Selvaraj, Jagan; Hallett, Stephen R. Adaptive and variable model order reduction method for fracture modelling using explicit time integration. (English) Zbl 07822152 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116506, 19 p. (2024). MSC: 74-XX 86-XX PDFBibTeX XMLCite \textit{J. Selvaraj} and \textit{S. R. Hallett}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116506, 19 p. (2024; Zbl 07822152) Full Text: DOI
Cicci, Ludovica; Fresca, Stefania; Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. (English) Zbl 07817661 Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023). MSC: 92C10 35Q92 65M60 PDFBibTeX XMLCite \textit{L. Cicci} et al., Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023; Zbl 07817661) Full Text: DOI
Cicci, Ludovica; Fresca, Stefania; Guo, Mengwu; Manzoni, Andrea; Zunino, Paolo Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. (English) Zbl 07750303 Comput. Math. Appl. 149, 1-23 (2023). MSC: 65M60 65N30 68T05 68T07 65M99 PDFBibTeX XMLCite \textit{L. Cicci} et al., Comput. Math. Appl. 149, 1--23 (2023; Zbl 07750303) Full Text: DOI arXiv
Maia, M. A.; Rocha, I. B. C. M.; Kerfriden, P.; van der Meer, F. P. Physically recurrent neural networks for path-dependent heterogeneous materials: embedding constitutive models in a data-driven surrogate. (English) Zbl 07665591 Comput. Methods Appl. Mech. Eng. 407, Article ID 115934, 35 p. (2023). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{M. A. Maia} et al., Comput. Methods Appl. Mech. Eng. 407, Article ID 115934, 35 p. (2023; Zbl 07665591) Full Text: DOI arXiv
Torlo, Davide; Ricchiuto, Mario Model order reduction strategies for weakly dispersive waves. (English) Zbl 07628030 Math. Comput. Simul. 205, 997-1028 (2023). MSC: 35-XX 76-XX PDFBibTeX XMLCite \textit{D. Torlo} and \textit{M. Ricchiuto}, Math. Comput. Simul. 205, 997--1028 (2023; Zbl 07628030) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Manzoni, Andrea Deep-HyROMnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs. (English) Zbl 1503.65225 J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022). MSC: 65M60 65M99 68T07 68Q32 65K10 65D05 PDFBibTeX XMLCite \textit{L. Cicci} et al., J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022; Zbl 1503.65225) Full Text: DOI arXiv
Arjoune, Tahar; Markert, Bernd; Bamer, Franz Non-incremental response evaluation in geometrically nonlinear structural dynamics using a space-time stiffness operator. (English) Zbl 1500.74060 Comput. Mech. 70, No. 2, 309-333 (2022). MSC: 74S99 74K99 74H15 PDFBibTeX XMLCite \textit{T. Arjoune} et al., Comput. Mech. 70, No. 2, 309--333 (2022; Zbl 1500.74060) Full Text: DOI
Bai, Feng; Wang, Yi A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation. (English) Zbl 07538452 Math. Comput. Simul. 199, 100-132 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{F. Bai} and \textit{Y. Wang}, Math. Comput. Simul. 199, 100--132 (2022; Zbl 07538452) Full Text: DOI
Ahn, Jun-Geol; Yang, Hyun-Ik; Kim, Jin-Gyun Multi-fidelity meta modeling using composite neural network with online adaptive basis technique. (English) Zbl 1507.65026 Comput. Methods Appl. Mech. Eng. 388, Article ID 114258, 34 p. (2022). MSC: 65C30 68T07 PDFBibTeX XMLCite \textit{J.-G. Ahn} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114258, 34 p. (2022; Zbl 1507.65026) Full Text: DOI
Rocha, I. B. C. M.; Kerfriden, P.; van der Meer, F. P. On-the-fly construction of surrogate constitutive models for concurrent multiscale mechanical analysis through probabilistic machine learning. (English) Zbl 07785548 J. Comput. Phys.: X 9, Article ID 100083, 27 p. (2021). MSC: 74Sxx 74Exx 74Qxx PDFBibTeX XMLCite \textit{I. B. C. M. Rocha} et al., J. Comput. Phys.: X 9, Article ID 100083, 27 p. (2021; Zbl 07785548) Full Text: DOI arXiv
