci. Comput. 73, No. 1, 330--365 (2017; Zbl 1380.65369) Full Text: DOI arXiv
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
Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions. (English) Zbl 1349.76212 J. Comput. Phys. 321, 965-980 (2016). MSC: 76M10 65N75 76P05 76X05 PDFBibTeX XMLCite \textit{D. Han} et al., J. Comput. Phys. 321, 965--980 (2016; Zbl 1349.76212) Full Text: DOI
Yang, Qing; Zhang, Xu Discontinuous Galerkin immersed finite element methods for parabolic interface problems. (English) Zbl 1333.65115 J. Comput. Appl. Math. 299, 127-139 (2016). MSC: 65M60 35K20 65M12 65M15 65M20 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{X. Zhang}, J. Comput. Appl. Math. 299, 127--139 (2016; Zbl 1333.65115) Full Text: DOI arXiv
Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. (English) Zbl 1351.78045 J. Comput. Phys. 281, 82-95 (2015). MSC: 78M12 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Comput. Phys. 281, 82--95 (2015; Zbl 1351.78045) Full Text: DOI
Lin, Tao; Lin, Yanping; Zhang, Xu Partially penalized immersed finite element methods for elliptic interface problems. (English) Zbl 1316.65104 SIAM J. Numer. Anal. 53, No. 2, 1121-1144 (2015). MSC: 65N30 35J25 35R05 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{T. Lin} et al., SIAM J. Numer. Anal. 53, No. 2, 1121--1144 (2015; Zbl 1316.65104) Full Text: DOI arXiv
Wang, Bao; Xia, Kelin; Wei, Guo-Wei Matched interface and boundary method for elasticity interface problems. (English) Zbl 1325.74159 J. Comput. Appl. Math. 285, 203-225 (2015). MSC: 74S10 65N06 74A50 74B05 PDFBibTeX XMLCite \textit{B. Wang} et al., J. Comput. Appl. Math. 285, 203--225 (2015; Zbl 1325.74159) Full Text: DOI arXiv
He, Xiaoming; Lin, Tao; Lin, Yanping A selective immersed discontinuous Galerkin method for elliptic interface problems. (English) Zbl 1292.65126 Math. Methods Appl. Sci. 37, No. 7, 983-1002 (2014). MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{X. He} et al., Math. Methods Appl. Sci. 37, No. 7, 983--1002 (2014; Zbl 1292.65126) Full Text: DOI
Lin, Tao; Sheen, Dongwoo; Zhang, Xu A locking-free immersed finite element method for planar elasticity interface problems. (English) Zbl 1349.74328 J. Comput. Phys. 247, 228-247 (2013). MSC: 74S05 65N30 74A60 74B05 PDFBibTeX XMLCite \textit{T. Lin} et al., J. Comput. Phys. 247, 228--247 (2013; Zbl 1349.74328) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei A numerical method for solving 3D elasticity equations with sharp-edged interfaces. (English) Zbl 1302.74171 Int. J. Partial Differ. Equ. 2013, Article ID 476873, 13 p. (2013). MSC: 74S05 65N30 35Q74 74E30 74M15 PDFBibTeX XMLCite \textit{L. Wang} et al., Int. J. Partial Differ. Equ. 2013, Article ID 476873, 13 p. (2013; Zbl 1302.74171) Full Text: DOI
Lin, Tao; Zhang, Xu Linear and bilinear immersed finite elements for planar elasticity interface problems. (English) Zbl 1247.74061 J. Comput. Appl. Math. 236, No. 18, 4681-4699 (2012). MSC: 74S05 35R05 65N15 65N30 74B05 PDFBibTeX XMLCite \textit{T. Lin} and \textit{X. Zhang}, J. Comput. Appl. Math. 236, No. 18, 4681--4699 (2012; Zbl 1247.74061) Full Text: DOI