Kravetc, Tatiana Blending spline surfaces over polygon mesh and their application to isogeometric analysis. (English) Zbl 07750309 Comput. Math. Appl. 149, 84-98 (2023). MSC: 65N30 74S05 65D07 65D05 76M10 PDFBibTeX XMLCite \textit{T. Kravetc}, Comput. Math. Appl. 149, 84--98 (2023; Zbl 07750309) Full Text: DOI
Fonseca, Gabriela M.; Barros, Felício B.; de Oliveira, Thaianne S.; Monteiro, Humberto A. S.; Novelli, Larissa; Pitangueira, Roque L. S. 2-D crack propagation analysis using stable generalized finite element method with global-local enrichments. (English) Zbl 1464.74174 Eng. Anal. Bound. Elem. 118, 70-83 (2020). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{G. M. Fonseca} et al., Eng. Anal. Bound. Elem. 118, 70--83 (2020; Zbl 1464.74174) Full Text: DOI
Liu, Feng; Zhang, Kaiyu; Xu, Dongdong Crack analysis using numerical manifold method with strain smoothing technique and corrected approximation for blending elements. (English) Zbl 1464.74147 Eng. Anal. Bound. Elem. 113, 402-415 (2020). MSC: 74R10 65N30 PDFBibTeX XMLCite \textit{F. Liu} et al., Eng. Anal. Bound. Elem. 113, 402--415 (2020; Zbl 1464.74147) Full Text: DOI
Durga Rao, S. S.; Raju, Sethuraman Stable generalized iso-geometric analysis (SGIGA) for problems with discontinuities and singularities. (English) Zbl 1440.65198 Comput. Methods Appl. Mech. Eng. 348, 535-574 (2019). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{S. S. Durga Rao} and \textit{S. Raju}, Comput. Methods Appl. Mech. Eng. 348, 535--574 (2019; Zbl 1440.65198) Full Text: DOI
de Oliveira, Thaianne S.; Barros, Felício B.; Fonseca, Gabriela M.; Pitangueira, Roque L. S. 2-D fracture mechanics problems by SGFEM. (English) Zbl 1464.74170 Eng. Anal. Bound. Elem. 108, 279-294 (2019). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{T. S. de Oliveira} et al., Eng. Anal. Bound. Elem. 108, 279--294 (2019; Zbl 1464.74170) Full Text: DOI
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
Lins, R. M.; Ferreira, M. D. C.; Proença, S. P. B.; Duarte, C. A. An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method. (English) Zbl 1336.74067 Comput. Mech. 56, No. 6, 947-965 (2015). MSC: 74S05 65N30 65N15 74B05 74R10 PDFBibTeX XMLCite \textit{R. M. Lins} et al., Comput. Mech. 56, No. 6, 947--965 (2015; Zbl 1336.74067) Full Text: DOI
Khoei, A. R.; Vahab, M.; Ehsani, H.; Rafieerad, M. X-FEM modeling of large plasticity deformation; a convergence study on various blending strategies for weak discontinuities. (English) Zbl 1327.74135 Eur. J. Comput. Mech. 24, No. 3, 79-106 (2015). MSC: 74S05 65N30 65N12 74C99 PDFBibTeX XMLCite \textit{A. R. Khoei} et al., Eur. J. Comput. Mech. 24, No. 3, 79--106 (2015; Zbl 1327.74135) 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
Zhu, Qi-Zhi On enrichment functions in the extended finite element method. (English) Zbl 1246.74066 Int. J. Numer. Methods Eng. 91, No. 2, 186-217 (2012). MSC: 74S05 74E05 PDFBibTeX XMLCite \textit{Q.-Z. Zhu}, Int. J. Numer. Methods Eng. 91, No. 2, 186--217 (2012; Zbl 1246.74066) Full Text: DOI Link
Loehnert, S.; Mueller-Hoeppe, D. S.; Wriggers, P. 3D corrected XFEM approach and extension to finite deformation theory. (English) Zbl 1216.74026 Int. J. Numer. Methods Eng. 86, No. 4-5, 431-452 (2011). MSC: 74S05 74R10 74B20 PDFBibTeX XMLCite \textit{S. Loehnert} et al., Int. J. Numer. Methods Eng. 86, No. 4--5, 431--452 (2011; Zbl 1216.74026) Full Text: DOI
