Xia, Damin; Oskay, Caglar Proper orthogonal decomposition assisted eigendeformation-based mathematical homogenization method for modeling cracks in 3D polycrystalline microstructures. (English) Zbl 07822154 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116508, 24 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{D. Xia} and \textit{C. Oskay}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116508, 24 p. (2024; Zbl 07822154) Full Text: DOI
Guo, Theron; Rokoš, Ondřej; Veroy, Karen A reduced order model for geometrically parameterized two-scale simulations of elasto-plastic microstructures under large deformations. (English) Zbl 07822119 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116467, 18 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. Guo} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116467, 18 p. (2024; Zbl 07822119) Full Text: DOI arXiv
Ballarin, Francesco; Lee, Sanghyun; Yi, Son-Young Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity. (English) Zbl 07820991 Results Appl. Math. 21, Article ID 100430, 26 p. (2024). MSC: 74Fxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Ballarin} et al., Results Appl. Math. 21, Article ID 100430, 26 p. (2024; Zbl 07820991) Full Text: DOI arXiv
Ruan, Hongshi; Ju, Xiaozhe; Chen, Junjun; Liang, Lihua; Xu, Yangjian A clustering-enhanced potential-based reduced order homogenization framework for nonlinear heterogeneous materials. (English) Zbl 07782765 Eur. J. Mech., A, Solids 103, Article ID 105190, 12 p. (2024). MSC: 74Q05 74E05 74B20 74S99 PDFBibTeX XMLCite \textit{H. Ruan} et al., Eur. J. Mech., A, Solids 103, Article ID 105190, 12 p. (2024; Zbl 07782765) Full Text: DOI
Palakurthy, Seshendra; Zope, Anup; Yan, Yonghua; Collins, Eric; Bhushan, Shanti Numerical study of the effect of micro vortices on chaotic flutter. (English) Zbl 1525.74102 J. Comput. Appl. Math. 436, Article ID 115401, 19 p. (2024). MSC: 74H60 74H55 74F10 74S10 76J20 PDFBibTeX XMLCite \textit{S. Palakurthy} et al., J. Comput. Appl. Math. 436, Article ID 115401, 19 p. (2024; Zbl 1525.74102) Full Text: DOI
de Castro, Amy; Bochev, Pavel; Kuberry, Paul; Tezaur, Irina Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. (English) Zbl 07788107 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116398, 36 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{A. de Castro} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116398, 36 p. (2023; Zbl 07788107) Full Text: DOI arXiv
Prusak, Ivan; Nonino, Monica; Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations. (English) Zbl 07783934 Comput. Math. Appl. 151, 172-189 (2023). MSC: 76M10 65N30 76D05 74F10 65M60 PDFBibTeX XMLCite \textit{I. Prusak} et al., Comput. Math. Appl. 151, 172--189 (2023; Zbl 07783934) Full Text: DOI arXiv
Chasapi, Margarita; Antolin, Pablo; Buffa, Annalisa A localized reduced basis approach for unfitted domain methods on parameterized geometries. (English) Zbl 07737575 Comput. Methods Appl. Mech. Eng. 410, Article ID 115997, 29 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{M. Chasapi} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 115997, 29 p. (2023; Zbl 07737575) Full Text: DOI arXiv
Jamnongpipatkul, A.; Sevenois, R. D. B.; Desmet, W.; Naets, F.; Gilabert, F. A. POD-based reduced order model for the prediction of global and local elastic responses of fibre-reinforced polymer considering varying fibre distribution. (English) Zbl 1519.74068 Comput. Mech. 71, No. 5, 1041-1064 (2023). MSC: 74S05 74E30 74M25 74Q99 PDFBibTeX XMLCite \textit{A. Jamnongpipatkul} et al., Comput. Mech. 71, No. 5, 1041--1064 (2023; Zbl 1519.74068) Full Text: DOI
Dupont, Claire; De Vuyst, Florian; Salsac, Anne-Virginie Data-driven kinematics-consistent model-order reduction of fluid-structure interaction problems: application to deformable microcapsules in a Stokes flow. (English) Zbl 07644350 J. Fluid Mech. 955, Paper No. A2, 34 p. (2023). MSC: 76M99 76D07 74F10 PDFBibTeX XMLCite \textit{C. Dupont} et al., J. Fluid Mech. 955, Paper No. A2, 34 p. (2023; Zbl 07644350) Full Text: DOI arXiv
Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. (English) Zbl 1505.76059 J. Sci. Comput. 94, No. 1, Paper No. 4, 41 p. (2023). MSC: 76M10 76M20 76D05 74F10 PDFBibTeX XMLCite \textit{M. Nonino} et al., J. Sci. Comput. 94, No. 1, Paper No. 4, 41 p. (2023; Zbl 1505.76059) Full Text: DOI
Ekre, Fredrik; Jänicke, Ralf; Larsson, Fredrik; Runesson, Kenneth Efficient two-scale modeling of porous media using numerical model reduction with fully computable error bounds. (English) Zbl 1512.74023 Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 121-129 (2022). MSC: 74F10 74S99 PDFBibTeX XMLCite \textit{F. Ekre} et al., in: Current trends and open problems in computational mechanics. Cham: Springer. 121--129 (2022; Zbl 1512.74023) Full Text: DOI
