Keil, Tim; Ohlberger, Mario A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. (English) Zbl 07799052 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79-105 (2024). MSC: 90Cxx 35J20 65N15 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79--105 (2024; Zbl 07799052) Full Text: DOI arXiv
Giuliani, Nicola; Hess, Martin W.; Desimone, Antonio; Rozza, Gianluigi MicroROM: an efficient and accurate reduced order method to solve many-query problems in micro-motility. (English) Zbl 1498.65212 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1151-1172 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 76D07 65N99 49Q10 PDFBibTeX XMLCite \textit{N. Giuliani} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1151--1172 (2022; Zbl 1498.65212) Full Text: DOI arXiv
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. (English) Zbl 1492.37073 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617-650 (2022). MSC: 37M15 37N30 65P10 78M34 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617--650 (2022; Zbl 1492.37073) Full Text: DOI arXiv
Leibner, Tobias; Ohlberger, Mario A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. (English) Zbl 07477255 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567-2608 (2021). MSC: 65-XX 35L40 35F61 65M08 65M70 82C70 PDFBibTeX XMLCite \textit{T. Leibner} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567--2608 (2021; Zbl 07477255) Full Text: DOI arXiv
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1527.90221 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239-1269 (2021). MSC: 90C30 35J20 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239--1269 (2021; Zbl 1527.90221) Full Text: DOI arXiv
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
Feng, Lihong; Benner, Peter On error estimation for reduced-order modeling of linear non-parametric and parametric systems. (English) Zbl 1480.37086 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561-594 (2021). Reviewer: Hendrik Ranocha (Hamburg) MSC: 37M05 65P99 65L80 49Q12 PDFBibTeX XMLCite \textit{L. Feng} and \textit{P. Benner}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561--594 (2021; Zbl 1480.37086) Full Text: DOI arXiv
Black, Felix; Schulze, Philipp; Unger, Benjamin Projection-based model reduction with dynamically transformed modes. (English) Zbl 1470.35276 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2011-2043 (2020). MSC: 35Q35 37L65 65M60 65M99 65M06 65N06 65M15 65K10 PDFBibTeX XMLCite \textit{F. Black} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2011--2043 (2020; Zbl 1470.35276) Full Text: DOI arXiv
Casenave, Fabien; Akkari, Nissrine; Charles, Alexandre; Rey, Christian Nonintrusive approximation of parametrized limits of matrix power algorithms – application to matrix inverses and log-determinants. (English) Zbl 1416.65111 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 219-248 (2019). MSC: 65F30 65D05 PDFBibTeX XMLCite \textit{F. Casenave} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 1, 219--248 (2019; Zbl 1416.65111) Full Text: DOI arXiv
Janon, Alexandre; Nodet, Maëlle; Prieur, Christophe; Prieur, Clémentine Goal-oriented error estimation for parameter-dependent nonlinear problems. (English) Zbl 1401.49040 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 705-728 (2018). MSC: 49M30 49M25 62F12 65C20 82C80 35Q53 90C15 PDFBibTeX XMLCite \textit{A. Janon} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 2, 705--728 (2018; Zbl 1401.49040) Full Text: DOI
Henríquez, Fernando Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation. (English) Zbl 1404.65148 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 659-703 (2018). MSC: 65M38 65M12 65R20 92C20 92C37 35Q92 78A70 PDFBibTeX XMLCite \textit{F. Henríquez}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 659--703 (2018; Zbl 1404.65148) Full Text: DOI
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky An interior penalty method with \(C^{0}\) finite elements for the approximation of the Maxwell equations in heterogeneous media: convergence analysis with minimal regularity. (English) Zbl 1352.78014 ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1457-1489 (2016). MSC: 78M10 65N25 65F15 35Q60 65N30 65N12 PDFBibTeX XMLCite \textit{A. Bonito} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1457--1489 (2016; Zbl 1352.78014) Full Text: DOI
Yano, Masayuki A minimum-residual mixed reduced basis method: exact residual certification and simultaneous finite-element reduced-basis refinement. (English) Zbl 1335.65095 ESAIM, Math. Model. Numer. Anal. 50, No. 1, 163-185 (2016). MSC: 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{M. Yano}, ESAIM, Math. Model. Numer. Anal. 50, No. 1, 163--185 (2016; Zbl 1335.65095) Full Text: DOI Link