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
Chou, So-Hsiang; Attanayake, C. Construction of discontinuous enrichment functions for enriched or generalized FEM’s for interface elliptic problems in 1D. (English) Zbl 07711020 J. Comput. Appl. Math. 428, Article ID 115180, 13 p. (2023). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{S.-H. Chou} and \textit{C. Attanayake}, J. Comput. Appl. Math. 428, Article ID 115180, 13 p. (2023; Zbl 07711020) 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
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. (English) Zbl 1492.65308 J. Comput. Appl. Math. 416, Article ID 114567, 19 p. (2022). MSC: 65N30 65N15 82B24 PDFBibTeX XMLCite \textit{Z. Gharibi} et al., J. Comput. Appl. Math. 416, Article ID 114567, 19 p. (2022; Zbl 1492.65308) Full Text: DOI
Zhang, Jicheng; Deng, Quanling; Li, Xin A generalized isogeometric analysis of elliptic eigenvalue and source problems with an interface. (English) Zbl 1493.65240 J. Comput. Appl. Math. 407, Article ID 114053, 22 p. (2022). MSC: 65N30 65D07 65N25 65N12 65N15 65F35 35J25 35P15 PDFBibTeX XMLCite \textit{J. Zhang} et al., J. Comput. Appl. Math. 407, Article ID 114053, 22 p. (2022; Zbl 1493.65240) Full Text: DOI
Rukavishnikov, Viktor A.; Rukavishnikova, Elena I. Error estimate FEM for the Nikol’skij-Lizorkin problem with degeneracy. (English) Zbl 1477.65240 J. Comput. Appl. Math. 403, Article ID 113841, 11 p. (2022). MSC: 65N30 65Z05 65N15 65N12 65N50 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{E. I. Rukavishnikova}, J. Comput. Appl. Math. 403, Article ID 113841, 11 p. (2022; Zbl 1477.65240) 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
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
Mu, Lin; Zhang, Xu An immersed weak Galerkin method for elliptic interface problems. (English) Zbl 1422.65404 J. Comput. Appl. Math. 362, 471-483 (2019). MSC: 65N30 65N15 35J15 PDFBibTeX XMLCite \textit{L. Mu} and \textit{X. Zhang}, J. Comput. Appl. Math. 362, 471--483 (2019; Zbl 1422.65404) Full Text: DOI arXiv
Zhou, Y. C.; Gupta, Varun Interface solutions of partial differential equations with point singularity. (English) Zbl 1451.74039 J. Comput. Appl. Math. 362, 400-409 (2019). MSC: 74A45 35Q74 35B65 74B05 PDFBibTeX XMLCite \textit{Y. C. Zhou} and \textit{V. Gupta}, J. Comput. Appl. Math. 362, 400--409 (2019; Zbl 1451.74039) Full Text: DOI Link
Court, Sébastien A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces. (English) Zbl 1416.76102 J. Comput. Appl. Math. 359, 30-54 (2019). MSC: 76M10 65N30 76D45 65M85 76T10 76D05 PDFBibTeX XMLCite \textit{S. Court}, J. Comput. Appl. Math. 359, 30--54 (2019; Zbl 1416.76102) Full Text: DOI arXiv
Xu, Minqiang; Zhao, Zhihong; Niu, Jing; Guo, Li; Lin, Yingzhen A simplified reproducing kernel method for 1-D elliptic type interface problems. (English) Zbl 1409.65048 J. Comput. Appl. Math. 351, 29-40 (2019). MSC: 65L10 65L20 65L60 PDFBibTeX XMLCite \textit{M. Xu} et al., J. Comput. Appl. Math. 351, 29--40 (2019; Zbl 1409.65048) Full Text: DOI