Chen, Dongqin; Li, Qiuqi; Song, Huailing Error analysis of a stable reduced order model based on the proper orthogonal decomposition method for the Allen-Cahn-Navier-Stokes system. (English) Zbl 1507.74458 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115661, 30 p. (2022). MSC: 74S05 65M15 35M30 65M60 PDFBibTeX XMLCite \textit{D. Chen} et al., Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115661, 30 p. (2022; Zbl 1507.74458) Full Text: DOI
Guo, Theron; Silva, Francesco A. B.; Rokoš, Ondřej; Veroy, Karen Learning constitutive models from microstructural simulations via a non-intrusive reduced basis method: extension to geometrical parameterizations. (English) Zbl 1507.74006 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115636, 23 p. (2022). MSC: 74-10 74M25 74Q15 PDFBibTeX XMLCite \textit{T. Guo} et al., Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115636, 23 p. (2022; Zbl 1507.74006) Full Text: DOI arXiv
Friderikos, Orestis; Baranger, Emmanuel; Olive, Marc; Neron, David On the stability of POD basis interpolation on Grassmann manifolds for parametric model order reduction. (English) Zbl 1495.74074 Comput. Mech. 70, No. 1, 181-204 (2022). MSC: 74S99 74S05 74B20 PDFBibTeX XMLCite \textit{O. Friderikos} et al., Comput. Mech. 70, No. 1, 181--204 (2022; Zbl 1495.74074) Full Text: DOI arXiv
Gupta, Rachit; Jaiman, Rajeev A hybrid partitioned deep learning methodology for moving interface and fluid-structure interaction. (English) Zbl 1521.76088 Comput. Fluids 233, Article ID 105239, 24 p. (2022). MSC: 76D05 74F10 PDFBibTeX XMLCite \textit{R. Gupta} and \textit{R. Jaiman}, Comput. Fluids 233, Article ID 105239, 24 p. (2022; Zbl 1521.76088) Full Text: DOI arXiv
Nguyen, Minh-Nhan; Kim, Hyun-Gyu An efficient PODI method for real-time simulation of indenter contact problems using RBF interpolation and contact domain decomposition. (English) Zbl 1507.74499 Comput. Methods Appl. Mech. Eng. 388, Article ID 114215, 23 p. (2022). MSC: 74S05 65N55 65N30 74M15 PDFBibTeX XMLCite \textit{M.-N. Nguyen} and \textit{H.-G. Kim}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114215, 23 p. (2022; Zbl 1507.74499) Full Text: DOI
Li, Yuwei; Tian, Kuo; Hao, Peng; Wang, Bo Optimization design for vibration reduction of complex configuration structures via global reduced-order basis. (English) Zbl 1523.74049 Eng. Optim. 53, No. 10, 1819-1833 (2021). MSC: 74H45 90C90 PDFBibTeX XMLCite \textit{Y. Li} et al., Eng. Optim. 53, No. 10, 1819--1833 (2021; Zbl 1523.74049) Full Text: DOI
Oulghelou, M.; Allery, C. Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold. (English) Zbl 07510048 J. Comput. Phys. 426, Article ID 109924, 16 p. (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{M. Oulghelou} and \textit{C. Allery}, J. Comput. Phys. 426, Article ID 109924, 16 p. (2021; Zbl 07510048) Full Text: DOI arXiv
Liu, Xiaofei; Wang, Hu; Yu, Xiaolong; Wang, Chengjing A Krylov-based proper orthogonal decomposition method for elastodynamics problems with isogeometric analysis. (English) Zbl 1521.74394 Eng. Anal. Bound. Elem. 133, 71-83 (2021). MSC: 74S22 65M22 65F25 74-10 PDFBibTeX XMLCite \textit{X. Liu} et al., Eng. Anal. Bound. Elem. 133, 71--83 (2021; Zbl 1521.74394) Full Text: DOI
Zhang, Qi; Ming, Pingjian; Zhang, Wenping Modal decomposition methods for distributed excitation force field on tube bundle in cross flow. (English) Zbl 1494.76045 Eur. J. Mech., B, Fluids 86, 57-66 (2021). MSC: 76F10 76M99 74F10 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Eur. J. Mech., B, Fluids 86, 57--66 (2021; Zbl 1494.76045) Full Text: DOI
Friderikos, Orestis; Olive, Marc; Baranger, Emmanuel; Sagris, Dimitris; David, Constantine A non-intrusive space-time interpolation from compact Stiefel manifolds of parametrized rigid-viscoplastic FEM problems. (English) Zbl 1478.74080 Comput. Mech. 68, No. 4, 861-883 (2021). MSC: 74S05 74C10 53Z05 PDFBibTeX XMLCite \textit{O. Friderikos} et al., Comput. Mech. 68, No. 4, 861--883 (2021; Zbl 1478.74080) Full Text: DOI arXiv
Balla, Kensley; Sevilla, Ruben; Hassan, Oubay; Morgan, Kenneth An application of neural networks to the prediction of aerodynamic coefficients of aerofoils and wings. (English) Zbl 1481.74148 Appl. Math. Modelling 96, 456-479 (2021). MSC: 74F10 68T07 76G25 PDFBibTeX XMLCite \textit{K. Balla} et al., Appl. Math. Modelling 96, 456--479 (2021; Zbl 1481.74148) Full Text: DOI
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng Isogeometric analysis with proper orthogonal decomposition for elastodynamics. (English) Zbl 1528.65076 Commun. Comput. Phys. 30, No. 2, 396-422 (2021). MSC: 65M60 65M06 65N30 65M99 65M12 65M15 35P10 35K20 74B10 74H45 74S22 35Q74 PDFBibTeX XMLCite \textit{R. Li} et al., Commun. Comput. Phys. 30, No. 2, 396--422 (2021; Zbl 1528.65076) Full Text: DOI
