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: 92-XX 74-XX PDFBibTeX XMLCite \textit{L. Cicci} et al., Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023; Zbl 07817661) Full Text: DOI
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
Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221 Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65N99 65D05 65M12 76Z05 76W05 92C30 92C10 92C50 92-08 35Q92 PDFBibTeX XMLCite \textit{E. Zappon} et al., Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023; Zbl 1512.65221) Full Text: DOI arXiv
Hesthaven, Jan S.; Pagliantini, Cecilia; Rozza, Gianluigi Reduced basis methods for time-dependent problems. (English) Zbl 07674582 Acta Numerica 31, 265-345 (2022). MSC: 65M99 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Acta Numerica 31, 265--345 (2022; Zbl 07674582) Full Text: DOI
Sleeman, Michael K.; Yano, Masayuki Goal-oriented model reduction for parametrized time-dependent nonlinear partial differential equations. (English) Zbl 1507.65189 Comput. Methods Appl. Mech. Eng. 388, Article ID 114206, 37 p. (2022). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{M. K. Sleeman} and \textit{M. Yano}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114206, 37 p. (2022; Zbl 1507.65189) 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
Ambuehl, Antonietta; Whiteley, Jonathan P. Model reduction for initial value ODEs. (English) Zbl 1475.92079 Math. Biosci. 337, Article ID 108618, 11 p. (2021). MSC: 92C45 92C30 34C60 93B11 PDFBibTeX XMLCite \textit{A. Ambuehl} and \textit{J. P. Whiteley}, Math. Biosci. 337, Article ID 108618, 11 p. (2021; Zbl 1475.92079) Full Text: DOI
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. (English) Zbl 1480.65269 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 735-761 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 62G15 65C05 65M15 65K10 PDFBibTeX XMLCite \textit{W. I. T. Uy} and \textit{B. Peherstorfer}, ESAIM, Math. Model. Numer. Anal. 55, No. 3, 735--761 (2021; Zbl 1480.65269) Full Text: DOI arXiv
Haasdonk, Bernard MOR software. (English) Zbl 1503.65034 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 431-460 (2021). MSC: 65D15 65-04 93C15 68N30 PDFBibTeX XMLCite \textit{B. Haasdonk}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 431--460 (2021; Zbl 1503.65034) Full Text: DOI
Hesthaven, Jan S.; Pagliantini, Cecilia Structure-preserving reduced basis methods for Poisson systems. (English) Zbl 1465.37095 Math. Comput. 90, No. 330, 1701-1740 (2021). MSC: 37M15 37M05 65P10 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{C. Pagliantini}, Math. Comput. 90, No. 330, 1701--1740 (2021; Zbl 1465.37095) Full Text: DOI Link
Jiang, Hanbo; Zhong, Siyang; Zhang, Xin; Huang, Xun Efficient storage and interpolation of acoustic transfer functions. (English) Zbl 1464.76187 Eng. Anal. Bound. Elem. 124, 259-265 (2021). MSC: 76Q05 76M15 PDFBibTeX XMLCite \textit{H. Jiang} et al., Eng. Anal. Bound. Elem. 124, 259--265 (2021; Zbl 1464.76187) Full Text: DOI
Kweyu, Cleophas; Feng, Lihong; Stein, Matthias; Benner, Peter Fast solution of the linearized Poisson-Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method. (English) Zbl 07704919 Comput. Vis. Sci. 23, No. 1-4, Paper No. 15, 19 p. (2020). MSC: 65Nxx PDFBibTeX XMLCite \textit{C. Kweyu} et al., Comput. Vis. Sci. 23, No. 1--4, Paper No. 15, 19 p. (2020; Zbl 07704919) Full Text: DOI arXiv
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
