Fu, R.; Xiao, D.; Navon, I. M.; Fang, F.; Yang, L.; Wang, C.; Cheng, S. A non-linear non-intrusive reduced order model of fluid flow by auto-encoder and self-attention deep learning methods. (English) Zbl 1524.76277 Int. J. Numer. Methods Eng. 124, No. 13, 3087-3111 (2023). MSC: 76M22 PDFBibTeX XMLCite \textit{R. Fu} et al., Int. J. Numer. Methods Eng. 124, No. 13, 3087--3111 (2023; Zbl 1524.76277) Full Text: DOI
Chetry, Manisha; Borzacchiello, Domenico; D’Avino, Gaetano; Rocha Da Silva, Luisa Comparing different stabilization strategies for reduced order modeling of viscoelastic fluid flow problems. (English) Zbl 1521.76037 Comput. Fluids 265, Article ID 106013, 13 p. (2023). MSC: 76A10 76M10 65N30 PDFBibTeX XMLCite \textit{M. Chetry} et al., Comput. Fluids 265, Article ID 106013, 13 p. (2023; Zbl 1521.76037) Full Text: DOI
Abbaszadeh, Mostafa; Azis, Mohammad Ivan; Dehghan, Mehdi; Mohammadi-Arani, Reza Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. (English) Zbl 07692044 Comput. Math. Appl. 140, 195-210 (2023). MSC: 76M25 76D05 76M12 65M06 76M20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 140, 195--210 (2023; Zbl 07692044) Full Text: DOI
Abbaszadeh, Mostafa; Kalhor, Yasmin; Dehghan, Mehdi; Donatelli, Marco A reduced-order model based on cubic B-spline basis function and SSP Runge-Kutta procedure to investigate option pricing under jump-diffusion models. (English) Zbl 1521.91384 Eng. Anal. Bound. Elem. 150, 154-166 (2023). MSC: 91G60 65M75 65D07 91G20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 150, 154--166 (2023; Zbl 1521.91384) Full Text: DOI
Cheung, Siu Wun; Choi, Youngsoo; Copeland, Dylan Matthew; Huynh, Kevin Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition. (English) Zbl 07620355 J. Comput. Phys. 472, Article ID 111655, 29 p. (2023). MSC: 65Mxx 76Mxx 65Fxx PDFBibTeX XMLCite \textit{S. W. Cheung} et al., J. Comput. Phys. 472, Article ID 111655, 29 p. (2023; Zbl 07620355) Full Text: DOI arXiv
Dabaghian, Pedram H.; Ahmed, Shady E.; San, Omer Nonintrusive reduced order modelling of convective Boussinesq flows. (English) Zbl 1508.76089 Int. J. Comput. Fluid Dyn. 36, No. 7, 578-598 (2022). MSC: 76M99 76D99 76R10 80A19 68T05 PDFBibTeX XMLCite \textit{P. H. Dabaghian} et al., Int. J. Comput. Fluid Dyn. 36, No. 7, 578--598 (2022; Zbl 1508.76089) Full Text: DOI arXiv
MohammadiArani, Reza; Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition-lattice Boltzmann method: simulating the air pollutant problem in street canyon areas. (English) Zbl 1492.76097 SIAM J. Sci. Comput. 44, No. 4, B885-B909 (2022). MSC: 76N15 65M22 76M28 PDFBibTeX XMLCite \textit{R. MohammadiArani} et al., SIAM J. Sci. Comput. 44, No. 4, B885--B909 (2022; Zbl 1492.76097) Full Text: DOI
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. (English) Zbl 1521.65112 Comput. Fluids 241, Article ID 105481, 13 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{F. Cheng} et al., Comput. Fluids 241, Article ID 105481, 13 p. (2022; Zbl 1521.65112) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) Full Text: DOI
Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. (English) Zbl 1524.76215 Comput. Math. Appl. 116, 140-160 (2022). MSC: 76M10 65N30 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Math. Appl. 116, 140--160 (2022; Zbl 1524.76215) Full Text: DOI arXiv