Im, Sunyoung; Lee, Jonggeon; Cho, Maenghyo Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition. (English) Zbl 1502.74017 Comput. Methods Appl. Mech. Eng. 385, Article ID 114030, 43 p. (2021). MSC: 74C05 65N30 PDFBibTeX XMLCite \textit{S. Im} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114030, 43 p. (2021; Zbl 1502.74017) 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
Liang, Yu; Gao, Xiao-Wei; Xu, Bing-Bing; Cui, Miao; Zheng, Bao-Jing A reduced-order modelling for real-time identification of damages in multi-layered composite materials. (English) Zbl 1470.65160 Inverse Probl. Sci. Eng. 29, No. 1, 73-94 (2021). MSC: 65M32 35Q74 47N40 74E30 PDFBibTeX XMLCite \textit{Y. Liang} et al., Inverse Probl. Sci. Eng. 29, No. 1, 73--94 (2021; Zbl 1470.65160) Full Text: DOI
Alsayyari, Fahad; Perkó, Zoltán; Tiberga, Marco; Kloosterman, Jan Leen; Lathouwers, Danny A fully adaptive nonintrusive reduced-order modelling approach for parametrized time-dependent problems. (English) Zbl 1506.74384 Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{F. Alsayyari} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021; Zbl 1506.74384) Full Text: DOI
Nakazawa, Takashi Shape optimization of flow fields considering proper orthogonal decomposition. (English) Zbl 1505.74205 Itou, Hiromichi (ed.) et al., Mathematical analysis of continuum mechanics and industrial applications III. Proceedings of the international conference, CoMFoS18, Kyoto, Japan, June 13–15, 2018. Singapore: Springer. Math. Ind. (Tokyo) 34, 125-145 (2020). MSC: 74S25 PDFBibTeX XMLCite \textit{T. Nakazawa}, Math. Ind. (Tokyo) 34, 125--145 (2020; Zbl 1505.74205) Full Text: DOI
Lu, Hannah; Tartakovsky, Daniel M. Lagrangian dynamic mode decomposition for construction of reduced-order models of advection-dominated phenomena. (English) Zbl 07504703 J. Comput. Phys. 407, Article ID 109229, 17 p. (2020). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{H. Lu} and \textit{D. M. Tartakovsky}, J. Comput. Phys. 407, Article ID 109229, 17 p. (2020; Zbl 07504703) Full Text: DOI arXiv
Jiang, Genghui; Liu, Huayu; Yang, Kai; Gao, Xiaowei A fast reduced-order model for radial integral boundary element method based on proper orthogonal decomposition in nonlinear transient heat conduction problems. (English) Zbl 1506.74012 Comput. Methods Appl. Mech. Eng. 368, Article ID 113190, 15 p. (2020). MSC: 74A15 PDFBibTeX XMLCite \textit{G. Jiang} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113190, 15 p. (2020; Zbl 1506.74012) Full Text: DOI
Luo, Zhendong; Jin, Shiju A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. (English) Zbl 1457.65146 Numer. Methods Partial Differ. Equations 36, No. 1, 49-65 (2020). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65M70 65M06 65M12 65M99 74S25 74D10 76M22 76A10 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{S. Jin}, Numer. Methods Partial Differ. Equations 36, No. 1, 49--65 (2020; Zbl 1457.65146) Full Text: DOI
Huang, Dengpeng; Fuhg, Jan Niklas; Weißenfels, Christian; Wriggers, Peter A machine learning based plasticity model using proper orthogonal decomposition. (English) Zbl 1442.74042 Comput. Methods Appl. Mech. Eng. 365, Article ID 113008, 25 p. (2020). MSC: 74C05 74S05 74B20 PDFBibTeX XMLCite \textit{D. Huang} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113008, 25 p. (2020; Zbl 1442.74042) Full Text: DOI arXiv
Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. (English) Zbl 1441.74301 Comput. Methods Appl. Mech. Eng. 359, Article ID 112753, 25 p. (2020). MSC: 74S99 65N55 74E30 PDFBibTeX XMLCite \textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112753, 25 p. (2020; Zbl 1441.74301) Full Text: DOI
Kastian, Steffen; Reese, Stefanie An adaptive way of choosing significant snapshots for proper orthogonal decomposition. (English) Zbl 1425.74471 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 67-79 (2020). MSC: 74S05 65M60 65K10 74P10 PDFBibTeX XMLCite \textit{S. Kastian} and \textit{S. Reese}, IUTAM Bookser. 36, 67--79 (2020; Zbl 1425.74471) Full Text: DOI
Ferro, Nicola; Micheletti, Stefano; Perotto, Simona POD-assisted strategies for structural topology optimization. (English) Zbl 1442.65366 Comput. Math. Appl. 77, No. 10, 2804-2820 (2019). MSC: 65N30 74P15 PDFBibTeX XMLCite \textit{N. Ferro} et al., Comput. Math. Appl. 77, No. 10, 2804--2820 (2019; Zbl 1442.65366) Full Text: DOI Link
Ding, Chensen; Deokar, Rohit R.; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. (English) Zbl 1441.74295 Comput. Methods Appl. Mech. Eng. 349, 266-284 (2019). MSC: 74S60 65C05 65M75 PDFBibTeX XMLCite \textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 349, 266--284 (2019; Zbl 1441.74295) Full Text: DOI