Ghattas, Omar; Willcox, Karen Learning physics-based models from data: perspectives from inverse problems and model reduction. (English) Zbl 1520.65043 Acta Numerica 30, 445-554 (2021). MSC: 65K10 65L09 65M32 62F15 86A04 PDFBibTeX XMLCite \textit{O. Ghattas} and \textit{K. Willcox}, Acta Numerica 30, 445--554 (2021; Zbl 1520.65043) Full Text: DOI
Zucatti, Victor; Wolf, William; Bergmann, Michel Calibration of projection-based reduced-order models for unsteady compressible flows. (English) Zbl 1515.76134 J. Comput. Phys. 433, Article ID 110196, 28 p. (2021). MSC: 76N99 76M99 65M60 PDFBibTeX XMLCite \textit{V. Zucatti} et al., J. Comput. Phys. 433, Article ID 110196, 28 p. (2021; Zbl 1515.76134) Full Text: DOI arXiv
Nguyen, Minh Ngoc; Nguyen, Nha Thanh; Truong, Thien Tich; Bui, Tinh Quoc An efficient reduced basis approach using enhanced meshfree and combined approximation for large deformation. (English) Zbl 1521.74240 Eng. Anal. Bound. Elem. 133, 319-329 (2021). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{M. N. Nguyen} et al., Eng. Anal. Bound. Elem. 133, 319--329 (2021; Zbl 1521.74240) Full Text: DOI
Guo, Theron; Rokoš, Ondřej; Veroy, Karen Learning constitutive models from microstructural simulations via a non-intrusive reduced basis method. (English) Zbl 1506.74234 Comput. Methods Appl. Mech. Eng. 384, Article ID 113924, 23 p. (2021). MSC: 74M25 74-10 PDFBibTeX XMLCite \textit{T. Guo} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113924, 23 p. (2021; Zbl 1506.74234) Full Text: DOI arXiv
Lee, Jonggeon; Lee, Jaehun; Cho, Haeseong; Kim, Euiyoung; Cho, Maenghyo Reduced-order modeling of nonlinear structural dynamical systems via element-wise stiffness evaluation procedure combined with hyper-reduction. (English) Zbl 07360516 Comput. Mech. 67, No. 2, 523-540 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{J. Lee} et al., Comput. Mech. 67, No. 2, 523--540 (2021; Zbl 07360516) Full Text: DOI
Cho, Haeseong; Shin, Sangjoon; Kim, Haedong; Cho, Maenghyo Enhanced model-order reduction approach via online adaptation for parametrized nonlinear structural problems. (English) Zbl 1490.74121 Comput. Mech. 65, No. 2, 331-353 (2020). MSC: 74S99 74S05 74K99 PDFBibTeX XMLCite \textit{H. Cho} et al., Comput. Mech. 65, No. 2, 331--353 (2020; Zbl 1490.74121) Full Text: DOI
Chaturantabut, Saifon Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework. (English) Zbl 1461.93057 Int. J. Appl. Math. Comput. Sci. 30, No. 4, 615-628 (2020). MSC: 93B11 93C15 93C20 93C10 PDFBibTeX XMLCite \textit{S. Chaturantabut}, Int. J. Appl. Math. Comput. Sci. 30, No. 4, 615--628 (2020; Zbl 1461.93057) Full Text: DOI
Kastian, Steffen; Moser, Dieter; Grasedyck, Lars; Reese, Stefanie A two-stage surrogate model for neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation. (English) Zbl 1506.65067 Comput. Methods Appl. Mech. Eng. 372, Article ID 113368, 28 p. (2020). MSC: 65F99 74C05 PDFBibTeX XMLCite \textit{S. Kastian} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113368, 28 p. (2020; Zbl 1506.65067) Full Text: DOI
Sukuntee, Norapon; Chaturantabut, Saifon Parametric nonlinear model reduction using \(K\)-means clustering for miscible flow simulation. (English) Zbl 1499.76077 J. Appl. Math. 2020, Article ID 3904606, 12 p. (2020). MSC: 76M20 76M22 76S05 PDFBibTeX XMLCite \textit{N. Sukuntee} and \textit{S. Chaturantabut}, J. Appl. Math. 2020, Article ID 3904606, 12 p. (2020; Zbl 1499.76077) Full Text: DOI
Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. (English) Zbl 1453.65287 SIAM J. Sci. Comput. 42, No. 5, A2837-A2864 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65F25 65M99 65D05 PDFBibTeX XMLCite \textit{B. Peherstorfer} et al., SIAM J. Sci. Comput. 42, No. 5, A2837--A2864 (2020; Zbl 1453.65287) Full Text: DOI arXiv
