Gong, Wenbo; Li, Hengguang; Zhang, Qinghui Improved enrichments and numerical integrations in SGFEM for interface problems. (English) Zbl 07756754 J. Comput. Appl. Math. 438, Article ID 115540, 14 p. (2024). MSC: 65Nxx 74Sxx 35Jxx PDFBibTeX XMLCite \textit{W. Gong} et al., J. Comput. Appl. Math. 438, Article ID 115540, 14 p. (2024; Zbl 07756754) Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin; Miao, Zhen Numerical analysis of the SAV scheme for the EMAC formulation of the time-dependent Navier-Stokes equations. (English) Zbl 07756735 J. Comput. Appl. Math. 438, Article ID 115514, 17 p. (2024). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{W.-W. Han} et al., J. Comput. Appl. Math. 438, Article ID 115514, 17 p. (2024; Zbl 07756735) Full Text: DOI
Kumar, Raman; Deka, Bhupen High-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problems. (English) Zbl 1519.35116 J. Comput. Appl. Math. 432, Article ID 115269, 20 p. (2023). MSC: 35J47 65N15 65N30 PDFBibTeX XMLCite \textit{R. Kumar} and \textit{B. Deka}, J. Comput. Appl. Math. 432, Article ID 115269, 20 p. (2023; Zbl 1519.35116) Full Text: DOI
Ma, Chuwen; Tian, Tian; Zheng, Weiying High-order unfitted characteristic finite element methods for moving interface problem of Oseen equations. (English) Zbl 1514.65133 J. Comput. Appl. Math. 425, Article ID 115028, 29 p. (2023). MSC: 65M60 65L07 76D05 PDFBibTeX XMLCite \textit{C. Ma} et al., J. Comput. Appl. Math. 425, Article ID 115028, 29 p. (2023; Zbl 1514.65133) Full Text: DOI
Cesmelioglu, Aycil; Rhebergen, Sander A hybridizable discontinuous Galerkin method for the coupled Navier-Stokes and Darcy problem. (English) Zbl 1499.65648 J. Comput. Appl. Math. 422, Article ID 114923, 17 p. (2023). MSC: 65N30 65N12 65N15 76D05 76M10 76S05 PDFBibTeX XMLCite \textit{A. Cesmelioglu} and \textit{S. Rhebergen}, J. Comput. Appl. Math. 422, Article ID 114923, 17 p. (2023; Zbl 1499.65648) Full Text: DOI arXiv
Aretaki, Aikaterini; Karatzas, Efthymios N. Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements. (English) Zbl 1493.65187 J. Comput. Appl. Math. 412, Article ID 114286, 19 p. (2022). MSC: 65N30 65C05 65N55 65F08 65F10 65F50 65N15 49M41 60H30 35R11 PDFBibTeX XMLCite \textit{A. Aretaki} and \textit{E. N. Karatzas}, J. Comput. Appl. Math. 412, Article ID 114286, 19 p. (2022; Zbl 1493.65187) Full Text: DOI arXiv
Li, Yibao; Liu, Rui; Xia, Qing; He, Chenxi; Li, Zhong First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces. (English) Zbl 1503.65178 J. Comput. Appl. Math. 401, Article ID 113778, 15 p. (2022). MSC: 65M06 65N50 65F10 65Y10 35Q35 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Appl. Math. 401, Article ID 113778, 15 p. (2022; Zbl 1503.65178) Full Text: DOI
Guo, Ruchi; Lin, Tao; Lin, Yanping; Zhuang, Qiao Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems. (English) Zbl 1459.35095 J. Comput. Appl. Math. 390, Article ID 113378, 12 p. (2021). MSC: 35J05 35J25 65N30 PDFBibTeX XMLCite \textit{R. Guo} et al., J. Comput. Appl. Math. 390, Article ID 113378, 12 p. (2021; Zbl 1459.35095) Full Text: DOI arXiv
Han, Yongbin; Hou, Yanren Robust error analysis of \(H(\mathrm{div})\)-conforming DG method for the time-dependent incompressible Navier-Stokes equations. (English) Zbl 1464.76055 J. Comput. Appl. Math. 390, Article ID 113365, 14 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D05 65M60 65M12 PDFBibTeX XMLCite \textit{Y. Han} and \textit{Y. Hou}, J. Comput. Appl. Math. 390, Article ID 113365, 14 p. (2021; Zbl 1464.76055) Full Text: DOI
Xue, Dandan; Hou, Yanren Numerical analysis of a second order algorithm for a non-stationary Navier-Stokes/Darcy model. (English) Zbl 1440.65236 J. Comput. Appl. Math. 369, Article ID 112579, 26 p. (2020). MSC: 65N30 65M70 65N15 65M12 76D05 76S05 76M10 65B05 PDFBibTeX XMLCite \textit{D. Xue} and \textit{Y. Hou}, J. Comput. Appl. Math. 369, Article ID 112579, 26 p. (2020; Zbl 1440.65236) Full Text: DOI
Cesmelioglu, Aycil; Rhebergen, Sander; Wells, Garth N. An embedded-hybridized discontinuous Galerkin method for the coupled Stokes-Darcy system. (English) Zbl 1428.65078 J. Comput. Appl. Math. 367, Article ID 112476, 16 p. (2020). MSC: 65N30 65N12 65N15 76D07 76S05 35B45 PDFBibTeX XMLCite \textit{A. Cesmelioglu} et al., J. Comput. Appl. Math. 367, Article ID 112476, 16 p. (2020; Zbl 1428.65078) Full Text: DOI arXiv
Zhu, Pengfei; Zhang, Qinghui; Liu, Tingyun Stable generalized finite element method (SGFEM) for parabolic interface problems. (English) Zbl 1464.65135 J. Comput. Appl. Math. 367, Article ID 112475, 19 p. (2020). MSC: 65M60 65M06 65M12 65F35 PDFBibTeX XMLCite \textit{P. Zhu} et al., J. Comput. Appl. Math. 367, Article ID 112475, 19 p. (2020; Zbl 1464.65135) Full Text: DOI
Chernyshenko, Alexey Y.; Olshanskii, Maxim A. An unfitted finite element method for the Darcy problem in a fracture network. (English) Zbl 1448.76152 J. Comput. Appl. Math. 366, Article ID 112424, 14 p. (2020). MSC: 76S05 76M10 65N12 PDFBibTeX XMLCite \textit{A. Y. Chernyshenko} and \textit{M. A. Olshanskii}, J. Comput. Appl. Math. 366, Article ID 112424, 14 p. (2020; Zbl 1448.76152) Full Text: DOI arXiv
Li, Ruo; Sun, Zhiyuan; Yang, Fanyi; Yang, Zhijian A finite element method by patch reconstruction for the Stokes problem using mixed formulations. (English) Zbl 1427.65371 J. Comput. Appl. Math. 353, 1-20 (2019). Reviewer: Sarah Eberle (Frankfurt am Main) MSC: 65N30 76M10 35Q35 65N12 65N50 76D07 PDFBibTeX XMLCite \textit{R. Li} et al., J. Comput. Appl. Math. 353, 1--20 (2019; Zbl 1427.65371) Full Text: DOI arXiv