Ri, Jun-Hyok; Hong, Hyon-Sik A basis reduction method using proper orthogonal decomposition for shakedown analysis of kinematic hardening material. (English) Zbl 1467.74016 Comput. Mech. 64, No. 1, 1-13 (2019). MSC: 74C05 74S99 PDFBibTeX XMLCite \textit{J.-H. Ri} and \textit{H.-S. Hong}, Comput. Mech. 64, No. 1, 1--13 (2019; Zbl 1467.74016) Full Text: DOI
Ding, Chensen; Deokar, Rohit R.; Cui, Xiangyang; Li, Guangyao; Cai, Yong; Tamma, Kumar K. Proper orthogonal decomposition and Monte Carlo based isogeometric stochastic method for material, geometric and force multi-dimensional uncertainties. (English) Zbl 1469.74120 Comput. Mech. 63, No. 3, 521-533 (2019). MSC: 74S60 74S22 74E35 PDFBibTeX XMLCite \textit{C. Ding} et al., Comput. Mech. 63, No. 3, 521--533 (2019; Zbl 1469.74120) Full Text: DOI
Rama, Ritesh R.; Skatulla, Sebastian Towards real-time cardiac mechanics modelling with patient-specific heart anatomies. (English) Zbl 1439.74211 Comput. Methods Appl. Mech. Eng. 328, 47-74 (2018). MSC: 74L15 92C30 PDFBibTeX XMLCite \textit{R. R. Rama} and \textit{S. Skatulla}, Comput. Methods Appl. Mech. Eng. 328, 47--74 (2018; Zbl 1439.74211) Full Text: DOI
Cao, Yanhua; Zhang, Jingjing The study about reduced numerical model of proper orthogonal decomposition used in partial differential equation based on SVD. (Chinese. English summary) Zbl 1413.65393 Math. Appl. 31, No. 2, 305-314 (2018). MSC: 65M99 65F20 65M12 15A18 74B05 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{J. Zhang}, Math. Appl. 31, No. 2, 305--314 (2018; Zbl 1413.65393)
Deokar, R.; Shimada, M.; Lin, C.; Tamma, K. K. On the treatment of high-frequency issues in numerical simulation for dynamic systems by model order reduction via the proper orthogonal decomposition. (English) Zbl 1439.74407 Comput. Methods Appl. Mech. Eng. 325, 139-154 (2017). MSC: 74S05 65L99 65L60 74H45 PDFBibTeX XMLCite \textit{R. Deokar} et al., Comput. Methods Appl. Mech. Eng. 325, 139--154 (2017; Zbl 1439.74407) Full Text: DOI
Yang, Huanhuan; Gunzburger, Max Algorithms and analyses for stochastic optimization for turbofan noise reduction using parallel reduced-order modeling. (English) Zbl 1439.76136 Comput. Methods Appl. Mech. Eng. 319, 217-239 (2017). MSC: 76M35 60-08 74P99 76Q05 PDFBibTeX XMLCite \textit{H. Yang} and \textit{M. Gunzburger}, Comput. Methods Appl. Mech. Eng. 319, 217--239 (2017; Zbl 1439.76136) Full Text: DOI arXiv
Ghavamian, F.; Tiso, P.; Simone, A. POD-DEIM model order reduction for strain-softening viscoplasticity. (English) Zbl 1439.74073 Comput. Methods Appl. Mech. Eng. 317, 458-479 (2017). MSC: 74C10 74S05 PDFBibTeX XMLCite \textit{F. Ghavamian} et al., Comput. Methods Appl. Mech. Eng. 317, 458--479 (2017; Zbl 1439.74073) Full Text: DOI
Sen, Uddalok; Mukhopadhyay, Achintya; Sen, Swarnendu Effects of fluid injection on dynamics of flow past a circular cylinder. (English) Zbl 1408.76509 Eur. J. Mech., B, Fluids 61, Part 1, 187-199 (2017). MSC: 76S05 74F10 PDFBibTeX XMLCite \textit{U. Sen} et al., Eur. J. Mech., B, Fluids 61, Part 1, 187--199 (2017; Zbl 1408.76509) Full Text: DOI
Wang, Mengyu; Brigham, John C. A generalized computationally efficient inverse characterization approach combining direct inversion solution initialization with gradient-based optimization. (English) Zbl 1398.35297 Comput. Mech. 59, No. 3, 507-521 (2017). MSC: 35R30 76M25 90C51 74G75 90C06 PDFBibTeX XMLCite \textit{M. Wang} and \textit{J. C. Brigham}, Comput. Mech. 59, No. 3, 507--521 (2017; Zbl 1398.35297) Full Text: DOI Link
Hamim, Salah U.; Singh, Raman P. Taguchi-based design of experiments in training POD-RBF surrogate model for inverse material modelling using nanoindentation. (English) Zbl 1359.74410 Inverse Probl. Sci. Eng. 25, No. 3, 363-381 (2017). MSC: 74S05 74P10 74C05 PDFBibTeX XMLCite \textit{S. U. Hamim} and \textit{R. P. Singh}, Inverse Probl. Sci. Eng. 25, No. 3, 363--381 (2017; Zbl 1359.74410) Full Text: DOI
Luo, Zhendong; Teng, Fei An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation. (English) Zbl 1353.74078 Bound. Value Probl. 2017, Paper No. 6, 20 p. (2017). MSC: 74S10 65M15 35Q35 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{F. Teng}, Bound. Value Probl. 2017, Paper No. 6, 20 p. (2017; Zbl 1353.74078) Full Text: DOI
Hoang, K. C.; Fu, Y.; Song, J. H. An hp-proper orthogonal decomposition-moving least squares approach for molecular dynamics simulation. (English) Zbl 1423.82026 Comput. Methods Appl. Mech. Eng. 298, 548-575 (2016). MSC: 82C80 65L05 74A25 82C05 PDFBibTeX XMLCite \textit{K. C. Hoang} et al., Comput. Methods Appl. Mech. Eng. 298, 548--575 (2016; Zbl 1423.82026) Full Text: DOI
Brands, Benjamin; Mergheim, Julia; Steinmann, Paul Reduced-order modelling for linear heat conduction with parametrised moving heat sources. (English) Zbl 1397.74050 GAMM-Mitt. 39, No. 2, 170-188 (2016). MSC: 74F05 74S30 PDFBibTeX XMLCite \textit{B. Brands} et al., GAMM-Mitt. 39, No. 2, 170--188 (2016; Zbl 1397.74050) Full Text: DOI
