He, Lishen; Valocchi, Albert J.; Duarte, C. A. An adaptive global-local generalized FEM for multiscale advection-diffusion problems. (English) Zbl 07823434 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116548, 17 p. (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{L. He} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116548, 17 p. (2024; Zbl 07823434) Full Text: DOI
Li, Kangan; Rodríguez-Ferran, Antonio; Scovazzi, Guglielmo The simple shifted fracture method. (English) Zbl 07772234 Int. J. Numer. Methods Eng. 124, No. 12, 2837-2875 (2023). MSC: 74R10 74S05 74S99 PDFBibTeX XMLCite \textit{K. Li} et al., Int. J. Numer. Methods Eng. 124, No. 12, 2837--2875 (2023; Zbl 07772234) Full Text: DOI
He, Lishen; Valocchi, Albert J.; Duarte, C. A. A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales. (English) Zbl 07696956 J. Comput. Phys. 488, Article ID 112179, 24 p. (2023). MSC: 65Nxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{L. He} et al., J. Comput. Phys. 488, Article ID 112179, 24 p. (2023; Zbl 07696956) Full Text: DOI
Salzman, Alexis; Moës, Nicolas A two-scale solver for linear elasticity problems in the context of parallel message passing. (English) Zbl 07665581 Comput. Methods Appl. Mech. Eng. 407, Article ID 115914, 49 p. (2023). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{A. Salzman} and \textit{N. Moës}, Comput. Methods Appl. Mech. Eng. 407, Article ID 115914, 49 p. (2023; Zbl 07665581) Full Text: DOI arXiv
Wu, Jie 3D simulation of complex fractures with a simple mesh. (English) Zbl 07768049 Int. J. Numer. Methods Eng. 123, No. 16, 3713-3732 (2022). MSC: 74Sxx 74Rxx 74Kxx PDFBibTeX XMLCite \textit{J. Wu}, Int. J. Numer. Methods Eng. 123, No. 16, 3713--3732 (2022; Zbl 07768049) Full Text: DOI
Latifaghili, Amir; Bybordiani, Milad; Erkmen, Recep Emre; Dias-da-Costa, Daniel An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interface problems. (English) Zbl 07767233 Int. J. Numer. Methods Eng. 123, No. 6, 1432-1455 (2022). MSC: 74Sxx 74Rxx 65Nxx PDFBibTeX XMLCite \textit{A. Latifaghili} et al., Int. J. Numer. Methods Eng. 123, No. 6, 1432--1455 (2022; Zbl 07767233) Full Text: DOI
Li, H.; Avecillas-Leon, J.; Shauer, N.; Duarte, C. A. A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models. (English) Zbl 1507.74488 Comput. Methods Appl. Mech. Eng. 402, Article ID 115408, 34 p. (2022). MSC: 74S05 74K25 PDFBibTeX XMLCite \textit{H. Li} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115408, 34 p. (2022; Zbl 1507.74488) Full Text: DOI
Agathos, Konstantinos; Dodwell, Tim; Chatzi, Eleni; Bordas, Stéphane P. A. An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems. (English) Zbl 1507.74438 Comput. Methods Appl. Mech. Eng. 395, Article ID 114937, 23 p. (2022). MSC: 74S05 65N30 65K10 74R10 PDFBibTeX XMLCite \textit{K. Agathos} et al., Comput. Methods Appl. Mech. Eng. 395, Article ID 114937, 23 p. (2022; Zbl 1507.74438) Full Text: DOI arXiv
Pinheiro, D. C. C.; Barros, F. B.; Pitangueira, R. L. S. Global-local analysis with element free Galerkin method. (English) Zbl 1521.74245 Eng. Anal. Bound. Elem. 136, 186-203 (2022). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{D. C. C. Pinheiro} et al., Eng. Anal. Bound. Elem. 136, 186--203 (2022; Zbl 1521.74245) Full Text: DOI
Tang, Jinsong; Qian, Linfang; Chen, Guangsong A smoothed GFEM based on Taylor expansion and constrained MLS for analysis of Reissner-Mindlin plate. (English) Zbl 07488888 Int. J. Comput. Methods 18, No. 10, Article ID 2150048, 40 p. (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{J. Tang} et al., Int. J. Comput. Methods 18, No. 10, Article ID 2150048, 40 p. (2021; Zbl 07488888) Full Text: DOI
