Ares de Parga, S.; Bravo, J. R.; Hernández, J. A.; Zorrilla, R.; Rossi, R. Hyper-reduction for Petrov-Galerkin reduced order models. (English) Zbl 07761298 Comput. Methods Appl. Mech. Eng. 416, Article ID 116298, 32 p. (2023). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{S. Ares de Parga} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116298, 32 p. (2023; Zbl 07761298) Full Text: DOI arXiv
Chen, Peter Yichen; Chiaramonte, Maurizio M.; Grinspun, Eitan; Carlberg, Kevin Model reduction for the material point method via an implicit neural representation of the deformation map. (English) Zbl 07660321 J. Comput. Phys. 478, Article ID 111908, 30 p. (2023). MSC: 76Mxx 93Bxx 74Sxx PDFBibTeX XMLCite \textit{P. Y. Chen} et al., J. Comput. Phys. 478, Article ID 111908, 30 p. (2023; Zbl 07660321) Full Text: DOI arXiv
Yu, Jian; Ray, Deep; Hesthaven, Jan S. Fourier collocation and reduced basis methods for fast modeling of compressible flows. (English) Zbl 1500.76064 Commun. Comput. Phys. 32, No. 3, 595-637 (2022). MSC: 76M22 76M20 76N15 76L05 PDFBibTeX XMLCite \textit{J. Yu} et al., Commun. Comput. Phys. 32, No. 3, 595--637 (2022; Zbl 1500.76064) Full Text: DOI
Yu, Jian; Hesthaven, Jan S. Model order reduction for compressible flows solved using the discontinuous Galerkin methods. (English) Zbl 07578888 J. Comput. Phys. 468, Article ID 111452, 32 p. (2022). MSC: 76Mxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{J. Yu} and \textit{J. S. Hesthaven}, J. Comput. Phys. 468, Article ID 111452, 32 p. (2022; Zbl 07578888) Full Text: DOI
Du, Eugene; Yano, Masayuki Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations. (English) Zbl 07561076 J. Comput. Phys. 466, Article ID 111399, 20 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{E. Du} and \textit{M. Yano}, J. Comput. Phys. 466, Article ID 111399, 20 p. (2022; Zbl 07561076) Full Text: DOI
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI arXiv
Maulik, Romit; Botsas, Themistoklis; Ramachandra, Nesar; Mason, Lachlan R.; Pan, Indranil Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation. (English) Zbl 07493969 Physica D 416, Article ID 132797, 17 p. (2021). MSC: 65P99 37M99 68T07 76B15 PDFBibTeX XMLCite \textit{R. Maulik} et al., Physica D 416, Article ID 132797, 17 p. (2021; Zbl 07493969) Full Text: DOI arXiv
Rungpitaxmana, Suchinthra; Chaturantabut, Saifon Model reduction for Fisher’s equation with an error bound. (English) Zbl 1482.65108 Thai J. Math. 19, No. 4, 1729-1762 (2021). MSC: 65L05 65L70 93B11 PDFBibTeX XMLCite \textit{S. Rungpitaxmana} and \textit{S. Chaturantabut}, Thai J. Math. 19, No. 4, 1729--1762 (2021; Zbl 1482.65108) Full Text: Link
Ahmed, Shady E.; Pawar, Suraj; San, Omer; Rasheed, Adil; Tabib, Mandar A nudged hybrid analysis and modeling approach for realtime wake-vortex transport and decay prediction. (English) Zbl 1521.76311 Comput. Fluids 221, Article ID 104895, 14 p. (2021). MSC: 76M10 76D25 76D17 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., Comput. Fluids 221, Article ID 104895, 14 p. (2021; Zbl 1521.76311) Full Text: DOI arXiv
Abdedou, Azzedine; Soulaïmani, Azzeddine A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: application to dam-break flows. (English) Zbl 1524.76130 Comput. Math. Appl. 102, 187-205 (2021). MSC: 76D05 65N30 76M10 65M60 PDFBibTeX XMLCite \textit{A. Abdedou} and \textit{A. Soulaïmani}, Comput. Math. Appl. 102, 187--205 (2021; Zbl 1524.76130) Full Text: DOI arXiv
Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J. Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. (English) Zbl 1473.78016 Commun. Comput. Phys. 27, No. 1, 1-32 (2020). MSC: 78M34 97N40 35Q35 PDFBibTeX XMLCite \textit{S. Georgaka} et al., Commun. Comput. Phys. 27, No. 1, 1--32 (2020; Zbl 1473.78016) Full Text: DOI arXiv
Cheng, M.; Fang, F.; Pain, C. C.; Navon, I. M. Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network. (English) Zbl 1442.76040 Comput. Methods Appl. Mech. Eng. 365, Article ID 113000, 17 p. (2020). MSC: 76D05 76-10 76M10 65M60 PDFBibTeX XMLCite \textit{M. Cheng} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113000, 17 p. (2020; Zbl 1442.76040) Full Text: DOI arXiv
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems. (English) Zbl 1452.76094 J. Comput. Phys. 387, 280-302 (2019). MSC: 76M10 65M60 76M30 65D07 76R50 76R10 PDFBibTeX XMLCite \textit{R. Li} et al., J. Comput. Phys. 387, 280--302 (2019; Zbl 1452.76094) Full Text: DOI