Cao, Xiulei; Fraser, Kirk; Song, Zilong; Drummond, Chris; Huang, Huaxiong Machine learning and reduced order computation of a friction stir welding model. (English) Zbl 07518046 J. Comput. Phys. 454, Article ID 110863, 20 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{X. Cao} et al., J. Comput. Phys. 454, Article ID 110863, 20 p. (2022; Zbl 07518046) Full Text: DOI
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder. (English) Zbl 07517153 J. Comput. Phys. 451, Article ID 110841, 29 p. (2022). MSC: 65Mxx 65Lxx 68Txx PDFBibTeX XMLCite \textit{Y. Kim} et al., J. Comput. Phys. 451, Article ID 110841, 29 p. (2022; Zbl 07517153) Full Text: DOI arXiv
Khodabakhshi, Parisa; Willcox, Karen E. Non-intrusive data-driven model reduction for differential-algebraic equations derived from lifting transformations. (English) Zbl 1507.65135 Comput. Methods Appl. Mech. Eng. 389, Article ID 114296, 20 p. (2022). MSC: 65L80 PDFBibTeX XMLCite \textit{P. Khodabakhshi} and \textit{K. E. Willcox}, Comput. Methods Appl. Mech. Eng. 389, Article ID 114296, 20 p. (2022; Zbl 1507.65135) Full Text: DOI
Copeland, Dylan Matthew; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo Reduced order models for Lagrangian hydrodynamics. (English) Zbl 1507.76179 Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022). MSC: 76M60 76M10 65M60 PDFBibTeX XMLCite \textit{D. M. Copeland} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022; Zbl 1507.76179) Full Text: DOI arXiv
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
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Heitzinger, Clemens; Wick, Thomas A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. (English) Zbl 07510038 J. Comput. Phys. 426, Article ID 109875, 27 p. (2021). MSC: 80-XX 65-XX PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., J. Comput. Phys. 426, Article ID 109875, 27 p. (2021; Zbl 07510038) Full Text: DOI
Xiao, Cong; Leeuwenburgh, Olwijn; Lin, Hai Xiang; Heemink, Arnold Efficient estimation of space varying parameters in numerical models using non-intrusive subdomain reduced order modeling. (English) Zbl 07508472 J. Comput. Phys. 424, Article ID 109867, 30 p. (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{C. Xiao} et al., J. Comput. Phys. 424, Article ID 109867, 30 p. (2021; Zbl 07508472) Full Text: DOI
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
Onori, Michel; Hills, Nicholas J. Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition. (English) Zbl 1521.76357 Comput. Fluids 216, Article ID 104818, 18 p. (2021). MSC: 76M10 65M60 76F65 76U05 PDFBibTeX XMLCite \textit{M. Onori} and \textit{N. J. Hills}, Comput. Fluids 216, Article ID 104818, 18 p. (2021; Zbl 1521.76357) Full Text: DOI
Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. (English) Zbl 1473.65144 Commun. Comput. Phys. 30, No. 1, 34-66 (2021). MSC: 65M08 35Q35 65M22 76D05 76M12 PDFBibTeX XMLCite \textit{S. K. Star} et al., Commun. Comput. Phys. 30, No. 1, 34--66 (2021; Zbl 1473.65144) 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
Esmaeili, Mohammad; Ahmadi, Mohammad; Kazemi, Alireza A generalized DEIM technique for model order reduction of porous media simulations in reservoir optimizations. (English) Zbl 07508391 J. Comput. Phys. 422, Article ID 109769, 20 p. (2020). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{M. Esmaeili} et al., J. Comput. Phys. 422, Article ID 109769, 20 p. (2020; Zbl 07508391) Full Text: DOI