Geelen, Rudy; Plews, Julia; Dolbow, John Scale-bridging with the extended/generalized finite element method for linear elastodynamics. (English) Zbl 1480.74288 Comput. Mech. 68, No. 2, 295-310 (2021). MSC: 74S05 74B05 74H15 PDFBibTeX XMLCite \textit{R. Geelen} et al., Comput. Mech. 68, No. 2, 295--310 (2021; Zbl 1480.74288) Full Text: DOI
Doškář, Martin; Zeman, Jan; Krysl, Petr; Novák, Jan Microstructure-informed reduced modes synthesized with Wang tiles and the generalized finite element method. (English) Zbl 1480.74042 Comput. Mech. 68, No. 2, 233-253 (2021). MSC: 74E05 74E35 74M25 74S05 PDFBibTeX XMLCite \textit{M. Doškář} et al., Comput. Mech. 68, No. 2, 233--253 (2021; Zbl 1480.74042) Full Text: DOI arXiv
Sanchez-Rivadeneira, A. G.; Duarte, C. A. A high-order generalized finite element method for multiscale structural dynamics and wave propagation. (English) Zbl 1506.74440 Comput. Methods Appl. Mech. Eng. 384, Article ID 113934, 27 p. (2021). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{A. G. Sanchez-Rivadeneira} and \textit{C. A. Duarte}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113934, 27 p. (2021; Zbl 1506.74440) Full Text: DOI
Shilt, Troy; O’Hara, Patrick J.; McNamara, Jack J. Stabilization of advection dominated problems through a generalized finite element method. (English) Zbl 1506.76100 Comput. Methods Appl. Mech. Eng. 383, Article ID 113889, 29 p. (2021). MSC: 76M10 65M60 65M12 PDFBibTeX XMLCite \textit{T. Shilt} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113889, 29 p. (2021; Zbl 1506.76100) Full Text: DOI
Iqbal, M.; Alam, K.; Gimperlein, H.; Laghrouche, O.; Mohamed, M. S. Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems. (English) Zbl 1481.80004 Appl. Math. Modelling 85, 89-106 (2020). MSC: 80A19 65M15 65M60 PDFBibTeX XMLCite \textit{M. Iqbal} et al., Appl. Math. Modelling 85, 89--106 (2020; Zbl 1481.80004) Full Text: DOI
Novelli, Larissa; Oliveira, Thaianne Simonetti de; Monteiro, Humberto Alves da Silveira; Fonseca, Gabriela Marinho; Pitangueira, Roque Luiz da Silva; Barros, Felício Bruzzi Stable generalized/extended finite element method with global-local enrichment for material nonlinear analysis. (English) Zbl 1506.74426 Comput. Methods Appl. Mech. Eng. 372, Article ID 113429, 25 p. (2020). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{L. Novelli} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113429, 25 p. (2020; Zbl 1506.74426) 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
Tirvaudey, Marie; Chamoin, Ludovic; Bouclier, Robin; Passieux, Jean-Charles A posteriori error estimation and adaptivity in non-intrusive couplings between concurrent models. (English) Zbl 1442.74239 Comput. Methods Appl. Mech. Eng. 367, Article ID 113104, 27 p. (2020). MSC: 74S05 65N30 65N15 PDFBibTeX XMLCite \textit{M. Tirvaudey} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113104, 27 p. (2020; Zbl 1442.74239) Full Text: DOI
Schätzer, Markus; Fries, Thomas-Peter Loaded crack surfaces in two and three dimensions with XFEM. (English) Zbl 1481.74673 Appl. Math. Modelling 78, 863-885 (2020). MSC: 74R10 PDFBibTeX XMLCite \textit{M. Schätzer} and \textit{T.-P. Fries}, Appl. Math. Modelling 78, 863--885 (2020; Zbl 1481.74673) Full Text: DOI
