Lindsay, Payton; Fike, Jeffrey; Tezaur, Irina; Carlberg, Kevin Preconditioned least-squares Petrov-Galerkin reduced order models. (English) Zbl 07769311 Int. J. Numer. Methods Eng. 123, No. 20, 4809-4843 (2022). MSC: 65Fxx 65Mxx 65Lxx PDFBibTeX XMLCite \textit{P. Lindsay} et al., Int. J. Numer. Methods Eng. 123, No. 20, 4809--4843 (2022; Zbl 07769311) Full Text: DOI arXiv
Rodriguez, Steven N.; Iliopoulos, Athanasios P.; Carlberg, Kevin T.; Brunton, Steven L.; Steuben, John C.; Michopoulos, John G. Projection-tree reduced-order modeling for fast \(N\)-body computations. (English) Zbl 07525132 J. Comput. Phys. 459, Article ID 111141, 33 p. (2022). MSC: 76Mxx 65Nxx 65Pxx PDFBibTeX XMLCite \textit{S. N. Rodriguez} et al., J. Comput. Phys. 459, Article ID 111141, 33 p. (2022; Zbl 07525132) Full Text: DOI arXiv
Hoang, Chi; Choi, Youngsoo; Carlberg, Kevin Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction. (English) Zbl 1507.65242 Comput. Methods Appl. Mech. Eng. 384, Article ID 113997, 41 p. (2021). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{C. Hoang} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113997, 41 p. (2021; Zbl 1507.65242) Full Text: DOI arXiv
Etter, Philip A.; Carlberg, Kevin T. Online adaptive basis refinement and compression for reduced-order models via vector-space sieving. (English) Zbl 1442.65338 Comput. Methods Appl. Mech. Eng. 364, Article ID 112931, 54 p. (2020). MSC: 65N22 PDFBibTeX XMLCite \textit{P. A. Etter} and \textit{K. T. Carlberg}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112931, 54 p. (2020; Zbl 1442.65338) Full Text: DOI arXiv
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
Carlberg, Kevin; Brencher, Lukas; Haasdonk, Bernard; Barth, Andrea Data-driven time parallelism via forecasting. (English) Zbl 07099294 SIAM J. Sci. Comput. 41, No. 3, B466-B496 (2019). MSC: 65B99 65D30 65L05 65L06 65L20 65M12 65M55 65Y05 PDFBibTeX XMLCite \textit{K. Carlberg} et al., SIAM J. Sci. Comput. 41, No. 3, B466--B496 (2019; Zbl 07099294) Full Text: DOI arXiv
Choi, Youngsoo; Carlberg, Kevin Space-time least-squares Petrov-Galerkin projection for nonlinear model reduction. (English) Zbl 1405.65140 SIAM J. Sci. Comput. 41, No. 1, A26-A58 (2019). MSC: 65M99 65L05 65L06 65L60 65M15 65M60 76M25 PDFBibTeX XMLCite \textit{Y. Choi} and \textit{K. Carlberg}, SIAM J. Sci. Comput. 41, No. 1, A26--A58 (2019; Zbl 1405.65140) Full Text: DOI arXiv
Carlberg, Kevin; Choi, Youngsoo; Sargsyan, Syuzanna Conservative model reduction for finite-volume models. (English) Zbl 1415.65208 J. Comput. Phys. 371, 280-314 (2018). MSC: 65M08 35L65 65K10 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 371, 280--314 (2018; Zbl 1415.65208) Full Text: DOI arXiv
Carlberg, Kevin; Barone, Matthew; Antil, Harbir Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. (English) Zbl 1378.65145 J. Comput. Phys. 330, 693-734 (2017). MSC: 65L05 65L60 76M25 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 330, 693--734 (2017; Zbl 1378.65145) Full Text: DOI arXiv
Carlberg, Kevin; Ray, Jaideep; van Bloemen Waanders, Bart Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting. (English) Zbl 1425.65073 Comput. Methods Appl. Mech. Eng. 289, 79-103 (2015). MSC: 65L05 PDFBibTeX XMLCite \textit{K. Carlberg} et al., Comput. Methods Appl. Mech. Eng. 289, 79--103 (2015; Zbl 1425.65073) Full Text: DOI arXiv
Carlberg, Kevin Adaptive \(h\)-refinement for reduced-order models. (English) Zbl 1352.65136 Int. J. Numer. Methods Eng. 102, No. 5, 1192-1210 (2015). MSC: 65F99 35Q53 PDFBibTeX XMLCite \textit{K. Carlberg}, Int. J. Numer. Methods Eng. 102, No. 5, 1192--1210 (2015; Zbl 1352.65136) Full Text: DOI arXiv
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
Carlberg, Kevin; Farhat, Charbel; Cortial, Julien; Amsallem, David The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows. (English) Zbl 1299.76180 J. Comput. Phys. 242, 623-647 (2013); corrigendum ibid. 250, 713 (2013). MSC: 76M25 76M10 PDFBibTeX XMLCite \textit{K. Carlberg} et al., J. Comput. Phys. 242, 623--647 (2013; Zbl 1299.76180) Full Text: DOI arXiv
Carlberg, Kevin; Farhat, Charbel A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. (English) Zbl 1235.74352 Int. J. Numer. Methods Eng. 86, No. 3, 381-402 (2011). MSC: 74S30 74F10 PDFBibTeX XMLCite \textit{K. Carlberg} and \textit{C. Farhat}, Int. J. Numer. Methods Eng. 86, No. 3, 381--402 (2011; Zbl 1235.74352) Full Text: DOI