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. (English) Zbl 1506.76086 Comput. Methods Appl. Mech. Eng. 370, Article ID 113273, 18 p. (2020). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Methods Appl. Mech. Eng. 370, Article ID 113273, 18 p. (2020; Zbl 1506.76086) Full Text: DOI arXiv
Sipp, Denis; Fosas de Pando, Miguel; Schmid, Peter J. Nonlinear model reduction: a comparison between POD-Galerkin and POD-DEIM methods. (English) Zbl 1502.76029 Comput. Fluids 208, Article ID 104628, 21 p. (2020). MSC: 76D25 PDFBibTeX XMLCite \textit{D. Sipp} et al., Comput. Fluids 208, Article ID 104628, 21 p. (2020; Zbl 1502.76029) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. (English) Zbl 1464.65081 Eng. Anal. Bound. Elem. 119, 151-161 (2020). MSC: 65M06 65D12 65M70 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 119, 151--161 (2020; Zbl 1464.65081) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145 Appl. Numer. Math. 158, 271-291 (2020). MSC: 65M06 65N06 65M99 65M15 65M12 65D30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 158, 271--291 (2020; Zbl 1452.65145) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. (English) Zbl 1442.65287 Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020). MSC: 65M70 65D12 76D05 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020; Zbl 1442.65287) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. (English) Zbl 1444.76083 Appl. Numer. Math. 150, 274-294 (2020). Reviewer: Petr Sváček (Praha) MSC: 76M99 76M20 76A10 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 150, 274--294 (2020; Zbl 1444.76083) Full Text: DOI
Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. (English) Zbl 1442.65376 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, 111-125 (2020). MSC: 65N30 65N38 65N50 80M10 80M15 80A19 35K05 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., IUTAM Bookser. 36, 111--125 (2020; Zbl 1442.65376) Full Text: DOI arXiv
Xiao, D. Error estimation of the parametric non-intrusive reduced order model using machine learning. (English) Zbl 1441.62081 Comput. Methods Appl. Mech. Eng. 355, 513-534 (2019). MSC: 62F15 62G05 62-08 PDFBibTeX XMLCite \textit{D. Xiao}, Comput. Methods Appl. Mech. Eng. 355, 513--534 (2019; Zbl 1441.62081) Full Text: DOI Link
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
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow. (English) Zbl 1440.76073 Comput. Methods Appl. Mech. Eng. 347, 568-587 (2019). MSC: 76M10 65N30 65N38 76D07 76M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Methods Appl. Mech. Eng. 347, 568--587 (2019; Zbl 1440.76073) Full Text: DOI arXiv
Chakir, R.; Maday, Y.; Parnaudeau, P. A non-intrusive reduced basis approach for parametrized heat transfer problems. (English) Zbl 1416.65587 J. Comput. Phys. 376, 617-633 (2019). MSC: 65Z05 65K10 65N30 35Q79 PDFBibTeX XMLCite \textit{R. Chakir} et al., J. Comput. Phys. 376, 617--633 (2019; Zbl 1416.65587) Full Text: DOI HAL
Peitz, Sebastian; Ober-Blöbaum, Sina; Dellnitz, Michael Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling. (English) Zbl 1415.76221 Acta Appl. Math. 161, 171-199 (2019). MSC: 76D55 35Q30 49K20 49M05 90C29 93C20 PDFBibTeX XMLCite \textit{S. Peitz} et al., Acta Appl. Math. 161, 171--199 (2019; Zbl 1415.76221) Full Text: DOI arXiv