Lv, Jia-He; Jiao, Yu-Yong; Rabczuk, Timon; Zhuang, Xiao-Ying; Feng, Xia-Ting; Tan, Fei A general algorithm for numerical integration of three-dimensional crack singularities in PU-based numerical methods. (English) Zbl 1436.74082 Comput. Methods Appl. Mech. Eng. 363, Article ID 112908, 33 p. (2020). MSC: 74S15 65N38 74R10 PDFBibTeX XMLCite \textit{J.-H. Lv} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112908, 33 p. (2020; Zbl 1436.74082) Full Text: DOI
Evangelista, Francisco jun.; Alves, Gelson de Sousa; Moreira, José Fabiano Araújo; de Paiva, Guilherme Oliveira Ferraz A global-local strategy with the generalized finite element framework for continuum damage models. (English) Zbl 1436.74066 Comput. Methods Appl. Mech. Eng. 363, Article ID 112888, 20 p. (2020). MSC: 74S05 65N30 74A45 PDFBibTeX XMLCite \textit{F. Evangelista jun.} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112888, 20 p. (2020; Zbl 1436.74066) Full Text: DOI
Monteiro, H. A. S.; Novelli, L.; Fonseca, G. M.; Pitangueira, R. L. S.; Barros, F. B. A new approach for physically nonlinear analysis of continuum damage mechanics problems using the generalized/extended finite element method with global-local enrichment. (English) Zbl 1464.74192 Eng. Anal. Bound. Elem. 113, 277-295 (2020). MSC: 74S05 65N30 74A45 PDFBibTeX XMLCite \textit{H. A. S. Monteiro} et al., Eng. Anal. Bound. Elem. 113, 277--295 (2020; Zbl 1464.74192) Full Text: DOI
Ren, Bo; Wu, C. T.; Lyu, Dandan An \(h\)-adaptive meshfree-enriched finite element method based on convex approximations for the three-dimensional ductile crack propagation simulation. (English) Zbl 1440.65153 Comput. Aided Geom. Des. 76, Article ID 101795, 15 p. (2020). MSC: 65M75 65M60 65M06 65M50 74S05 74R10 35Q74 PDFBibTeX XMLCite \textit{B. Ren} et al., Comput. Aided Geom. Des. 76, Article ID 101795, 15 p. (2020; Zbl 1440.65153) Full Text: DOI
Trask, Nathaniel; Bochev, Pavel; Perego, Mauro Mitigation of the self-force effect in unstructured PIC codes using generalized moving least squares. (English) Zbl 1442.65278 Comput. Math. Appl. 78, No. 2, 688-705 (2019). MSC: 65M60 82D10 PDFBibTeX XMLCite \textit{N. Trask} et al., Comput. Math. Appl. 78, No. 2, 688--705 (2019; Zbl 1442.65278) Full Text: DOI
Malek, Mustapha; Izem, Nouh; Seaid, Mohammed; Mohamed, M. Shadi; Wakrim, Mohamed A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials. (English) Zbl 1438.65240 Comput. Appl. Math. 38, No. 2, Paper No. 31, 19 p. (2019). MSC: 65M60 35K59 74A40 80A19 80M10 PDFBibTeX XMLCite \textit{M. Malek} et al., Comput. Appl. Math. 38, No. 2, Paper No. 31, 19 p. (2019; Zbl 1438.65240) Full Text: DOI
Shang, Hsu Yang; Machado, Roberto Dalledone; Abdalla Filho, Joao Elias On the performance of GFEM with trigonometric enrichment in bidimensional dynamic elastoplastic modelling. (English) Zbl 1406.74645 Eur. J. Mech., A, Solids 73, 512-527 (2019). MSC: 74S05 65M60 74C05 PDFBibTeX XMLCite \textit{H. Y. Shang} et al., Eur. J. Mech., A, Solids 73, 512--527 (2019; Zbl 1406.74645) Full Text: DOI
Li, H.; Duarte, C. A. A two-scale generalized finite element method for parallel simulations of spot welds in large structures. (English) Zbl 1440.74417 Comput. Methods Appl. Mech. Eng. 337, 28-65 (2018). MSC: 74S05 74F05 PDFBibTeX XMLCite \textit{H. Li} and \textit{C. A. Duarte}, Comput. Methods Appl. Mech. Eng. 337, 28--65 (2018; Zbl 1440.74417) Full Text: DOI
Malekan, Mohammad; Barros, Felício B. Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method. (English) Zbl 1459.74175 Comput. Mech. 62, No. 4, 783-801 (2018). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{M. Malekan} and \textit{F. B. Barros}, Comput. Mech. 62, No. 4, 783--801 (2018; Zbl 1459.74175) Full Text: DOI