Radermacher, Annika; Reese, Stefanie POD-based model reduction with empirical interpolation applied to nonlinear elasticity. (English) Zbl 1352.74048 Int. J. Numer. Methods Eng. 107, No. 6, 477-495 (2016). MSC: 74B20 74S05 65M60 PDFBibTeX XMLCite \textit{A. Radermacher} and \textit{S. Reese}, Int. J. Numer. Methods Eng. 107, No. 6, 477--495 (2016; Zbl 1352.74048) Full Text: DOI
Zimoń, M. J.; Reese, J. M.; Emerson, D. R. A novel coupling of noise reduction algorithms for particle flow simulations. (English) Zbl 1349.74381 J. Comput. Phys. 321, 169-190 (2016). MSC: 74S30 74A25 65T60 PDFBibTeX XMLCite \textit{M. J. Zimoń} et al., J. Comput. Phys. 321, 169--190 (2016; Zbl 1349.74381) Full Text: DOI
Troshin, Victor; Seifert, Avi; Sidilkover, David; Tadmor, Gilead Proper orthogonal decomposition of flow-field in non-stationary geometry. (English) Zbl 1349.76951 J. Comput. Phys. 311, 329-337 (2016). MSC: 76Z10 74F10 76G25 76M25 PDFBibTeX XMLCite \textit{V. Troshin} et al., J. Comput. Phys. 311, 329--337 (2016; Zbl 1349.76951) Full Text: DOI
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin Certified reduced basis methods for parametrized partial differential equations. (English) Zbl 1329.65203 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-319-22469-5/pbk; 978-3-319-22470-1/ebook). xiii, 131 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M15 65N15 65-02 65M12 65N12 65N30 74B05 80A20 35K05 65M60 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Certified reduced basis methods for parametrized partial differential equations. Cham: Springer; Bilbao: BCAM -- Basque Center for Applied Mathematics (2016; Zbl 1329.65203) Full Text: DOI
Alotaibi, Manal; Calo, Victor M.; Efendiev, Yalchin; Galvis, Juan; Ghommem, Mehdi Global-local nonlinear model reduction for flows in heterogeneous porous media. (English) Zbl 1423.76414 Comput. Methods Appl. Mech. Eng. 292, 122-137 (2015). MSC: 76S05 76M10 65M60 74F10 PDFBibTeX XMLCite \textit{M. Alotaibi} et al., Comput. Methods Appl. Mech. Eng. 292, 122--137 (2015; Zbl 1423.76414) Full Text: DOI arXiv
Corigliano, A.; Dossi, M.; Mariani, S. Model order reduction and domain decomposition strategies for the solution of the dynamic elastic-plastic structural problem. (English) Zbl 1423.74874 Comput. Methods Appl. Mech. Eng. 290, 127-155 (2015). MSC: 74S05 65M60 74C05 PDFBibTeX XMLCite \textit{A. Corigliano} et al., Comput. Methods Appl. Mech. Eng. 290, 127--155 (2015; Zbl 1423.74874) Full Text: DOI
Wang, Mengyu; Dutta, Debaditya; Kim, Kang; Brigham, John C. A computationally efficient approach for inverse material characterization combining Gappy POD with direct inversion. (English) Zbl 1423.74965 Comput. Methods Appl. Mech. Eng. 286, 373-393 (2015). MSC: 74S30 65N21 74G75 PDFBibTeX XMLCite \textit{M. Wang} et al., Comput. Methods Appl. Mech. Eng. 286, 373--393 (2015; Zbl 1423.74965) Full Text: DOI
Le Quilliec, Guenhael; Raghavan, Balaji; Breitkopf, Piotr A manifold learning-based reduced order model for springback shape characterization and optimization in sheet metal forming. (English) Zbl 1423.74780 Comput. Methods Appl. Mech. Eng. 285, 621-638 (2015). MSC: 74P20 74S05 65D17 65N30 65N50 PDFBibTeX XMLCite \textit{G. Le Quilliec} et al., Comput. Methods Appl. Mech. Eng. 285, 621--638 (2015; Zbl 1423.74780) Full Text: DOI
Manzoni, Andrea; Salmoiraghi, Filippo; Heltai, Luca Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils. (English) Zbl 1423.76181 Comput. Methods Appl. Mech. Eng. 284, 1147-1180 (2015). MSC: 76G25 65D07 65N30 74F10 PDFBibTeX XMLCite \textit{A. Manzoni} et al., Comput. Methods Appl. Mech. Eng. 284, 1147--1180 (2015; Zbl 1423.76181) Full Text: DOI
Farhat, Charbel; Chapman, Todd; Avery, Philip Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models. (English) Zbl 1352.74349 Int. J. Numer. Methods Eng. 102, No. 5, 1077-1110 (2015). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{C. Farhat} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1077--1110 (2015; Zbl 1352.74349) Full Text: DOI
Xie, Dan; Xu, Min A comparison of numerical and semi-analytical proper orthogonal decomposition methods for a fluttering plate. (English) Zbl 1331.65143 Nonlinear Dyn. 79, No. 3, 1971-1989 (2015). MSC: 65M60 74K20 76J20 37N30 37M05 37D45 PDFBibTeX XMLCite \textit{D. Xie} and \textit{M. Xu}, Nonlinear Dyn. 79, No. 3, 1971--1989 (2015; Zbl 1331.65143) Full Text: DOI
Rama Mohan Rao, A.; Lakshmi, K. Damage diagnostic technique combining POD with time-frequency analysis and dynamic quantum PSO. (English) Zbl 1329.74263 Meccanica 50, No. 6, 1551-1578 (2015). MSC: 74R99 PDFBibTeX XMLCite \textit{A. Rama Mohan Rao} and \textit{K. Lakshmi}, Meccanica 50, No. 6, 1551--1578 (2015; Zbl 1329.74263) Full Text: DOI