Xiao, D.; Heaney, C. E.; Fang, F.; Mottet, L.; Hu, R.; Bistrian, D. A.; Aristodemou, E.; Navon, I. M.; Pain, C. C. A domain decomposition non-intrusive reduced order model for turbulent flows. (English) Zbl 1411.76072 Comput. Fluids 182, 15-27 (2019). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{D. Xiao} et al., Comput. Fluids 182, 15--27 (2019; Zbl 1411.76072) Full Text: DOI Link
Zokagoa, Jean-Marie; Soulaïmani, Azzeddine A POD-based reduced-order model for uncertainty analyses in shallow water flows. (English) Zbl 07474471 Int. J. Comput. Fluid Dyn. 32, No. 6-7, 278-292 (2018). MSC: 86-XX 76-XX PDFBibTeX XMLCite \textit{J.-M. Zokagoa} and \textit{A. Soulaïmani}, Int. J. Comput. Fluid Dyn. 32, No. 6--7, 278--292 (2018; Zbl 07474471) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095 Comput. Math. Appl. 75, No. 4, 1390-1412 (2018). MSC: 76M22 76M10 65M70 86A05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 4, 1390--1412 (2018; Zbl 1409.76095) Full Text: DOI
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
Stabile, Giovanni; Rozza, Gianluigi Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. (English) Zbl 1410.76264 Comput. Fluids 173, 273-284 (2018). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{G. Stabile} and \textit{G. Rozza}, Comput. Fluids 173, 273--284 (2018; Zbl 1410.76264) Full Text: DOI arXiv
Dehghan, Mehdi; Abbaszadeh, Mostafa A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate. (English) Zbl 1380.65255 Appl. Numer. Math. 126, 92-112 (2018). MSC: 65M60 65M12 65M15 35L04 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 126, 92--112 (2018; Zbl 1380.65255) Full Text: DOI
Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394 Comput. Methods Appl. Mech. Eng. 324, 300-326 (2017). MSC: 74S05 65N30 74L15 92C10 PDFBibTeX XMLCite \textit{D. Bonomi} et al., Comput. Methods Appl. Mech. Eng. 324, 300--326 (2017; Zbl 1439.74394) Full Text: DOI Link
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
Elman, Howard C.; Forstall, Virginia Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods. (English) Zbl 1439.76064 Comput. Methods Appl. Mech. Eng. 317, 380-399 (2017). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{V. Forstall}, Comput. Methods Appl. Mech. Eng. 317, 380--399 (2017; Zbl 1439.76064) Full Text: DOI arXiv
Stabile, Giovanni; Hijazi, Saddam; Mola, Andrea; Lorenzi, Stefano; Rozza, Gianluigi POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder. (English) Zbl 1383.35175 Commun. Appl. Ind. Math. 8, No. 1, 210-236 (2017). MSC: 35Q35 97N40 76D17 76D05 65M08 PDFBibTeX XMLCite \textit{G. Stabile} et al., Commun. Appl. Ind. Math. 8, No. 1, 210--236 (2017; Zbl 1383.35175) 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
Dehghan, Mehdi; Abbaszadeh, Mostafa The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. (English) Zbl 1380.65301 J. Comput. Phys. 351, 478-510 (2017). MSC: 65M70 65D05 76M25 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, J. Comput. Phys. 351, 478--510 (2017; Zbl 1380.65301) Full Text: DOI
Chaturantabut, Saifon Temporal localized nonlinear model reduction with a priori error estimate. (English) Zbl 1368.65189 Appl. Numer. Math. 119, 225-238 (2017). MSC: 65M60 35G25 65M15 65M12 PDFBibTeX XMLCite \textit{S. Chaturantabut}, Appl. Numer. Math. 119, 225--238 (2017; Zbl 1368.65189) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. (English) Zbl 1439.76060 Comput. Methods Appl. Mech. Eng. 311, 856-888 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Methods Appl. Mech. Eng. 311, 856--888 (2016; Zbl 1439.76060) Full Text: DOI