Liu, H.; Ramière, I.; Lebon, F. On the coupling of local multilevel mesh refinement and ZZ methods for unilateral frictional contact problems in elastostatics. (English) Zbl 1439.74219 Comput. Methods Appl. Mech. Eng. 323, 1-26 (2017). MSC: 74M10 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{H. Liu} et al., Comput. Methods Appl. Mech. Eng. 323, 1--26 (2017; Zbl 1439.74219) Full Text: DOI HAL
Bouclier, Robin; Passieux, Jean-Charles; Salaün, Michel Development of a new, more regular, mortar method for the coupling of NURBS subdomains within a NURBS patch: application to a non-intrusive local enrichment of NURBS patches. (English) Zbl 1439.74498 Comput. Methods Appl. Mech. Eng. 316, 123-150 (2017). MSC: 74S99 65N55 65D07 74B05 PDFBibTeX XMLCite \textit{R. Bouclier} et al., Comput. Methods Appl. Mech. Eng. 316, 123--150 (2017; Zbl 1439.74498) Full Text: DOI Link
Shang, Hsu Yang; Machado, Roberto Dalledone; Abdalla Filho, João Elias; Arndt, Marcos Numerical analysis of plane stress free vibration in severely distorted mesh by generalized finite element method. (English) Zbl 1406.74646 Eur. J. Mech., A, Solids 62, 50-66 (2017). MSC: 74S05 74H45 65N30 PDFBibTeX XMLCite \textit{H. Y. Shang} et al., Eur. J. Mech., A, Solids 62, 50--66 (2017; Zbl 1406.74646) Full Text: DOI
Zhang, Shuhai; Oskay, Caglar Reduced order variational multiscale enrichment method for thermo-mechanical problems. (English) Zbl 1398.74430 Comput. Mech. 59, No. 6, 887-907 (2017). MSC: 74S05 74E30 74F05 76M10 65N30 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{C. Oskay}, Comput. Mech. 59, No. 6, 887--907 (2017; Zbl 1398.74430) Full Text: DOI
Ávila da Silva, Cláudio R. jun.; Santos, Rodrigo Villaca; Beck, André Teófilo Analytical bounds for efficient crack growth computation. (English) Zbl 1452.74098 Appl. Math. Modelling 40, No. 3, 2312-2321 (2016). MSC: 74R10 74B05 PDFBibTeX XMLCite \textit{C. R. Ávila da Silva jun.} et al., Appl. Math. Modelling 40, No. 3, 2312--2321 (2016; Zbl 1452.74098) Full Text: DOI
Zhang, Shuhai; Oskay, Caglar Reduced order variational multiscale enrichment method for elasto-viscoplastic problems. (English) Zbl 1425.74100 Comput. Methods Appl. Mech. Eng. 300, 199-224 (2016). MSC: 74C05 74S05 65N25 65N30 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{C. Oskay}, Comput. Methods Appl. Mech. Eng. 300, 199--224 (2016; Zbl 1425.74100) Full Text: DOI
Bouclier, Robin; Passieux, Jean-Charles; Salaün, Michel Local enrichment of NURBS patches using a non-intrusive coupling strategy: geometric details, local refinement, inclusion, fracture. (English) Zbl 1425.65149 Comput. Methods Appl. Mech. Eng. 300, 1-26 (2016). MSC: 65N30 65D07 74B05 74R10 PDFBibTeX XMLCite \textit{R. Bouclier} et al., Comput. Methods Appl. Mech. Eng. 300, 1--26 (2016; Zbl 1425.65149) Full Text: DOI Link
Malekan, Mohammad; Barros, Felicio Bruzzi Well-conditioning global-local analysis using stable generalized/extended finite element method for linear elastic fracture mechanics. (English) Zbl 1398.74367 Comput. Mech. 58, No. 5, 819-831 (2016). MSC: 74S05 65N30 74R10 74B05 65N12 PDFBibTeX XMLCite \textit{M. Malekan} and \textit{F. B. Barros}, Comput. Mech. 58, No. 5, 819--831 (2016; Zbl 1398.74367) Full Text: DOI