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
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
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
Bhatt, Ashish; Fehr, Jörg; Grunert, Dennis; Haasdonk, Bernard A posteriori error estimation in model order reduction of elastic multibody systems with large rigid motion. (English) Zbl 1425.74452 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, 95-110 (2020). MSC: 74S05 65N30 65M15 PDFBibTeX XMLCite \textit{A. Bhatt} et al., IUTAM Bookser. 36, 95--110 (2020; Zbl 1425.74452) Full Text: DOI
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
Freno, Brian A.; Carlberg, Kevin T. Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations. (English) Zbl 1440.65058 Comput. Methods Appl. Mech. Eng. 348, 250-296 (2019). MSC: 65H10 68T05 PDFBibTeX XMLCite \textit{B. A. Freno} and \textit{K. T. Carlberg}, Comput. Methods Appl. Mech. Eng. 348, 250--296 (2019; Zbl 1440.65058) Full Text: DOI arXiv
Dal Santo, Niccolò; Manzoni, Andrea Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. (English) Zbl 1435.65155 Adv. Comput. Math. 45, No. 5-6, 2463-2501 (2019). MSC: 65M60 65M06 65N30 65M15 65N50 35B32 76M10 76A05 76Z05 92C35 35Q30 35Q92 PDFBibTeX XMLCite \textit{N. Dal Santo} and \textit{A. Manzoni}, Adv. Comput. Math. 45, No. 5--6, 2463--2501 (2019; Zbl 1435.65155) Full Text: DOI
Schmidt, Andreas; Haasdonk, Bernard Reduced basis approximation of large scale parametric algebraic Riccati equations. (English) Zbl 1396.49030 ESAIM, Control Optim. Calc. Var. 24, No. 1, 129-151 (2018). MSC: 49M30 49N05 93B36 34K35 93B52 65G99 PDFBibTeX XMLCite \textit{A. Schmidt} and \textit{B. Haasdonk}, ESAIM, Control Optim. Calc. Var. 24, No. 1, 129--151 (2018; Zbl 1396.49030) Full Text: DOI
Drmač, Zlatko; Saibaba, Arvind Krishna The discrete empirical interpolation method: canonical structure and formulation in weighted inner product spaces. (English) Zbl 1415.65107 SIAM J. Matrix Anal. Appl. 39, No. 3, 1152-1180 (2018). MSC: 65F99 65F15 65F35 65M20 65M22 65M60 PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{A. K. Saibaba}, SIAM J. Matrix Anal. Appl. 39, No. 3, 1152--1180 (2018; Zbl 1415.65107) Full Text: DOI arXiv
Fritzen, Felix; Haasdonk, Bernard; Ryckelynck, David; Schöps, Sebastian An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem. (English) Zbl 1390.80017 Math. Comput. Appl. 23, No. 1, Paper No. 8, 25 p. (2018). MSC: 80M10 65N30 PDFBibTeX XMLCite \textit{F. Fritzen} et al., Math. Comput. Appl. 23, No. 1, Paper No. 8, 25 p. (2018; Zbl 1390.80017) Full Text: DOI arXiv
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
Lozovskiy, Alexander; Farthing, Matthew; Kees, Chris Evaluation of Galerkin and Petrov-Galerkin model reduction for finite element approximations of the shallow water equations. (English) Zbl 1439.76086 Comput. Methods Appl. Mech. Eng. 318, 537-571 (2017). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{A. Lozovskiy} et al., Comput. Methods Appl. Mech. Eng. 318, 537--571 (2017; Zbl 1439.76086) Full Text: DOI
Uzunca, Murat; Karasözen, Bülent Energy stable model order reduction for the Allen-Cahn equation. (English) Zbl 1468.76042 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 403-419 (2017). MSC: 76M10 76T99 76M30 65M12 65M15 PDFBibTeX XMLCite \textit{M. Uzunca} and \textit{B. Karasözen}, MS\&A, Model. Simul. Appl. 17, 403--419 (2017; Zbl 1468.76042) Full Text: DOI arXiv
