Katsouleas, Georgios; Karatzas, Efthymios N.; Travlopanos, Fotios Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization. (English) Zbl 07702620 Optimization 72, No. 6, 1609-1642 (2023). MSC: 65-XX 90Cxx 49-XX PDFBibTeX XMLCite \textit{G. Katsouleas} et al., Optimization 72, No. 6, 1609--1642 (2023; Zbl 07702620) Full Text: DOI arXiv
Koc, Birgul; Chacón Rebollo, Tomás; Rubino, Samuele Uniform bounds with difference quotients for proper orthogonal decomposition reduced order models of the Burgers equation. (English) Zbl 07698917 J. Sci. Comput. 95, No. 2, Paper No. 43, 27 p. (2023). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{B. Koc} et al., J. Sci. Comput. 95, No. 2, Paper No. 43, 27 p. (2023; Zbl 07698917) Full Text: DOI arXiv
Tran, Quyen; Antil, Harbir; Díaz, Hugo Optimal control of parameterized stationary Maxwell’s system: reduced basis, convergence analysis, and a posteriori error estimates. (English) Zbl 1512.35570 Math. Control Relat. Fields 13, No. 1, 431-449 (2023). MSC: 35Q61 35Q93 65M60 65M12 65K10 49M25 PDFBibTeX XMLCite \textit{Q. Tran} et al., Math. Control Relat. Fields 13, No. 1, 431--449 (2023; Zbl 1512.35570) Full Text: DOI
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
Barnett, Joshua; Farhat, Charbel Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction. (English) Zbl 07540375 J. Comput. Phys. 464, Article ID 111348, 20 p. (2022). MSC: 65Nxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{J. Barnett} and \textit{C. Farhat}, J. Comput. Phys. 464, Article ID 111348, 20 p. (2022; Zbl 07540375) Full Text: DOI arXiv
Ullmann, Rupert; Sicklinger, Stefan; Müller, Gerhard Optimization-based parametric model order reduction for the application to the frequency-domain analysis of complex systems. (English) Zbl 1480.93066 Benner, Peter (ed.) et al., Model reduction of complex dynamical systems. Selected papers based on the presentations at the workshop, University of Graz, Graz, Austria, August 28–30, 2019. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 171, 165-189 (2021). MSC: 93B11 93C80 93C05 90C20 PDFBibTeX XMLCite \textit{R. Ullmann} et al., ISNM, Int. Ser. Numer. Math. 171, 165--189 (2021; Zbl 1480.93066) Full Text: DOI
Tolle, Kevin; Marheineke, Nicole Extended group finite element method. (English) Zbl 1461.65253 Appl. Numer. Math. 162, 1-19 (2021). MSC: 65N30 35J60 65D05 PDFBibTeX XMLCite \textit{K. Tolle} and \textit{N. Marheineke}, Appl. Numer. Math. 162, 1--19 (2021; Zbl 1461.65253) Full Text: DOI arXiv
Akman Yıldız, Tuğba; Uzunca, Murat; Karasözen, Bülent Structure preserving reduced order modeling for gradient systems. (English) Zbl 1429.65223 Appl. Math. Comput. 347, 194-209 (2019). MSC: 65M60 65P10 PDFBibTeX XMLCite \textit{T. Akman Yıldız} et al., Appl. Math. Comput. 347, 194--209 (2019; Zbl 1429.65223) Full Text: DOI arXiv
Manzoni, Andrea; Pagani, Stefano A certified RB method for PDE-constrained parametric optimization problems. (English) Zbl 1422.49007 Commun. Appl. Ind. Math. 10, No. 1, 123-152 (2019). MSC: 49J20 65K10 65M15 65M60 65N12 93C20 PDFBibTeX XMLCite \textit{A. Manzoni} and \textit{S. Pagani}, Commun. Appl. Ind. Math. 10, No. 1, 123--152 (2019; Zbl 1422.49007) Full Text: DOI
Karasözen, Bülent; Uzunca, Murat Energy preserving model order reduction of the nonlinear Schrödinger equation. (English) Zbl 1404.65310 Adv. Comput. Math. 44, No. 6, 1769-1796 (2018). MSC: 65P10 65M60 35Q55 37M15 93A15 PDFBibTeX XMLCite \textit{B. Karasözen} and \textit{M. Uzunca}, Adv. Comput. Math. 44, No. 6, 1769--1796 (2018; Zbl 1404.65310) 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
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
Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. (English) Zbl 1387.35353 Ann. Oper. Res. 258, No. 1, 79-106 (2017). MSC: 35K57 65M60 35B36 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Ann. Oper. Res. 258, No. 1, 79--106 (2017; Zbl 1387.35353) Full Text: DOI arXiv
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba Model order reduction for pattern formation in Fitzhugh-Nagumo equations. (English) Zbl 1352.65303 Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 369-377 (2016). MSC: 65M20 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Lect. Notes Comput. Sci. Eng. 112, 369--377 (2016; Zbl 1352.65303) Full Text: DOI arXiv
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
Elman, Howard C.; Forstall, Virginia Preconditioning techniques for reduced basis methods for parameterized elliptic partial differential equations. (English) Zbl 1457.65174 SIAM J. Sci. Comput. 37, No. 5, S177-S194 (2015). MSC: 65N22 65F08 65F10 PDFBibTeX XMLCite \textit{H. C. Elman} and \textit{V. Forstall}, SIAM J. Sci. Comput. 37, No. 5, S177--S194 (2015; Zbl 1457.65174) Full Text: DOI Link