Rocha, I. B. C. M.; Kerfriden, P.; van der Meer, F. P. Micromechanics-based surrogate models for the response of composites: a critical comparison between a classical mesoscale constitutive model, hyper-reduction and neural networks. (English) Zbl 1477.74020 Eur. J. Mech., A, Solids 82, Article ID 103995, 15 p. (2020). MSC: 74E30 74S99 74C99 PDFBibTeX XMLCite \textit{I. B. C. M. Rocha} et al., Eur. J. Mech., A, Solids 82, Article ID 103995, 15 p. (2020; Zbl 1477.74020) Full Text: DOI
Hou, Yunsen; Liu, Cheng; Hu, Haiyan Component-level proper orthogonal decomposition for flexible multibody systems. (English) Zbl 1442.70005 Comput. Methods Appl. Mech. Eng. 361, Article ID 112690, 25 p. (2020). MSC: 70E55 65L60 70-08 PDFBibTeX XMLCite \textit{Y. Hou} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112690, 25 p. (2020; Zbl 1442.70005) Full Text: DOI
Pivovarov, Dmytro; Steinmann, Paul; Willner, Kai Acceleration of the spectral stochastic FEM using POD and element based discrete empirical approximation for a micromechanical model of heterogeneous materials with random geometry. (English) Zbl 1441.74270 Comput. Methods Appl. Mech. Eng. 360, Article ID 112689, 25 p. (2020). MSC: 74S05 65N30 74A40 74M25 PDFBibTeX XMLCite \textit{D. Pivovarov} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112689, 25 p. (2020; Zbl 1441.74270) Full Text: DOI
Rocha, I. B. C. M.; van der Meer, F. P.; Sluys, L. J. An adaptive domain-based POD/ECM hyper-reduced modeling framework without offline training. (English) Zbl 1441.65118 Comput. Methods Appl. Mech. Eng. 358, Article ID 112650, 28 p. (2020). MSC: 65N55 PDFBibTeX XMLCite \textit{I. B. C. M. Rocha} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112650, 28 p. (2020; Zbl 1441.65118) Full Text: DOI
Pivovarov, Dmytro; Willner, Kai; Steinmann, Paul; Brumme, Stephan; Müller, Michael; Srisupattarawanit, Tarin; Ostermeyer, Georg-Peter; Henning, Carla; Ricken, Tim; Kastian, Steffen; Reese, Stefanie; Moser, Dieter; Grasedyck, Lars; Biehler, Jonas; Pfaller, Martin; Wall, Wolfgang; Kohlsche, Thomas; von Estorff, Otto; Gruhlke, Robert; Eigel, Martin; Ehre, Max; Papaioannou, Iason; Straub, Daniel; Leyendecker, Sigrid Challenges of order reduction techniques for problems involving polymorphic uncertainty. (English) Zbl 07777958 GAMM-Mitt. 42, No. 2, Article ID e201900011, 24 p. (2019). MSC: 62Kxx 62-XX 62Jxx PDFBibTeX XMLCite \textit{D. Pivovarov} et al., GAMM-Mitt. 42, No. 2, Article ID e201900011, 24 p. (2019; Zbl 07777958) Full Text: DOI
Sukuntee, Norapon; Chaturantabut, Saifon Model order reduction for sine-Gordon equation using POD and DEIM. (English) Zbl 1463.65212 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2018, 222-256 (2019). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{N. Sukuntee} and \textit{S. Chaturantabut}, Thai J. Math., 222--256 (2019; Zbl 1463.65212) Full Text: Link
Ghavamian, F.; Simone, A. Accelerating multiscale finite element simulations of history-dependent materials using a recurrent neural network. (English) Zbl 1442.65142 Comput. Methods Appl. Mech. Eng. 357, Article ID 112594, 23 p. (2019). MSC: 65L60 74C10 PDFBibTeX XMLCite \textit{F. Ghavamian} and \textit{A. Simone}, Comput. Methods Appl. Mech. Eng. 357, Article ID 112594, 23 p. (2019; Zbl 1442.65142) Full Text: DOI Link
Rocha, I. B. C. M.; van der Meer, F. P.; Sluys, L. J. Efficient micromechanical analysis of fiber-reinforced composites subjected to cyclic loading through time homogenization and reduced-order modeling. (English) Zbl 1440.74259 Comput. Methods Appl. Mech. Eng. 345, 644-670 (2019). MSC: 74M25 74S05 74E30 PDFBibTeX XMLCite \textit{I. B. C. M. Rocha} et al., Comput. Methods Appl. Mech. Eng. 345, 644--670 (2019; Zbl 1440.74259) Full Text: DOI