Duval, Mickaël; Passieux, Jean-Charles; Salaün, Michel; Guinard, Stéphane Non-intrusive coupling: recent advances and scalable nonlinear domain decomposition. (English) Zbl 1348.65175 Arch. Comput. Methods Eng. 23, No. 1, 17-38 (2016). MSC: 65N55 74S05 65N30 PDFBibTeX XMLCite \textit{M. Duval} et al., Arch. Comput. Methods Eng. 23, No. 1, 17--38 (2016; Zbl 1348.65175) Full Text: DOI Link
O’Hara, P.; Hollkamp, J.; Duarte, C. A.; Eason, T. A two-scale generalized finite element method for fatigue crack propagation simulations utilizing a fixed, coarse hexahedral mesh. (English) Zbl 1381.74204 Comput. Mech. 57, No. 1, 55-74 (2016). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{P. O'Hara} et al., Comput. Mech. 57, No. 1, 55--74 (2016; Zbl 1381.74204) Full Text: DOI
Cafiero, M.; Lloberas-Valls, O.; Cante, J.; Oliver, J. The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems. (English) Zbl 1382.65435 Comput. Mech. 57, No. 4, 555-581 (2016). MSC: 65N55 PDFBibTeX XMLCite \textit{M. Cafiero} et al., Comput. Mech. 57, No. 4, 555--581 (2016; Zbl 1382.65435) Full Text: DOI
Kim, Dae-Jin; Hong, Sung-Gul; Duarte, C. Armando Generalized finite element analysis using the preconditioned conjugate gradient method. (English) Zbl 1443.65350 Appl. Math. Modelling 39, No. 19, 5837-5848 (2015). MSC: 65N30 65N22 65N12 PDFBibTeX XMLCite \textit{D.-J. Kim} et al., Appl. Math. Modelling 39, No. 19, 5837--5848 (2015; Zbl 1443.65350) 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
Tian, Rong; Wen, Longfei Improved XFEM – an extra-DoF free, well-conditioning, and interpolating XFEM. (English) Zbl 1423.74926 Comput. Methods Appl. Mech. Eng. 285, 639-658 (2015). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{R. Tian} and \textit{L. Wen}, Comput. Methods Appl. Mech. Eng. 285, 639--658 (2015; Zbl 1423.74926) Full Text: DOI
Kim, J.; Duarte, C. A. A new generalized finite element method for two-scale simulations of propagating cohesive fractures in 3-D. (English) Zbl 1352.74286 Int. J. Numer. Methods Eng. 104, No. 13, 1139-1172 (2015). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{J. Kim} and \textit{C. A. Duarte}, Int. J. Numer. Methods Eng. 104, No. 13, 1139--1172 (2015; Zbl 1352.74286) Full Text: DOI
Plews, J. A.; Duarte, C. A. Generalized finite element approaches for analysis of localized thermo-structural effects. (English) Zbl 1352.74100 Int. J. Numer. Methods Eng. 104, No. 6, 408-438 (2015). MSC: 74F05 74S05 65N30 PDFBibTeX XMLCite \textit{J. A. Plews} and \textit{C. A. Duarte}, Int. J. Numer. Methods Eng. 104, No. 6, 408--438 (2015; Zbl 1352.74100) Full Text: DOI
Plews, J. A.; Duarte, C. A. Bridging multiple structural scales with a generalized finite element method. (English) Zbl 1352.74425 Int. J. Numer. Methods Eng. 102, No. 3-4, 180-201 (2015). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{J. A. Plews} and \textit{C. A. Duarte}, Int. J. Numer. Methods Eng. 102, No. 3--4, 180--201 (2015; Zbl 1352.74425) Full Text: DOI
Schweitzer, Marc Alexander; Wu, Sa Numerical integration of on-the-fly-computed enrichment functions in the PUM. (English) Zbl 1448.65175 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer. Lect. Notes Comput. Sci. Eng. 100, 247-267 (2015). MSC: 65M60 PDFBibTeX XMLCite \textit{M. A. Schweitzer} and \textit{S. Wu}, Lect. Notes Comput. Sci. Eng. 100, 247--267 (2015; Zbl 1448.65175) Full Text: DOI
Henning, Patrick; Morgenstern, Philipp; Peterseim, Daniel Multiscale partition of unity. (English) Zbl 1333.65130 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer (ISBN 978-3-319-06897-8/hbk; 978-3-319-06898-5/ebook). Lecture Notes in Computational Science and Engineering 100, 185-204 (2015). MSC: 65N30 35J25 65N55 35B27 PDFBibTeX XMLCite \textit{P. Henning} et al., Lect. Notes Comput. Sci. Eng. 100, 185--204 (2015; Zbl 1333.65130) Full Text: DOI arXiv