Luo, Zhendong A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations. (English) Zbl 1411.74060 Bound. Value Probl. 2015, Paper No. 59, 15 p. (2015). MSC: 74S10 35K20 65M15 65M60 PDFBibTeX XMLCite \textit{Z. Luo}, Bound. Value Probl. 2015, Paper No. 59, 15 p. (2015; Zbl 1411.74060) Full Text: DOI
Hoang, K. C.; Kerfriden, P.; Khoo, B. C.; Bordas, S. P. A. An efficient goal-oriented sampling strategy using reduced basis method for parametrized elastodynamic problems. (English) Zbl 1325.74143 Numer. Methods Partial Differ. Equations 31, No. 2, 575-608 (2015). MSC: 74S05 65M60 74B05 PDFBibTeX XMLCite \textit{K. C. Hoang} et al., Numer. Methods Partial Differ. Equations 31, No. 2, 575--608 (2015; Zbl 1325.74143) Full Text: DOI Link
Xia, Liang; Breitkopf, Piotr A reduced multiscale model for nonlinear structural topology optimization. (English) Zbl 1423.74771 Comput. Methods Appl. Mech. Eng. 280, 117-134 (2014). MSC: 74P15 74S05 74E30 PDFBibTeX XMLCite \textit{L. Xia} and \textit{P. Breitkopf}, Comput. Methods Appl. Mech. Eng. 280, 117--134 (2014; Zbl 1423.74771) Full Text: DOI
Farhat, Charbel; Avery, Philip; Chapman, Todd; Cortial, Julien Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency. (English) Zbl 1352.74348 Int. J. Numer. Methods Eng. 98, No. 9, 625-662 (2014). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{C. Farhat} et al., Int. J. Numer. Methods Eng. 98, No. 9, 625--662 (2014; Zbl 1352.74348) Full Text: DOI
Kerfriden, P.; Ródenas, J. J.; Bordas, S. P.-A. Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. (English) Zbl 1352.74265 Int. J. Numer. Methods Eng. 97, No. 6, 395-422 (2014). MSC: 74Q05 74S05 65N30 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Int. J. Numer. Methods Eng. 97, No. 6, 395--422 (2014; Zbl 1352.74265) Full Text: DOI arXiv Link
Giacoma, A.; Dureisseix, D.; Gravouil, A.; Rochette, M. A multiscale large time increment/FAS algorithm with time-space model reduction for frictional contact problems. (English) Zbl 1352.74205 Int. J. Numer. Methods Eng. 97, No. 3, 207-230 (2014). MSC: 74M15 74S05 65N15 65N30 65N55 74M10 PDFBibTeX XMLCite \textit{A. Giacoma} et al., Int. J. Numer. Methods Eng. 97, No. 3, 207--230 (2014; Zbl 1352.74205) Full Text: DOI HAL
Xiao, Manyu; Breitkopf, Piotr; Coelho, Rajan Filomeno; Villon, Pierre; Zhang, Weihong Proper orthogonal decomposition with high number of linear constraints for aerodynamical shape optimization. (English) Zbl 1338.76042 Appl. Math. Comput. 247, 1096-1112 (2014). MSC: 76G25 76N25 74P15 76M10 74S05 65N30 49Q12 PDFBibTeX XMLCite \textit{M. Xiao} et al., Appl. Math. Comput. 247, 1096--1112 (2014; Zbl 1338.76042) Full Text: DOI
Radermacher, Annika; Reese, Stefanie Model reduction in elastoplasticity: proper orthogonal decomposition combined with adaptive sub-structuring. (English) Zbl 1311.74026 Comput. Mech. 54, No. 3, 677-687 (2014). MSC: 74C05 65M60 PDFBibTeX XMLCite \textit{A. Radermacher} and \textit{S. Reese}, Comput. Mech. 54, No. 3, 677--687 (2014; Zbl 1311.74026) Full Text: DOI
Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Improving the \( k\)-compressibility of hyper reduced order models with moving sources: applications to welding and phase change problems. (English) Zbl 1296.80009 Comput. Methods Appl. Mech. Eng. 274, 237-263 (2014). MSC: 80A22 74N25 80M10 65M60 PDFBibTeX XMLCite \textit{A. Cosimo} et al., Comput. Methods Appl. Mech. Eng. 274, 237--263 (2014; Zbl 1296.80009) Full Text: DOI
Boucinha, L.; Ammar, A.; Gravouil, A.; Nouy, A. Ideal minimal residual-based proper generalized decomposition for non-symmetric multi-field models – application to transient elastodynamics in space-time domain. (English) Zbl 1296.74139 Comput. Methods Appl. Mech. Eng. 273, 56-76 (2014). MSC: 74S30 65M99 74H15 PDFBibTeX XMLCite \textit{L. Boucinha} et al., Comput. Methods Appl. Mech. Eng. 273, 56--76 (2014; Zbl 1296.74139) Full Text: DOI Link
Becker, Urs; Simeon, Bernd; Burger, Michaek On Rosenbrock methods for the time integration of nearly incompressible materials and their usage for nonlinear model reduction. (English) Zbl 1302.74156 J. Comput. Appl. Math. 262, 333-345 (2014). MSC: 74S05 65L06 65M20 74L15 PDFBibTeX XMLCite \textit{U. Becker} et al., J. Comput. Appl. Math. 262, 333--345 (2014; Zbl 1302.74156) Full Text: DOI
Kerfriden, P.; Goury, O.; Rabczuk, T.; Bordas, S. P. A. A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics. (English) Zbl 1352.74285 Comput. Methods Appl. Mech. Eng. 256, 169-188 (2013). MSC: 74R10 74Q05 74S30 65N55 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Comput. Methods Appl. Mech. Eng. 256, 169--188 (2013; Zbl 1352.74285) Full Text: DOI arXiv Link
Lee, Chung-Hao; Chen, Jiun-Shyan Proper orthogonal decomposition-based model order reduction via radial basis functions for molecular dynamics systems. (English) Zbl 1352.65182 Int. J. Numer. Methods Eng. 96, No. 10, 599-627 (2013). MSC: 65L05 74A25 PDFBibTeX XMLCite \textit{C.-H. Lee} and \textit{J.-S. Chen}, Int. J. Numer. Methods Eng. 96, No. 10, 599--627 (2013; Zbl 1352.65182) Full Text: DOI