Ventura, Giulio; Gracie, Robert; Belytschko, Ted Fast integration and weight function blending in the extended finite element method. (English) Zbl 1195.74201 Int. J. Numer. Methods Eng. 77, No. 1, 1-29 (2009). MSC: 74S05 PDFBibTeX XMLCite \textit{G. Ventura} et al., Int. J. Numer. Methods Eng. 77, No. 1, 1--29 (2009; Zbl 1195.74201) Full Text: DOI
Gracie, Robert; Wang, Hongwu; Belytschko, Ted Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. (English) Zbl 1195.74175 Int. J. Numer. Methods Eng. 74, No. 11, 1645-1669 (2008). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{R. Gracie} et al., Int. J. Numer. Methods Eng. 74, No. 11, 1645--1669 (2008; Zbl 1195.74175) Full Text: DOI
Pasadas, M.; Rodríguez, M. L. Construction of blending surfaces by parametric discrete interpolation PDE splines. (English) Zbl 1145.65007 Math. Comput. Simul. 77, No. 2-3, 282-290 (2008). Reviewer: Ivana Linkeová (Praha) MSC: 65D17 65D07 PDFBibTeX XMLCite \textit{M. Pasadas} and \textit{M. L. Rodríguez}, Math. Comput. Simul. 77, No. 2--3, 282--290 (2008; Zbl 1145.65007) Full Text: DOI
Oh, Hae-Soo Accurate mode-separated energy release rates for delamination cracks. (English) Zbl 1047.74064 J. Comput. Phys. 193, No. 1, 86-114 (2004). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{H.-S. Oh}, J. Comput. Phys. 193, No. 1, 86--114 (2004; Zbl 1047.74064) Full Text: DOI
Chessa, Jack; Wang, Hongwu; Belytschko, Ted On the construction of blending elements for local partition of unity enriched finite elements. (English) Zbl 1035.65122 Int. J. Numer. Methods Eng. 57, No. 7, 1015-1038 (2003). MSC: 65N30 65N12 35J05 35R05 PDFBibTeX XMLCite \textit{J. Chessa} et al., Int. J. Numer. Methods Eng. 57, No. 7, 1015--1038 (2003; Zbl 1035.65122) Full Text: DOI
Li, Zi Cai; Yan, Ningning Global superconvergence for blending surfaces by boundary penalty plus hybrid FEMs. (English) Zbl 0989.65135 Appl. Numer. Math. 39, No. 1, 61-85 (2001). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N30 65N12 35J40 PDFBibTeX XMLCite \textit{Z. C. Li} and \textit{N. Yan}, Appl. Numer. Math. 39, No. 1, 61--85 (2001; Zbl 0989.65135) Full Text: DOI
Shephard, M. S.; Dey, S.; Flaherty, J. E. A straightforward structure to construct shape functions for variable \(p\)-order meshes. (English) Zbl 0886.65004 Comput. Methods Appl. Mech. Eng. 147, No. 3-4, 209-233 (1997). MSC: 65D05 65N50 65N30 74S05 PDFBibTeX XMLCite \textit{M. S. Shephard} et al., Comput. Methods Appl. Mech. Eng. 147, No. 3--4, 209--233 (1997; Zbl 0886.65004) Full Text: DOI
Kegl, M.; Butinar, B. J.; Oblak, M. M. Shape optimal design of elastic planar frames with nonlinear response. (English) Zbl 0849.73044 Int. J. Numer. Methods Eng. 38, No. 19, 3227-3242 (1995). Reviewer: St.Jendo (Warszawa) MSC: 74P99 74K10 74S05 74B20 PDFBibTeX XMLCite \textit{M. Kegl} et al., Int. J. Numer. Methods Eng. 38, No. 19, 3227--3242 (1995; Zbl 0849.73044) Full Text: DOI
Altenbach, J. Locally blending interpolation technique in finite element mesh refinements and improved stress analysis. (English) Zbl 0709.73086 Discretization methods in structural mechanics, Proc. IUTAM/IACM Symp., Vienna/Aust. 1989, 61-70 (1990). MSC: 74S05 65D05 PDFBibTeX XML
Sarigul, Nesrin; Gallagher, Richard H. Assumed stress function finite element method: Two-dimensional elasticity. (English) Zbl 0724.73218 Int. J. Numer. Methods Eng. 28, No. 7, 1577-1598 (1989). MSC: 74S05 74B10 PDFBibTeX XMLCite \textit{N. Sarigul} and \textit{R. H. Gallagher}, Int. J. Numer. Methods Eng. 28, No. 7, 1577--1598 (1989; Zbl 0724.73218) Full Text: DOI
