Zappon, Elena; Manzoni, Andrea; Gervasio, Paola; Quarteroni, Alfio A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 07818687 J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024). MSC: 65N55 65N30 65D05 65N12 35J15 35K57 35K05 65M06 PDFBibTeX XMLCite \textit{E. Zappon} et al., J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024; Zbl 07818687) Full Text: DOI arXiv
Diaz, Alejandro N.; Heinkenschloss, Matthias; Gosea, Ion Victor; Antoulas, Athanasios C. Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs. (English) Zbl 07785141 Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023). MSC: 65P99 PDFBibTeX XMLCite \textit{A. N. Diaz} et al., Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023; Zbl 07785141) Full Text: DOI
Garmatter, Dominik; Porcelli, Margherita; Rinaldi, Francesco; Stoll, Martin An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations. (English) Zbl 1510.90190 Comput. Optim. Appl. 84, No. 1, 191-223 (2023). MSC: 90C11 90C51 34C20 90C06 93C20 PDFBibTeX XMLCite \textit{D. Garmatter} et al., Comput. Optim. Appl. 84, No. 1, 191--223 (2023; Zbl 1510.90190) Full Text: DOI arXiv
Stoter, Stein K. F.; Jessen, Etienne; Niedens, Viktor; Schillinger, Dominik A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces. (English) Zbl 1502.86003 Comput. Geosci. 26, No. 6, 1465-1502 (2022). MSC: 86-10 86A32 76S05 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Geosci. 26, No. 6, 1465--1502 (2022; Zbl 1502.86003) Full Text: DOI arXiv
Heinkenschloss, Matthias; Magruder, Caleb Reduced order model Hessian approximations in Newton methods for optimal control. (English) Zbl 1504.93041 Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 335-351 (2022). MSC: 93B11 93A15 49M15 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{C. Magruder}, in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 335--351 (2022; Zbl 1504.93041) Full Text: DOI
D’Amore, Luisa; Constantinescu, Emil; Carracciuolo, Luisa A scalable space-time domain decomposition approach for solving large scale nonlinear regularized inverse ill posed problems in 4D variational data assimilation. (English) Zbl 1494.90048 J. Sci. Comput. 91, No. 2, Paper No. 59, 31 p. (2022). MSC: 90C06 90C90 PDFBibTeX XMLCite \textit{L. D'Amore} et al., J. Sci. Comput. 91, No. 2, Paper No. 59, 31 p. (2022; Zbl 1494.90048) Full Text: DOI arXiv
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
D’Amore, Luisa; Cacciapuoti, R. Model reduction in space and time for ab initio decomposition of 4D variational data assimilation problems. (English) Zbl 1462.65136 Appl. Numer. Math. 160, 242-264 (2021). MSC: 65M55 65M12 65M15 76B15 65Y05 35B65 35Q35 PDFBibTeX XMLCite \textit{L. D'Amore} and \textit{R. Cacciapuoti}, Appl. Numer. Math. 160, 242--264 (2021; Zbl 1462.65136) 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
Guan, Hongbo; Wang, Yong; Zhu, Huiqing Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs. (English) Zbl 1472.49046 Appl. Math. Lett. 98, 438-445 (2019). MSC: 49K20 49M25 35Q93 65N35 PDFBibTeX XMLCite \textit{H. Guan} et al., Appl. Math. Lett. 98, 438--445 (2019; Zbl 1472.49046) Full Text: DOI
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
Ballani, J.; Huynh, D. B. P.; Knezevic, D. J.; Nguyen, L.; Patera, A. T. A component-based hybrid reduced basis/finite element method for solid mechanics with local nonlinearities. (English) Zbl 1439.74387 Comput. Methods Appl. Mech. Eng. 329, 498-531 (2018). MSC: 74S05 65N30 74A50 PDFBibTeX XMLCite \textit{J. Ballani} et al., Comput. Methods Appl. Mech. Eng. 329, 498--531 (2018; Zbl 1439.74387) Full Text: DOI
Heinkenschloss, Matthias; Jando, Dörte Reduced order modeling for time-dependent optimization problems with initial value controls. (English) Zbl 1386.49041 SIAM J. Sci. Comput. 40, No. 1, A22-A51 (2018). MSC: 49M05 65F10 65F15 93A15 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Jando}, SIAM J. Sci. Comput. 40, No. 1, A22--A51 (2018; Zbl 1386.49041) Full Text: DOI
Kheriji, Walid; Efendiev, Yalchin; Calo, Victor Manuel; Gildin, Eduardo Model reduction for coupled near-well and reservoir models using multiple space-time discretizations. (English) Zbl 1461.76346 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, 471-490 (2017). MSC: 76M12 76S05 86A05 PDFBibTeX XMLCite \textit{W. Kheriji} et al., MS\&A, Model. Simul. Appl. 17, 471--490 (2017; Zbl 1461.76346) Full Text: DOI
Wang, Zhu; McBee, Brian; Iliescu, Traian Approximate partitioned method of snapshots for POD. (English) Zbl 1382.65108 J. Comput. Appl. Math. 307, 374-384 (2016). MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Appl. Math. 307, 374--384 (2016; Zbl 1382.65108) Full Text: DOI
Dihlmann, Markus A.; Haasdonk, Bernard Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems. (English) Zbl 1319.49046 Comput. Optim. Appl. 60, No. 3, 753-787 (2015). MSC: 49M30 49M25 49J20 49K20 PDFBibTeX XMLCite \textit{M. A. Dihlmann} and \textit{B. Haasdonk}, Comput. Optim. Appl. 60, No. 3, 753--787 (2015; Zbl 1319.49046) 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
Baiges, Joan; Codina, Ramon; Idelsohn, Sergio A domain decomposition strategy for reduced order models. Application to the incompressible Navier-Stokes equations. (English) Zbl 1286.76028 Comput. Methods Appl. Mech. Eng. 267, 23-42 (2013). MSC: 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{J. Baiges} et al., Comput. Methods Appl. Mech. Eng. 267, 23--42 (2013; Zbl 1286.76028) Full Text: DOI
Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim Projection based model reduction for optimal design of the time-dependent Stokes system. (English) Zbl 1356.65156 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 75-98 (2012). MSC: 65K10 49M05 49M15 93A15 65M55 65M60 76Z99 90C06 PDFBibTeX XMLCite \textit{T. Franke} et al., ISNM, Int. Ser. Numer. Math. 160, 75--98 (2012; Zbl 1356.65156) Full Text: DOI Link
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. (English) Zbl 1252.76099 Math. Comput. Simul. 82, No. 10, 1986-2003 (2012). MSC: 76Z99 49M05 65K10 65M55 65M60 90C06 PDFBibTeX XMLCite \textit{H. Antil} et al., Math. Comput. Simul. 82, No. 10, 1986--2003 (2012; Zbl 1252.76099) Full Text: DOI
Heinkenschloss, M.; Reis, T.; Antoulas, A. C. Balanced truncation model reduction for systems with inhomogeneous initial conditions. (English) Zbl 1216.93018 Automatica 47, No. 3, 559-564 (2011). MSC: 93B05 93B07 93C15 93B11 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., Automatica 47, No. 3, 559--564 (2011; Zbl 1216.93018) Full Text: DOI