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
Cui, Cu; Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo Stable generalized finite element method (SGFEM) for three-dimensional crack problems. (English) Zbl 1497.65225 Numer. Math. 152, No. 2, 475-509 (2022). MSC: 65N30 65F08 65F10 65F35 65N12 74B10 74R99 35Q74 PDFBibTeX XMLCite \textit{C. Cui} et al., Numer. Math. 152, No. 2, 475--509 (2022; Zbl 1497.65225) Full Text: DOI
Zhang, Qinghui; Cui, Cu; Banerjee, Uday; Babuška, Ivo A condensed generalized finite element method (CGFEM) for interface problems. (English) Zbl 1507.65256 Comput. Methods Appl. Mech. Eng. 391, Article ID 114537, 25 p. (2022). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114537, 25 p. (2022; Zbl 1507.65256) Full Text: DOI
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm. (English) Zbl 1436.74079 Comput. Methods Appl. Mech. Eng. 363, Article ID 112926, 20 p. (2020). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112926, 20 p. (2020; Zbl 1436.74079) Full Text: DOI
Zhang, Qinghui; Babuška, Ivo A stable generalized finite element method (SGFEM) of degree two for interface problems. (English) Zbl 1436.65192 Comput. Methods Appl. Mech. Eng. 363, Article ID 112889, 21 p. (2020). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{I. Babuška}, Comput. Methods Appl. Mech. Eng. 363, Article ID 112889, 21 p. (2020; Zbl 1436.65192) Full Text: DOI
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. (English) Zbl 1440.74454 Comput. Methods Appl. Mech. Eng. 344, 538-568 (2019). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 344, 538--568 (2019; Zbl 1440.74454) Full Text: DOI
Babuška, Ivo; Banerjee, Uday; Kergrene, Kenan Strongly stable generalized finite element method: application to interface problems. (English) Zbl 1439.74385 Comput. Methods Appl. Mech. Eng. 327, 58-92 (2017). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{I. Babuška} et al., Comput. Methods Appl. Mech. Eng. 327, 58--92 (2017; Zbl 1439.74385) Full Text: DOI
Zhang, Qinghui; Babuška, Ivo; Banerjee, Uday Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities. (English) Zbl 1439.74479 Comput. Methods Appl. Mech. Eng. 311, 476-502 (2016). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Comput. Methods Appl. Mech. Eng. 311, 476--502 (2016; Zbl 1439.74479) Full Text: DOI
Kergrene, Kenan; Babuška, Ivo; Banerjee, Uday Stable generalized finite element method and associated iterative schemes; application to interface problems. (English) Zbl 1425.74472 Comput. Methods Appl. Mech. Eng. 305, 1-36 (2016). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{K. Kergrene} et al., Comput. Methods Appl. Mech. Eng. 305, 1--36 (2016; Zbl 1425.74472) Full Text: DOI arXiv
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U. Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics. (English) Zbl 1423.74886 Comput. Methods Appl. Mech. Eng. 289, 355-386 (2015). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{V. Gupta} et al., Comput. Methods Appl. Mech. Eng. 289, 355--386 (2015; Zbl 1423.74886) Full Text: DOI
Zhang, Qinghui; Banerjee, Uday; Babuška, Ivo Higher order stable generalized finite element method. (English) Zbl 1304.65254 Numer. Math. 128, No. 1, 1-29 (2014). Reviewer: Gunther Schmidt (Berlin) MSC: 65N30 65N15 65N12 65F35 35J25 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Numer. Math. 128, No. 1, 1--29 (2014; Zbl 1304.65254) Full Text: DOI
Gupta, V.; Duarte, C. A.; Babuška, I.; Banerjee, U. A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics. (English) Zbl 1286.74102 Comput. Methods Appl. Mech. Eng. 266, 23-39 (2013). MSC: 74S05 74R99 PDFBibTeX XMLCite \textit{V. Gupta} et al., Comput. Methods Appl. Mech. Eng. 266, 23--39 (2013; Zbl 1286.74102) Full Text: DOI
Babuška, I.; Banerjee, U. Stable generalized finite element method (SGFEM). (English) Zbl 1239.74093 Comput. Methods Appl. Mech. Eng. 201-204, 91-111 (2012). MSC: 74S05 65N30 65N12 PDFBibTeX XMLCite \textit{I. Babuška} and \textit{U. Banerjee}, Comput. Methods Appl. Mech. Eng. 201--204, 91--111 (2012; Zbl 1239.74093) Full Text: DOI arXiv
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
Duarte, C. Armando; Kim, Dae-Jin; Babuška, Ivo A global-local approach for the construction of enrichment functions for the generalized FEM and its application to three-dimensional cracks. en. (English) Zbl 1323.74081 Leitão, V. M. A. (ed.) et al., Advances in meshfree techniques. Invited contributions based on the presentation at the ECCOMAS thematic conference on meshless methods, Lisbon, Portugal, July 11–14, 2005. Dordrecht: Springer (ISBN 978-1-4020-6094-6/hbk; 978-90-481-7533-8/pbk; 978-1-4020-6095-3/ebook). Computational Methods in Applied Sciences (Springer) 5, 1-26 (2007). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{C. A. Duarte} et al., in: Advances in meshfree techniques. Invited contributions based on the presentation at the ECCOMAS thematic conference on meshless methods, Lisbon, Portugal, July 11--14, 2005. Dordrecht: Springer. 1--26 (2007; Zbl 1323.74081) Full Text: DOI
Strouboulis, Theofanis; Babuška, Ivo; Hidajat, Realino The generalized finite element method for Helmholtz equation: theory, computation, and open problems. (English) Zbl 1120.76044 Comput. Methods Appl. Mech. Eng. 195, No. 37-40, 4711-4731 (2006). MSC: 76M10 76Q05 65N30 65N12 PDFBibTeX XMLCite \textit{T. Strouboulis} et al., Comput. Methods Appl. Mech. Eng. 195, No. 37--40, 4711--4731 (2006; Zbl 1120.76044) Full Text: DOI
Strouboulis, Theofanis; Zhang, Lin; Wang, Delin; Babuška, Ivo A posteriori error estimation for generalized finite element methods. (English) Zbl 1119.65111 Comput. Methods Appl. Mech. Eng. 195, No. 9-12, 852-879 (2006). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{T. Strouboulis} et al., Comput. Methods Appl. Mech. Eng. 195, No. 9--12, 852--879 (2006; Zbl 1119.65111) Full Text: DOI
Babuška, Ivo; Banerjee, Uday; Osborn, John E. Generalized finite element methods – main ideas, results and perspective. (English) Zbl 1081.65107 Int. J. Comput. Methods 1, No. 1, 67-103 (2004). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{I. Babuška} et al., Int. J. Comput. Methods 1, No. 1, 67--103 (2004; Zbl 1081.65107) Full Text: DOI
Strouboulis, T.; Copps, K.; Babuška, I. The generalized finite element method. (English) Zbl 0997.74069 Comput. Methods Appl. Mech. Eng. 190, No. 32-33, 4081-4193 (2001). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{T. Strouboulis} et al., Comput. Methods Appl. Mech. Eng. 190, No. 32--33, 4081--4193 (2001; Zbl 0997.74069) Full Text: DOI