Yang, D. S.; Zhang, H. W.; Zhang, S.; Lu, M. K. A multiscale strategy for thermo-elastic plastic stress analysis of heterogeneous multiphase materials. (English) Zbl 1329.74050 Acta Mech. 226, No. 5, 1549-1569 (2015). MSC: 74C15 74F05 PDFBibTeX XMLCite \textit{D. S. Yang} et al., Acta Mech. 226, No. 5, 1549--1569 (2015; Zbl 1329.74050) Full Text: DOI
Zhang, Shuhai; Oskay, Caglar Variational multiscale enrichment method with mixed boundary conditions for elasto-viscoplastic problems. (English) Zbl 1334.74088 Comput. Mech. 55, No. 4, 771-787 (2015). MSC: 74S05 74D05 65M60 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{C. Oskay}, Comput. Mech. 55, No. 4, 771--787 (2015; Zbl 1334.74088) Full Text: DOI
Natarajan, Sundararajan; Song, Chongmin; Belouettar, Salim Numerical evaluation of stress intensity factors and T-stress for interfacial cracks and cracks terminating at the interface without asymptotic enrichment. (English) Zbl 1423.74364 Comput. Methods Appl. Mech. Eng. 279, 86-112 (2014). MSC: 74G70 74S05 74R10 PDFBibTeX XMLCite \textit{S. Natarajan} et al., Comput. Methods Appl. Mech. Eng. 279, 86--112 (2014; Zbl 1423.74364) Full Text: DOI arXiv
Garzon, J.; O’Hara, P.; Duarte, C. A.; Buttlar, W. G. Improvements of explicit crack surface representation and update within the generalized finite element method with application to three-dimensional crack coalescence. (English) Zbl 1352.74354 Int. J. Numer. Methods Eng. 97, No. 4, 231-273 (2014). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{J. Garzon} et al., Int. J. Numer. Methods Eng. 97, No. 4, 231--273 (2014; Zbl 1352.74354) Full Text: DOI
Mazzucato, Anna L.; Nistor, Victor; Qu, Qingqin Quasi-optimal rates of convergence for the generalized finite element method in polygonal domains. (English) Zbl 1295.65115 J. Comput. Appl. Math. 263, 466-477 (2014). MSC: 65N30 35J25 65N12 65N15 35R05 PDFBibTeX XMLCite \textit{A. L. Mazzucato} et al., J. Comput. Appl. Math. 263, 466--477 (2014; Zbl 1295.65115) Full Text: DOI
Mohamed, M. Shadi; Seaid, Mohammed; Trevelyan, Jon; Laghrouche, Omar A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions. (English) Zbl 1352.65361 Int. J. Numer. Methods Eng. 93, No. 3, 245-265 (2013). MSC: 65M60 PDFBibTeX XMLCite \textit{M. S. Mohamed} et al., Int. J. Numer. Methods Eng. 93, No. 3, 245--265 (2013; Zbl 1352.65361) Full Text: DOI Link
Rabczuk, Timon Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives. (English) Zbl 1298.74002 ISRN Appl. Math. 2013, Article ID 849231, 38 p. (2013). MSC: 74-02 74-04 74R05 74R10 PDFBibTeX XMLCite \textit{T. Rabczuk}, ISRN Appl. Math. 2013, Article ID 849231, 38 p. (2013; Zbl 1298.74002) Full Text: DOI
Tian, Rong Extra-dof-free and linearly independent enrichments in GFEM. (English) Zbl 1286.74110 Comput. Methods Appl. Mech. Eng. 266, 1-22 (2013). MSC: 74S05 74R10 65N30 74B05 PDFBibTeX XMLCite \textit{R. Tian}, Comput. Methods Appl. Mech. Eng. 266, 1--22 (2013; Zbl 1286.74110) Full Text: DOI
Oskay, Caglar Variational multiscale enrichment method with mixed boundary conditions for modeling diffusion and deformation problems. (English) Zbl 1286.74072 Comput. Methods Appl. Mech. Eng. 264, 178-190 (2013). MSC: 74N25 74S05 74F10 74F25 PDFBibTeX XMLCite \textit{C. Oskay}, Comput. Methods Appl. Mech. Eng. 264, 178--190 (2013; Zbl 1286.74072) Full Text: DOI