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
Nigro, P. S. B.; Anndif, M.; Teixeira, Y.; Pimenta, P. M.; Wriggers, P. An adaptive model order reduction with quasi-Newton method for nonlinear dynamical problems. (English) Zbl 1352.65184 Int. J. Numer. Methods Eng. 106, No. 9, 740-759 (2016). MSC: 65L05 PDFBibTeX XMLCite \textit{P. S. B. Nigro} et al., Int. J. Numer. Methods Eng. 106, No. 9, 740--759 (2016; Zbl 1352.65184) 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
Wu, Yuqi; Hetmaniuk, Ulrich Adaptive training of local reduced bases for unsteady incompressible Navier-Stokes flows. (English) Zbl 1352.76070 Int. J. Numer. Methods Eng. 103, No. 3, 183-204 (2015). MSC: 76M10 76D05 65M60 65M50 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{U. Hetmaniuk}, Int. J. Numer. Methods Eng. 103, No. 3, 183--204 (2015; Zbl 1352.76070) Full Text: DOI
Ballarin, Francesco; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations. (English) Zbl 1352.76039 Int. J. Numer. Methods Eng. 102, No. 5, 1136-1161 (2015). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{F. Ballarin} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1136--1161 (2015; Zbl 1352.76039) Full Text: DOI Link
Buchan, A. G.; Calloo, A. A.; Goffin, M. G.; Dargaville, S.; Fang, F.; Pain, C. C.; Navon, I. M. A POD reduced order model for resolving angular direction in neutron/photon transport problems. (English) Zbl 1352.82030 J. Comput. Phys. 296, 138-157 (2015). MSC: 82D75 82C80 35Q20 45K05 65N30 PDFBibTeX XMLCite \textit{A. G. Buchan} et al., J. Comput. Phys. 296, 138--157 (2015; Zbl 1352.82030) Full Text: DOI
San, Omer; Iliescu, Traian A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation. (English) Zbl 1327.37028 Adv. Comput. Math. 41, No. 5, 1289-1319 (2015). MSC: 37N10 76M25 76F20 76D99 PDFBibTeX XMLCite \textit{O. San} and \textit{T. Iliescu}, Adv. Comput. Math. 41, No. 5, 1289--1319 (2015; Zbl 1327.37028) Full Text: DOI arXiv
Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J. Reduced order borehole induction modelling. (English) Zbl 07512419 Int. J. Comput. Fluid Dyn. 28, No. 3-4, 140-157 (2014). MSC: 78-XX 65-XX PDFBibTeX XMLCite \textit{N. Ardjmandpour} et al., Int. J. Comput. Fluid Dyn. 28, No. 3--4, 140--157 (2014; Zbl 07512419) Full Text: DOI
Nguyen, V. B.; Buffoni, M.; Willcox, K.; Khoo, B. C. Model reduction for reacting flow applications. (English) Zbl 07512416 Int. J. Comput. Fluid Dyn. 28, No. 3-4, 91-105 (2014). MSC: 80-XX 76-XX PDFBibTeX XMLCite \textit{V. B. Nguyen} et al., Int. J. Comput. Fluid Dyn. 28, No. 3--4, 91--105 (2014; Zbl 07512416) Full Text: DOI
Zhao, Pengfei; Liu, Cai; Feng, Xuan POD-DEIM based model order reduction for the spherical shallow water equations with Turkel-Zwas finite difference discretization. (English) Zbl 1437.76037 J. Appl. Math. 2014, Article ID 292489, 10 p. (2014). MSC: 76M20 76B15 PDFBibTeX XMLCite \textit{P. Zhao} et al., J. Appl. Math. 2014, Article ID 292489, 10 p. (2014; Zbl 1437.76037) Full Text: DOI
Balajewicz, Maciej; Farhat, Charbel Reduction of nonlinear embedded boundary models for problems with evolving interfaces. (English) Zbl 1352.65322 J. Comput. Phys. 274, 489-504 (2014). MSC: 65M50 PDFBibTeX XMLCite \textit{M. Balajewicz} and \textit{C. Farhat}, J. Comput. Phys. 274, 489--504 (2014; Zbl 1352.65322) Full Text: DOI arXiv