Kalashnikova, I.; Barone, M. F.; Brake, M. R. A stable Galerkin reduced order model for coupled fluid-structure interaction problems. (English) Zbl 1352.74374 Int. J. Numer. Methods Eng. 95, No. 2, 121-144 (2013). MSC: 74S05 65M60 74F10 74K20 76N10 PDFBibTeX XMLCite \textit{I. Kalashnikova} et al., Int. J. Numer. Methods Eng. 95, No. 2, 121--144 (2013; Zbl 1352.74374) Full Text: DOI
Radermacher, Annika; Reese, Stefanie A comparison of projection-based model reduction concepts in the context of nonlinear biomechanics. (English) Zbl 1349.74262 Arch. Appl. Mech. 83, No. 8, 1193-1213 (2013). MSC: 74L15 74S30 PDFBibTeX XMLCite \textit{A. Radermacher} and \textit{S. Reese}, Arch. Appl. Mech. 83, No. 8, 1193--1213 (2013; Zbl 1349.74262) Full Text: DOI
Xia, Liang; Raghavan, Balaji; Breitkopf, Piotr; Zhang, Weihong Numerical material representation using proper orthogonal decomposition and diffuse approximation. (English) Zbl 1334.74099 Appl. Math. Comput. 224, 450-462 (2013). MSC: 74S30 65D05 74N15 PDFBibTeX XMLCite \textit{L. Xia} et al., Appl. Math. Comput. 224, 450--462 (2013; Zbl 1334.74099) Full Text: DOI
Li, Hong; Luo, Zhendong; Gao, Junqiang A new reduced-order FVE algorithm based on POD method for viscoelastic equations. (English) Zbl 1313.74040 Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 4, 1076-1098 (2013). MSC: 74D05 65N30 65N15 76M10 65M60 74S10 PDFBibTeX XMLCite \textit{H. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 4, 1076--1098 (2013; Zbl 1313.74040) Full Text: DOI
Zokagoa, Jean-Marie; Soulaïmani, Azzeddine Low-order modelling of shallow water equations for sensitivity analysis using proper orthogonal decomposition. (English) Zbl 07506655 Int. J. Comput. Fluid Dyn. 26, No. 5, 275-295 (2012). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{J.-M. Zokagoa} and \textit{A. Soulaïmani}, Int. J. Comput. Fluid Dyn. 26, No. 5, 275--295 (2012; Zbl 07506655) Full Text: DOI
Boumediene, F.; Duigou, L.; Miloudi, A.; Cadou, J. M. Numerical comparison of reduced order models for non-linear vibrations of damped plates. (English. French summary) Zbl 1348.74211 Eur. J. Comput. Mech. 21, No. 3-6, 174-183 (2012). MSC: 74K20 74H45 74S30 PDFBibTeX XMLCite \textit{F. Boumediene} et al., Eur. J. Comput. Mech. 21, No. 3--6, 174--183 (2012; Zbl 1348.74211) Full Text: DOI
Onozato, Naoki; Nagai, Ken-ichi; Maruyama, Shinichi; Yamaguchi, Takao Chaotic vibrations of a post-buckled L-shaped beam with an axial constraint. (English) Zbl 1356.74089 Nonlinear Dyn. 67, No. 4, 2363-2379 (2012). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{N. Onozato} et al., Nonlinear Dyn. 67, No. 4, 2363--2379 (2012; Zbl 1356.74089) Full Text: DOI
Kerfriden, P.; Passieux, J. C.; Bordas, S. P. A. Local/global model order reduction strategy for the simulation of quasi-brittle fracture. (English) Zbl 1242.74130 Int. J. Numer. Methods Eng. 89, No. 2, 154-179 (2012). MSC: 74S05 74S20 74R05 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Int. J. Numer. Methods Eng. 89, No. 2, 154--179 (2012; Zbl 1242.74130) Full Text: DOI arXiv
Capiez-Lernout, E.; Soize, C.; Mignolet, M. P. Computational stochastic statics of an uncertain curved structure with geometrical nonlinearity in three-dimensional elasticity. (English) Zbl 1380.74120 Comput. Mech. 49, No. 1, 87-97 (2012). MSC: 74S60 74S05 74K10 74B20 PDFBibTeX XMLCite \textit{E. Capiez-Lernout} et al., Comput. Mech. 49, No. 1, 87--97 (2012; Zbl 1380.74120) Full Text: DOI Link
Luo, Zhendong; Li, Hong; Zhou, Yanjie; Huang, Xiaoming A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem. (English) Zbl 1368.74071 J. Math. Anal. Appl. 385, No. 1, 310-321 (2012). MSC: 74S10 74D05 65M08 65M15 35L35 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Anal. Appl. 385, No. 1, 310--321 (2012; Zbl 1368.74071) Full Text: DOI
Chen, Gang; Li, Yue-Ming; Yan, Gui-Rong Limit cycle oscillation prediction and control design method for aeroelastic system based on new nonlinear reduced-order model. (English) Zbl 1270.76068 Int. J. Comput. Methods 8, No. 1, 77-90 (2011). MSC: 76N25 76M12 74F10 76H05 PDFBibTeX XMLCite \textit{G. Chen} et al., Int. J. Comput. Methods 8, No. 1, 77--90 (2011; Zbl 1270.76068) Full Text: DOI
Placzek, A.; Tran, D.-M.; Ohayon, R. A nonlinear POD-Galerkin reduced-order model for compressible flows taking into account rigid body motions. (English) Zbl 1239.76046 Comput. Methods Appl. Mech. Eng. 200, No. 49-52, 3497-3514 (2011). MSC: 76M10 76N99 65M60 74F10 PDFBibTeX XMLCite \textit{A. Placzek} et al., Comput. Methods Appl. Mech. Eng. 200, No. 49--52, 3497--3514 (2011; Zbl 1239.76046) Full Text: DOI