O’Hara, P.; Duarte, C. A.; Eason, T.; Garzon, J. Efficient analysis of transient heat transfer problems exhibiting sharp thermal gradients. (English) Zbl 1311.80018 Comput. Mech. 51, No. 5, 743-764 (2013). MSC: 80M10 65M60 80A20 PDFBibTeX XMLCite \textit{P. O'Hara} et al., Comput. Mech. 51, No. 5, 743--764 (2013; Zbl 1311.80018) Full Text: DOI
Gupta, Varun; Kim, Dae-Jin; Duarte, C. Armando Analysis and improvements of global-local enrichments for the generalized finite element method. (English) Zbl 1354.74275 Comput. Methods Appl. Mech. Eng. 245-246, 47-62 (2012). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{V. Gupta} et al., Comput. Methods Appl. Mech. Eng. 245--246, 47--62 (2012; Zbl 1354.74275) Full Text: DOI
Kim, D.-J.; Duarte, C. A.; Proenca, S. P. A generalized finite element method with global-local enrichment functions for confined plasticity problems. (English) Zbl 1312.74037 Comput. Mech. 50, No. 5, 563-578 (2012). MSC: 74S05 74C10 PDFBibTeX XMLCite \textit{D. J. Kim} et al., Comput. Mech. 50, No. 5, 563--578 (2012; Zbl 1312.74037) Full Text: DOI
Schweitzer, Marc Alexander Generalizations of the finite element method. (English) Zbl 1245.65159 Cent. Eur. J. Math. 10, No. 1, 3-24 (2012). MSC: 65N30 65N50 65N99 35J25 65N12 PDFBibTeX XMLCite \textit{M. A. Schweitzer}, Cent. Eur. J. Math. 10, No. 1, 3--24 (2012; Zbl 1245.65159) Full Text: DOI
Lloberas-Valls, O.; Rixen, D. J.; Simone, A.; Sluys, L. J. Multiscale domain decomposition analysis of quasi-brittle heterogeneous materials. (English) Zbl 1242.74138 Int. J. Numer. Methods Eng. 89, No. 11, 1337-1366 (2012). MSC: 74S05 74R10 74G70 74E05 PDFBibTeX XMLCite \textit{O. Lloberas-Valls} et al., Int. J. Numer. Methods Eng. 89, No. 11, 1337--1366 (2012; Zbl 1242.74138) Full Text: DOI
Pereira, J. P. A.; Kim, D.-J.; Duarte, C. A. A two-scale approach for the analysis of propagating three-dimensional fractures. (English) Zbl 1356.74187 Comput. Mech. 49, No. 1, 99-121 (2012). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{J. P. A. Pereira} et al., Comput. Mech. 49, No. 1, 99--121 (2012; Zbl 1356.74187) Full Text: DOI
Zamani, Arash; Eslami, M. Reza Embedded interfaces by polytope FEM. (English) Zbl 1242.74176 Int. J. Numer. Methods Eng. 88, No. 8, 715-748 (2011). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{A. Zamani} and \textit{M. R. Eslami}, Int. J. Numer. Methods Eng. 88, No. 8, 715--748 (2011; Zbl 1242.74176) Full Text: DOI
Legrain, G.; Cartraud, P.; Perreard, I.; Moës, N. An X-FEM and level set computational approach for image-based modelling: application to homogenization. (English) Zbl 1235.74297 Int. J. Numer. Methods Eng. 86, No. 7, 915-934 (2011). MSC: 74S05 74Q15 PDFBibTeX XMLCite \textit{G. Legrain} et al., Int. J. Numer. Methods Eng. 86, No. 7, 915--934 (2011; Zbl 1235.74297) Full Text: DOI HAL
Legrain, G.; Allais, R.; Cartraud, P. On the use of the extended finite element method with quadtree/octree meshes. (English) Zbl 1235.74296 Int. J. Numer. Methods Eng. 86, No. 6, 717-743 (2011). MSC: 74S05 PDFBibTeX XMLCite \textit{G. Legrain} et al., Int. J. Numer. Methods Eng. 86, No. 6, 717--743 (2011; Zbl 1235.74296) Full Text: DOI
O’Hara, P.; Duarte, C. A.; Eason, T. Transient analysis of sharp thermal gradients using coarse finite element meshes. (English) Zbl 1225.80011 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 812-829 (2011). MSC: 80M10 80A20 PDFBibTeX XMLCite \textit{P. O'Hara} et al., Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 812--829 (2011; Zbl 1225.80011) Full Text: DOI