Geise, Gerhard Composite geometric continuous Lagrange-Hermite curves. (English) Zbl 0678.65005 Splines in numerical analysis, Contrib. Int. Semin., ISAM-89, Weissig/GDR 1989, Math. Res. 52, 77-79 (1989). Reviewer: Z.Schneider MSC: 65D07 PDFBibTeX XML
Altenbach, J.; Scholz, E. Local mesh refinements and macro transition elements in stress analysis. (English) Zbl 0688.73048 The mathematics of finite elements and applications VI, MAFELAP 1987, Proc. 6th Conf., Uxbridge/UK 1987, 123-135 (1988). MSC: 74S05 65N50 74P99 PDFBibTeX XML
Hennart, J. P.; Mund, E. H. On the h- and p-versions of the extrapolated Gordon’s projector with applications to elliptic equations. (English) Zbl 0658.65104 SIAM J. Sci. Stat. Comput. 9, No. 5, 773-791 (1988). Reviewer: J.Weisel MSC: 65N30 65Y05 35J25 65B05 PDFBibTeX XMLCite \textit{J. P. Hennart} and \textit{E. H. Mund}, SIAM J. Sci. Stat. Comput. 9, No. 5, 773--791 (1988; Zbl 0658.65104) Full Text: DOI
Wait, R.; Mitchell, A. R. Finite element analysis and applications. (English) Zbl 0577.65093 A Wiley-Intersience Publication. Chichester etc.: John Wiley & Sons. XII, 260 p. £10.95 (1985). Reviewer: M.Sussman MSC: 65N30 74S05 65-02 76M99 00A06 PDFBibTeX XML
Wachspress, E. L. Basis functions and evaluation of element characteristics. (English) Zbl 0528.65061 State-of-the-art surveys on finite element technology, ASME, 25-56 (1983). MSC: 65N50 65N30 65D15 PDFBibTeX XML
Gordon, William J.; Thiel, Linda C. Transfinite mappings and their application to grid generation. (English) Zbl 0495.65053 Appl. Math. Comput. 10-11, 171-192 (1982). MSC: 65N50 65N30 74S05 PDFBibTeX XMLCite \textit{W. J. Gordon} and \textit{L. C. Thiel}, Appl. Math. Comput. 10--11, 171--192 (1982; Zbl 0495.65053) Full Text: DOI
McLeod, Robin J. Y. Some application of geometry in numerical analysis. (English) Zbl 0477.65008 Numerical analysis, Proc. 9th bienn. Conf., Dundee/Scotl. 1981, Lect. Notes Math. 912, 190-229 (1982). MSC: 65D05 41A05 65N30 74S05 51N15 PDFBibTeX XML
Zacharias, Cecily; Rao, V. Subba On the construction of triangular finite elements. (English) Zbl 0479.65007 J. Math. Phys. Sci. 15, 607-637 (1981). MSC: 65D05 74S05 41A05 41A63 PDFBibTeX XMLCite \textit{C. Zacharias} and \textit{V. S. Rao}, J. Math. Phys. Sci. 15, 607--637 (1981; Zbl 0479.65007)
Wachspress, E. L. High-order curved finite elements. (English) Zbl 0461.65008 Int. J. Numer. Methods Eng. 17, 735-745 (1981). MSC: 65D05 65N30 41A10 74S05 PDFBibTeX XMLCite \textit{E. L. Wachspress}, Int. J. Numer. Methods Eng. 17, 735--745 (1981; Zbl 0461.65008) Full Text: DOI
Wachspress, E. L. A numerically expedient rational finite element. (English) Zbl 0479.41012 Approximation theory III, Proc. Conf. Hon. G.G. Lorentz, Austin/ Tex. 1980, 897-904 (1980). MSC: 41A20 65D10 PDFBibTeX XML
Nielson, Gregory M. Blending methods of minimum norm for triangular domains. (English) Zbl 0436.65003 Rev. Roum. Math. Pures Appl. 25, 899-910 (1980). MSC: 65D05 41A05 41A63 65N30 PDFBibTeX XMLCite \textit{G. M. Nielson}, Rev. Roum. Math. Pures Appl. 25, 899--910 (1980; Zbl 0436.65003)
Hafez, M. M.; Murman, E. M.; Wellford, L. C. Application of finite element approach to transonic flow problems. (English) Zbl 0442.76050 Finite element methods in flow problems, 2nd int. Symp., S. Margherita Ligure/Italy 1976, 173-187 (1976). MSC: 76H05 65N30 PDFBibTeX XML