Xiao, D.; Fang, F.; Heaney, C. E.; Navon, I. M.; Pain, C. C. A domain decomposition method for the non-intrusive reduced order modelling of fluid flow. (English) Zbl 1441.76074 Comput. Methods Appl. Mech. Eng. 354, 307-330 (2019). MSC: 76M10 65M60 65M55 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 354, 307--330 (2019; Zbl 1441.76074) Full Text: DOI Link
Carlberg, Kevin; Choi, Youngsoo; Sargsyan, Syuzanna Conservative model reduction for finite-volume models. (English) Zbl 1415.65208 J. Comput. Phys. 371, 280-314 (2018). MSC: 65M08 35L65 65K10 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 371, 280--314 (2018; Zbl 1415.65208) Full Text: DOI arXiv
Xiao, D.; Du, J.; Fang, F.; Pain, C. C.; Li, J. Parameterised non-intrusive reduced order methods for ensemble Kalman filter data assimilation. (English) Zbl 1410.76397 Comput. Fluids 177, 69-77 (2018). MSC: 76M35 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Fluids 177, 69--77 (2018; Zbl 1410.76397) Full Text: DOI
Xiao, D.; Fang, F.; Pain, C. C.; Navon, I. M. A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications. (English) Zbl 1439.65124 Comput. Methods Appl. Mech. Eng. 317, 868-889 (2017). MSC: 65M60 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 317, 868--889 (2017; Zbl 1439.65124) Full Text: DOI Link
Carlberg, Kevin; Barone, Matthew; Antil, Harbir Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. (English) Zbl 1378.65145 J. Comput. Phys. 330, 693-734 (2017). MSC: 65L05 65L60 76M25 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 330, 693--734 (2017; Zbl 1378.65145) Full Text: DOI arXiv
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M. A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. (English) Zbl 1378.74067 J. Comput. Phys. 330, 221-244 (2017). MSC: 74S05 76M10 74R99 PDFBibTeX XMLCite \textit{D. Xiao} et al., J. Comput. Phys. 330, 221--244 (2017; Zbl 1378.74067) Full Text: DOI Link
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis and proper orthogonal decomposition for parabolic problems. (English) Zbl 1380.65295 Numer. Math. 135, No. 2, 333-370 (2017). MSC: 65M60 35K20 65D07 65M12 65M15 PDFBibTeX XMLCite \textit{S. Zhu} et al., Numer. Math. 135, No. 2, 333--370 (2017; Zbl 1380.65295) Full Text: DOI Link
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M. Non-intrusive reduced order modelling of fluid-structure interactions. (English) Zbl 1425.74167 Comput. Methods Appl. Mech. Eng. 303, 35-54 (2016). MSC: 74F10 76M10 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 303, 35--54 (2016; Zbl 1425.74167) Full Text: DOI
Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Muggeridge, A. Non-intrusive reduced order modelling of the Navier-Stokes equations. (English) Zbl 1423.76287 Comput. Methods Appl. Mech. Eng. 293, 522-541 (2015). MSC: 76M10 65M60 76D05 35Q30 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 293, 522--541 (2015; Zbl 1423.76287) Full Text: DOI
Wang, Zhu Nonlinear model reduction based on the finite element method with interpolated coefficients: Semilinear parabolic equations. (English) Zbl 1334.65159 Numer. Methods Partial Differ. Equations 31, No. 6, 1713-1741 (2015). MSC: 65M60 35K58 65M15 PDFBibTeX XMLCite \textit{Z. Wang}, Numer. Methods Partial Differ. Equations 31, No. 6, 1713--1741 (2015; Zbl 1334.65159) Full Text: DOI arXiv
Xiao, D.; Fang, F.; Buchan, A. G.; Pain, C. C.; Navon, I. M.; Du, J.; Hu, G. Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method. (English) Zbl 1349.76288 J. Comput. Phys. 263, 1-18 (2014). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., J. Comput. Phys. 263, 1--18 (2014; Zbl 1349.76288) Full Text: DOI
Xiao, D.; Fang, F.; Du, J.; Pain, C. C.; Navon, I. M.; Buchan, A. G.; ElSheikh, A. H.; Hu, G. Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair. (English) Zbl 1297.76107 Comput. Methods Appl. Mech. Eng. 255, 147-157 (2013). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 255, 147--157 (2013; Zbl 1297.76107) Full Text: DOI
Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows. (English) Zbl 1299.76180 J. Comput. Phys. 242, 623-647 (2013); corrigendum ibid. 250, 713 (2013). MSC: 76M25 76M10 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 242, 623--647 (2013; Zbl 1299.76180) Full Text: DOI arXiv