Aguado, José V.; Borzacchiello, Domenico; Kollepara, Kiran S.; Chinesta, Francisco; Huerta, Antonio Tensor representation of non-linear models using cross approximations. (English) Zbl 1484.65084 J. Sci. Comput. 81, No. 1, 22-47 (2019). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{J. V. Aguado} et al., J. Sci. Comput. 81, No. 1, 22--47 (2019; Zbl 1484.65084) Full Text: DOI HAL
Ibáñez, Rubén; Abisset-Chavanne, Emmanuelle; Ammar, Amine; González, David; Cueto, Elías; Huerta, Antonio; Duval, Jean Louis; Chinesta, Francisco A multidimensional data-driven sparse identification technique: the sparse proper generalized decomposition. (English) Zbl 1407.93063 Complexity 2018, Article ID 5608286, 11 p. (2018). MSC: 93A15 93E12 93B35 PDFBibTeX XMLCite \textit{R. Ibáñez} et al., Complexity 2018, Article ID 5608286, 11 p. (2018; Zbl 1407.93063) Full Text: DOI
Aguado, José V.; Huerta, Antonio; Chinesta, Francisco; Cueto, Elías Real-time monitoring of thermal processes by reduced-order modeling. (English) Zbl 1352.80002 Int. J. Numer. Methods Eng. 102, No. 5, 991-1017 (2015). MSC: 80A20 35K20 35A08 35Q79 65M80 65N21 80M25 PDFBibTeX XMLCite \textit{J. V. Aguado} et al., Int. J. Numer. Methods Eng. 102, No. 5, 991--1017 (2015; Zbl 1352.80002) Full Text: DOI Link
Chinesta, Francisco; Cueto, Elías; Huerta, Antonio PGD for solving multidimensional and parametric models. (English) Zbl 1312.93023 Chinesta, Francisco (ed.) et al., Separated representations and PGD-based model reduction. Fundamentals and applications. Papers based on the presentations at the course. Wien: Springer (ISBN 978-3-7091-1793-4/hbk; 978-3-7091-1794-1/ebook). CISM Courses and Lectures 554, 27-89 (2014). MSC: 93B11 70Q05 PDFBibTeX XMLCite \textit{F. Chinesta} et al., in: Separated representations and PGD-based model reduction. Fundamentals and applications. Papers based on the presentations at the course. Wien: Springer. 27--89 (2014; Zbl 1312.93023) Full Text: DOI
Cueto, Elías; Chinesta, Francisco; Huerta, Antonio Model order reduction based on proper orthogonal decomposition. (English) Zbl 1312.93024 Chinesta, Francisco (ed.) et al., Separated representations and PGD-based model reduction. Fundamentals and applications. Papers based on the presentations at the course. Wien: Springer (ISBN 978-3-7091-1793-4/hbk; 978-3-7091-1794-1/ebook). CISM Courses and Lectures 554, 1-26 (2014). MSC: 93B11 93C20 PDFBibTeX XMLCite \textit{E. Cueto} et al., in: Separated representations and PGD-based model reduction. Fundamentals and applications. Papers based on the presentations at the course. Wien: Springer. 1--26 (2014; Zbl 1312.93024) Full Text: DOI
Ammar, Amine; Huerta, Antonio; Chinesta, Francisco; Cueto, Elías; Leygue, Adrien Parametric solutions involving geometry: a step towards efficient shape optimization. (English) Zbl 1295.74080 Comput. Methods Appl. Mech. Eng. 268, 178-193 (2014). MSC: 74P15 65N30 PDFBibTeX XMLCite \textit{A. Ammar} et al., Comput. Methods Appl. Mech. Eng. 268, 178--193 (2014; Zbl 1295.74080) Full Text: DOI HAL
Chinesta, F.; Leygue, A.; Bordeu, F.; Aguado, J. V.; Cueto, E.; Gonzalez, D.; Alfaro, I.; Ammar, A.; Huerta, A. PGD-based computational vademecum for efficient design, optimization and control. (English) Zbl 1354.65100 Arch. Comput. Methods Eng. 20, No. 1, 31-59 (2013). MSC: 65J05 PDFBibTeX XMLCite \textit{F. Chinesta} et al., Arch. Comput. Methods Eng. 20, No. 1, 31--59 (2013; Zbl 1354.65100) Full Text: DOI
González, David; Cueto, Elías; Chinesta, Francisco; Díez, Pedro; Huerta, Antonio Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations. (English) Zbl 1352.76053 Int. J. Numer. Methods Eng. 94, No. 13, 1216-1232 (2013). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{D. González} et al., Int. J. Numer. Methods Eng. 94, No. 13, 1216--1232 (2013; Zbl 1352.76053) Full Text: DOI HAL
Ammar, A.; Chinesta, F.; Diez, P.; Huerta, A. An error estimator for separated representations of highly multidimensional models. (English) Zbl 1231.74503 Comput. Methods Appl. Mech. Eng. 199, No. 25-28, 1872-1880 (2010). MSC: 74S99 76M99 65N15 00A71 PDFBibTeX XMLCite \textit{A. Ammar} et al., Comput. Methods Appl. Mech. Eng. 199, No. 25--28, 1872--1880 (2010; Zbl 1231.74503) Full Text: DOI Link