Carlberg, Kevin; Farhat, Charbel A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. (English) Zbl 1235.74352 Int. J. Numer. Methods Eng. 86, No. 3, 381-402 (2011). MSC: 74S30 74F10 PDFBibTeX XMLCite \textit{K. Carlberg} and \textit{C. Farhat}, Int. J. Numer. Methods Eng. 86, No. 3, 381--402 (2011; Zbl 1235.74352) Full Text: DOI
Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel Efficient non linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. (English) Zbl 1235.74351 Int. J. Numer. Methods Eng. 86, No. 2, 155-181 (2011). MSC: 74S30 65N22 PDFBibTeX XMLCite \textit{K. Carlberg} et al., Int. J. Numer. Methods Eng. 86, No. 2, 155--181 (2011; Zbl 1235.74351) Full Text: DOI
Bolzon, Gabriella; Buljak, Vladimir An effective computational tool for parametric studies and identification problems in materials mechanics. (English) Zbl 1334.74095 Comput. Mech. 48, No. 6, 675-687 (2011). MSC: 74S30 74A99 PDFBibTeX XMLCite \textit{G. Bolzon} and \textit{V. Buljak}, Comput. Mech. 48, No. 6, 675--687 (2011; Zbl 1334.74095) Full Text: DOI
Kerfriden, P.; Gosselet, P.; Adhikari, S.; Bordas, S. P. A. Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems. (English) Zbl 1225.74092 Comput. Methods Appl. Mech. Eng. 200, No. 5-8, 850-866 (2011). MSC: 74S05 74S20 74R20 74K99 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Comput. Methods Appl. Mech. Eng. 200, No. 5--8, 850--866 (2011; Zbl 1225.74092) Full Text: DOI arXiv
Li, Huanrong; Luo, Zhendong; Chen, Jing Numerical simulation based on POD for two-dimensional solute transport problems. (English) Zbl 1217.74082 Appl. Math. Modelling 35, No. 5, 2489-2498 (2011). MSC: 74L10 74F10 74S05 PDFBibTeX XMLCite \textit{H. Li} et al., Appl. Math. Modelling 35, No. 5, 2489--2498 (2011; Zbl 1217.74082) Full Text: DOI
Filomeno Coelho, Rajan; Breitkopf, Piotr; Knopf-Lenoir, Catherine; Villon, Pierre Bi-level model reduction for coupled problems: application to a 3D wing. (English) Zbl 1274.74225 Struct. Multidiscip. Optim. 39, No. 4, 401-418 (2010). MSC: 74P05 76G25 76N25 PDFBibTeX XMLCite \textit{R. Filomeno Coelho} et al., Struct. Multidiscip. Optim. 39, No. 4, 401--418 (2010; Zbl 1274.74225) Full Text: DOI
Yang, Chao; Liu, XiaoYan; Wu, ZhiGang Unsteady aerodynamic modeling based on POD-observer method. (English) Zbl 1386.74052 Sci. China, Technol. Sci. 53, No. 8, 2032-2037 (2010). MSC: 74F10 76K05 PDFBibTeX XMLCite \textit{C. Yang} et al., Sci. China, Technol. Sci. 53, No. 8, 2032--2037 (2010; Zbl 1386.74052) Full Text: DOI
Kalashnikova, I.; Barone, M. F. On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment. (English) Zbl 1202.74123 Int. J. Numer. Methods Eng. 83, No. 10, 1345-1375 (2010). MSC: 74M25 74N15 PDFBibTeX XMLCite \textit{I. Kalashnikova} and \textit{M. F. Barone}, Int. J. Numer. Methods Eng. 83, No. 10, 1345--1375 (2010; Zbl 1202.74123) Full Text: DOI
Niroomandi, Siamak; Alfaro, Icíar; Cueto, Elías; Chinesta, Francisco Model order reduction for hyperelastic materials. (English) Zbl 1183.74365 Int. J. Numer. Methods Eng. 81, No. 9, 1180-1206 (2010). MSC: 74S30 74B20 PDFBibTeX XMLCite \textit{S. Niroomandi} et al., Int. J. Numer. Methods Eng. 81, No. 9, 1180--1206 (2010; Zbl 1183.74365) Full Text: DOI HAL
Ammar, Amine; Pruliere, Etienne; Férec, Julien; Chinesta, Francisco; Cueto, Elias Coupling finite elements and reduced approximation bases. (English. French summary) Zbl 1278.76051 Eur. J. Comput. Mech. 18, No. 5-6, 445-463 (2009). MSC: 76M10 74S05 80A20 PDFBibTeX XMLCite \textit{A. Ammar} et al., Eur. J. Comput. Mech. 18, No. 5--6, 445--463 (2009; Zbl 1278.76051) Full Text: DOI HAL
Basudhar, Anirban; Missoum, Samy A sampling-based approach for probabilistic design with random fields. (English) Zbl 1230.74238 Comput. Methods Appl. Mech. Eng. 198, No. 47-48, 3647-3655 (2009). MSC: 74S60 74R15 74M20 PDFBibTeX XMLCite \textit{A. Basudhar} and \textit{S. Missoum}, Comput. Methods Appl. Mech. Eng. 198, No. 47--48, 3647--3655 (2009; Zbl 1230.74238) Full Text: DOI
Brigham, John C.; Aquino, Wilkins Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction. (English) Zbl 1229.74032 Comput. Methods Appl. Mech. Eng. 198, No. 9-12, 893-903 (2009). MSC: 74F10 74G75 74S05 74D05 76Q05 PDFBibTeX XMLCite \textit{J. C. Brigham} and \textit{W. Aquino}, Comput. Methods Appl. Mech. Eng. 198, No. 9--12, 893--903 (2009; Zbl 1229.74032) Full Text: DOI
Chinesta, F.; Cueto, E.; Joyot, P.; Villon, P. Accounting for weak discontinuities and moving boundaries in the context of the natural element method and model reduction techniques. (English) Zbl 1209.74069 Combescure, Alain (ed.) et al., IUTAM symposium on discretization methods for evolving discontinuities. Proceedings of the IUTAM symposium held in Lyon, France, September 4–7, 2006. Dordrecht: Springer (ISBN 978-1-4020-6529-3/hbk). IUTAM Bookseries 5, 37-55 (2007). MSC: 74S30 74S05 74R99 PDFBibTeX XMLCite \textit{F. Chinesta} et al., IUTAM Bookser. 5, 37--55 (2007; Zbl 1209.74069) Full Text: DOI HAL