Mousavi, S. E.; Grinspun, E.; Sukumar, N. Harmonic enrichment functions: a unified treatment of multiple, intersecting and branched cracks in the extended finite element method. (English) Zbl 1217.74130 Int. J. Numer. Methods Eng. 85, No. 10, 1306-1322 (2011). MSC: 74S05 74R10 74G70 PDFBibTeX XMLCite \textit{S. E. Mousavi} et al., Int. J. Numer. Methods Eng. 85, No. 10, 1306--1322 (2011; Zbl 1217.74130) Full Text: DOI Link
Schweitzer, Marc Alexander Multilevel particle-partition of unity method. (English) Zbl 1218.65132 Numer. Math. 118, No. 2, 307-328 (2011). MSC: 65N30 35J25 65N12 65N55 74B05 74R10 74S05 PDFBibTeX XMLCite \textit{M. A. Schweitzer}, Numer. Math. 118, No. 2, 307--328 (2011; Zbl 1218.65132) Full Text: DOI
Turner, D. Z.; Nakshatrala, K. B.; Hjelmstad, K. D. A stabilized formulation for the advection-diffusion equation using the generalized finite element method. (English) Zbl 1429.35178 Int. J. Numer. Methods Fluids 66, No. 1, 64-81 (2011). MSC: 35Q35 65M60 76M10 PDFBibTeX XMLCite \textit{D. Z. Turner} et al., Int. J. Numer. Methods Fluids 66, No. 1, 64--81 (2011; Zbl 1429.35178) Full Text: DOI
Alfaiate, J.; Moonen, P.; Sluys, L. J.; Carmeliet, J. On the use of strong discontinuity formulations for the modeling of preferential moisture uptake in fractured porous media. (English) Zbl 1231.76303 Comput. Methods Appl. Mech. Eng. 199, No. 45-48, 2828-2839 (2010). MSC: 76S05 74F10 74R99 PDFBibTeX XMLCite \textit{J. Alfaiate} et al., Comput. Methods Appl. Mech. Eng. 199, No. 45--48, 2828--2839 (2010; Zbl 1231.76303) Full Text: DOI
Kim, D.-J.; Pereira, J. P.; Duarte, C. A. Analysis of three-dimensional fracture mechanics problems: a two-scale approach using coarse-generalized FEM meshes. (English) Zbl 1183.74285 Int. J. Numer. Methods Eng. 81, No. 3, 335-365 (2010). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{D. J. Kim} et al., Int. J. Numer. Methods Eng. 81, No. 3, 335--365 (2010; Zbl 1183.74285) Full Text: DOI
O’Hara, P.; Duarte, C. A.; Eason, T. Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients. (English) Zbl 1227.80050 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1857-1871 (2009). MSC: 80M10 80A20 PDFBibTeX XMLCite \textit{P. O'Hara} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1857--1871 (2009; Zbl 1227.80050) Full Text: DOI
Aquino, W.; Brigham, J. C.; Earls, C. J.; Sukumar, N. Generalized finite element method using proper orthogonal decomposition. (English) Zbl 1171.76416 Int. J. Numer. Methods Eng. 79, No. 7, 887-906 (2009). MSC: 76M10 76Q05 65N30 PDFBibTeX XMLCite \textit{W. Aquino} et al., Int. J. Numer. Methods Eng. 79, No. 7, 887--906 (2009; Zbl 1171.76416) Full Text: DOI
Gu, Yuantong T.; Yarlagadda, Prasad K. D. V. A bridging transition technique for the combination of meshfree method with finite element method in 2D solids and structures. (English) Zbl 1162.74499 Comput. Mech. 44, No. 1, 119-131 (2009). MSC: 74S30 74S05 PDFBibTeX XMLCite \textit{Y. T. Gu} and \textit{P. K. D. V. Yarlagadda}, Comput. Mech. 44, No. 1, 119--131 (2009; Zbl 1162.74499) Full Text: DOI Link
Schweitzer, Marc Alexander An adaptive \(hp\)-version of the multilevel particle-partition of unity method. (English) Zbl 1157.65494 Comput. Methods Appl. Mech. Eng. 198, No. 13-14, 1260-1272 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{M. A. Schweitzer}, Comput. Methods Appl. Mech. Eng. 198, No. 13--14, 1260--1272 (2009; Zbl 1157.65494) Full Text: DOI