Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C. Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. (English) Zbl 1312.65180 Quarteroni, Alfio (ed.) et al., Reduced order methods for modeling and computational reduction. Cham: Springer (ISBN 978-3-319-02089-1/hbk; 978-3-319-02090-7/ebook). MS&A. Modeling, Simulation and Applications 9, 101-136 (2014). MSC: 65N30 35J61 PDFBibTeX XMLCite \textit{H. Antil} et al., MS\&A, Model. Simul. Appl. 9, 101--136 (2014; Zbl 1312.65180) Full Text: DOI
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. (English) Zbl 1220.65074 Comput. Vis. Sci. 13, No. 6, 249-264 (2010). MSC: 65K10 49J20 49M27 49Q10 PDFBibTeX XMLCite \textit{H. Antil} et al., Comput. Vis. Sci. 13, No. 6, 249--264 (2010; Zbl 1220.65074) Full Text: DOI Link
Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. (English) Zbl 1216.76015 SIAM J. Sci. Comput. 30, No. 2, 1038-1063 (2008). MSC: 76D05 37N10 76D55 15A24 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., SIAM J. Sci. Comput. 30, No. 2, 1038--1063 (2008; Zbl 1216.76015) Full Text: DOI Link
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. Domain decomposition and model reduction of systems with local nonlinearities. (English) Zbl 1157.65445 Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 389-396 (2008). MSC: 65M55 35K55 65M15 65M60 PDFBibTeX XMLCite \textit{K. Sun} et al., in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10--14, 2007. Berlin: Springer. 389--396 (2008; Zbl 1157.65445) Full Text: DOI