Qarariyah, Ammar; Deng, Fang; Yang, Tianhui; Liu, Yuan; Deng, Jiansong Isogeometric analysis on implicit domains using weighted extended PHT-splines. (English) Zbl 1524.65854 J. Comput. Appl. Math. 350, 353-371 (2019). MSC: 65N30 65D17 65D07 74S05 41A15 65N50 PDFBibTeX XMLCite \textit{A. Qarariyah} et al., J. Comput. Appl. Math. 350, 353--371 (2019; Zbl 1524.65854) Full Text: DOI
Badia, Santiago; Verdugo, Francesc Robust and scalable domain decomposition solvers for unfitted finite element methods. (English) Zbl 1462.65216 J. Comput. Appl. Math. 344, 740-759 (2018). MSC: 65N55 65N30 65F08 65N20 65Y05 PDFBibTeX XMLCite \textit{S. Badia} and \textit{F. Verdugo}, J. Comput. Appl. Math. 344, 740--759 (2018; Zbl 1462.65216) Full Text: DOI arXiv
Dong, Haixia; Ying, Wenjun; Zhang, Jiwei A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations. (English) Zbl 1398.65350 J. Comput. Appl. Math. 344, 624-639 (2018). MSC: 65R20 65N30 PDFBibTeX XMLCite \textit{H. Dong} et al., J. Comput. Appl. Math. 344, 624--639 (2018; Zbl 1398.65350) Full Text: DOI
Lee, Seungwoo; Kwak, Do Y.; Sim, Imbo Immersed finite element method for eigenvalue problem. (English) Zbl 1353.65116 J. Comput. Appl. Math. 313, 410-426 (2017). MSC: 65N25 35P15 65N30 65N12 PDFBibTeX XMLCite \textit{S. Lee} et al., J. Comput. Appl. Math. 313, 410--426 (2017; Zbl 1353.65116) 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
Xia, Kelin; Zhan, Meng; Wei, Guo-Wei MIB Galerkin method for elliptic interface problems. (English) Zbl 1294.65103 J. Comput. Appl. Math. 272, 195-220 (2014). MSC: 65N30 35J25 35R05 65N12 PDFBibTeX XMLCite \textit{K. Xia} et al., J. Comput. Appl. Math. 272, 195--220 (2014; Zbl 1294.65103) Full Text: DOI
Park, Jang Min; Hulsen, Martien A.; Anderson, Patrick D. An extended finite element method for a diffuse-interface model. (English) Zbl 1302.76107 J. Comput. Appl. Math. 272, 25-40 (2014). MSC: 76M10 65M60 76T99 PDFBibTeX XMLCite \textit{J. M. Park} et al., J. Comput. Appl. Math. 272, 25--40 (2014; Zbl 1302.76107) Full Text: DOI
Babuška, Ivo; Nistor, Victor; Tarfulea, Nicolae Generalized finite element method for second-order elliptic operators with Dirichlet boundary conditions. (English) Zbl 1153.65106 J. Comput. Appl. Math. 218, No. 1, 175-183 (2008). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 PDFBibTeX XMLCite \textit{I. Babuška} et al., J. Comput. Appl. Math. 218, No. 1, 175--183 (2008; Zbl 1153.65106) Full Text: DOI
Wyart, E.; Duflot, M.; Coulon, D.; Martiny, P.; Pardoen, T.; Remacle, J.-F.; Lani, F. Substructuring FE-XFE approaches applied to three-dimensional crack propagation. (English) Zbl 1350.74023 J. Comput. Appl. Math. 215, No. 2, 626-638 (2008). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{E. Wyart} et al., J. Comput. Appl. Math. 215, No. 2, 626--638 (2008; Zbl 1350.74023) Full Text: DOI
Pan, Tsorng-Whay; Glowinski, Roland; Galdi, Giovanni P. Direct simulation of the motion of a settling ellipsoid in Newtonian fluid. (English) Zbl 1058.76050 J. Comput. Appl. Math. 149, No. 1, 71-82 (2002); addendum 156, No. 2, 499 (2003). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{T.-W. Pan} et al., J. Comput. Appl. Math. 149, No. 1, 71--82 (2002; Zbl 1058.76050) Full Text: DOI