Manzoni, Andrea; Negri, Federico Efficient reduction of PDEs defined on domains with variable shape. (English) Zbl 1388.78020 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 183-199 (2017). MSC: 78M34 74B10 65M60 78A45 35J05 65M50 PDFBibTeX XMLCite \textit{A. Manzoni} and \textit{F. Negri}, MS\&A, Model. Simul. Appl. 17, 183--199 (2017; Zbl 1388.78020) Full Text: DOI
Billaud-Friess, Marie; Nouy, Anthony Dynamical model reduction method for solving parameter-dependent dynamical systems. (English) Zbl 1373.65091 SIAM J. Sci. Comput. 39, No. 4, A1766-A1792 (2017). MSC: 65P99 37M05 65M15 PDFBibTeX XMLCite \textit{M. Billaud-Friess} and \textit{A. Nouy}, SIAM J. Sci. Comput. 39, No. 4, A1766--A1792 (2017; Zbl 1373.65091) Full Text: DOI arXiv
Fosas de Pando, Miguel; Schmid, Peter J.; Sipp, Denis Nonlinear model-order reduction for compressible flow solvers using the discrete empirical interpolation method. (English) Zbl 1371.76103 J. Comput. Phys. 324, 194-209 (2016). MSC: 76M25 65M20 76Nxx PDFBibTeX XMLCite \textit{M. Fosas de Pando} et al., J. Comput. Phys. 324, 194--209 (2016; Zbl 1371.76103) Full Text: DOI Link
Redeker, M.; Haasdonk, B. A POD-EIM reduced two-scale model for precipitation in porous media. (English) Zbl 1348.93064 Math. Comput. Model. Dyn. Syst. 22, No. 4, 323-344 (2016). MSC: 93B11 93C20 93B40 PDFBibTeX XMLCite \textit{M. Redeker} and \textit{B. Haasdonk}, Math. Comput. Model. Dyn. Syst. 22, No. 4, 323--344 (2016; Zbl 1348.93064) Full Text: DOI
Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. (English) Zbl 1398.74053 Comput. Mech. 58, No. 2, 213-234 (2016). MSC: 74E30 74S05 74Q15 74S30 74Q05 PDFBibTeX XMLCite \textit{O. Goury} et al., Comput. Mech. 58, No. 2, 213--234 (2016; Zbl 1398.74053) Full Text: DOI
Pulch, Roland; ter Maten, E. Jan W.; Augustin, Florian Sensitivity analysis and model order reduction for random linear dynamical systems. (English) Zbl 07313360 Math. Comput. Simul. 111, 80-95 (2015). MSC: 41Axx PDFBibTeX XMLCite \textit{R. Pulch} et al., Math. Comput. Simul. 111, 80--95 (2015; Zbl 07313360) Full Text: DOI Link
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
Paul-Dubois-Taine, A.; Amsallem, D. An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models. (English) Zbl 1352.65217 Int. J. Numer. Methods Eng. 102, No. 5, 1262-1292 (2015). MSC: 65L99 PDFBibTeX XMLCite \textit{A. Paul-Dubois-Taine} and \textit{D. Amsallem}, Int. J. Numer. Methods Eng. 102, No. 5, 1262--1292 (2015; Zbl 1352.65217) Full Text: DOI
Negri, Federico; Manzoni, Andrea; Amsallem, David Efficient model reduction of parametrized systems by matrix discrete empirical interpolation. (English) Zbl 1349.65154 J. Comput. Phys. 303, 431-454 (2015). MSC: 65F99 65M20 PDFBibTeX XMLCite \textit{F. Negri} et al., J. Comput. Phys. 303, 431--454 (2015; Zbl 1349.65154) Full Text: DOI Link
Drohmann, Martin; Carlberg, Kevin The ROMES method for statistical modeling of reduced-order-model error. (English) Zbl 1322.65029 SIAM/ASA J. Uncertain. Quantif. 3, 116-145 (2015). MSC: 65C60 62J10 62J02 PDFBibTeX XMLCite \textit{M. Drohmann} and \textit{K. Carlberg}, SIAM/ASA J. Uncertain. Quantif. 3, 116--145 (2015; Zbl 1322.65029) Full Text: DOI arXiv
Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. (English) Zbl 1320.65193 SIAM J. Sci. Comput. 37, No. 2, B153-B184 (2015). MSC: 65P10 15A83 47B25 37K05 53D20 65D05 65F30 PDFBibTeX XMLCite \textit{K. Carlberg} et al., SIAM J. Sci. Comput. 37, No. 2, B153--B184 (2015; Zbl 1320.65193) Full Text: DOI arXiv