Chen, Peter Yichen; Chiaramonte, Maurizio M.; Grinspun, Eitan; Carlberg, Kevin Model reduction for the material point method via an implicit neural representation of the deformation map. (English) Zbl 07660321 J. Comput. Phys. 478, Article ID 111908, 30 p. (2023). MSC: 76Mxx 93Bxx 74Sxx PDFBibTeX XMLCite \textit{P. Y. Chen} et al., J. Comput. Phys. 478, Article ID 111908, 30 p. (2023; Zbl 07660321) Full Text: DOI arXiv
Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. (English) Zbl 1448.65057 SIAM/ASA J. Uncertain. Quantif. 7, 877-912 (2019). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65K10 65D40 65K05 90C15 65N35 65M15 65M22 PDFBibTeX XMLCite \textit{M. J. Zahr} et al., SIAM/ASA J. Uncertain. Quantif. 7, 877--912 (2019; Zbl 1448.65057) 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; 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