Thesis

  • M. J. Zahr, Adaptive model reduction to accelerate optimization problems governed by partial differential equations. PhD thesis, Stanford University, August 2016. [ bib | thesis ]

Journal papers

  • M. J. Zahr, P. Avery, and C. Farhat, “A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics,” International Journal for Numerical Methods in Engineering, 2017. [ bib | DOI | link ]

  • M. J. Zahr and C. Farhat, “Progressive construction of a parametric reduced-order model for PDE-constrained optimization,” International Journal for Numerical Methods in Engineering, vol. 102, no. 5, pp. 1111--1135, 2015. [ bib | DOI | link | arxiv ]

  • D. Amsallem, M. J. Zahr, and K. Washabaugh, “Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction,” Advances in Computational Mathematics, pp. 1--44, 2015. [ bib | DOI | link ]

  • D. Amsallem, M. J. Zahr, Y. Choi, and C. Farhat, “Design optimization using hyper-reduced-order models,” Structural and Multidisciplinary Optimization, pp. 1--22, 2014. [ bib | DOI | link ]

  • D. Amsallem, M. J. Zahr, and C. Farhat, “Nonlinear model order reduction based on local reduced-order bases,” International Journal for Numerical Methods in Engineering, vol. 92, no. 10, pp. 891--916, 2012. [ bib | DOI | link ]

Conference papers

  • K. Washabaugh, M. J. Zahr, and C. Farhat, “On the use of discrete nonlinear reduced-order models for the prediction of steady-state flows past parametrically deformed complex geometries,” in AIAA Science and Technology Forum and Exposition (SciTech 2016), (San Diego, California), 1/4/2016 -- 1/8/2016. [ bib | link ]

  • M. J. Zahr, D. Amsallem, and C. Farhat, “Construction of parametrically-robust CFD-based reduced-order models for PDE-constrained optimization,” in Proc. of the 21st AIAA Computational Fluid Dynamics Conference, vol. AIAA-2013-2685, American Institute of Aeronautics and Astronautics, 6/24/2013 -- 6/27/2013. [ bib | link | paper ]

  • K. Washabaugh, D. Amsallem, M. J. Zahr, and C. Farhat, “Nonlinear model reduction for CFD problems using local reduced-order bases,” in 42nd AIAA Fluid Dynamics Conference and Exhibit, Fluid Dynamics and Co-located Conferences, vol. 2686, 6/25/2012 -- 6/28/2012. [ bib | link | paper ]

Technical reports

  • M. J. Zahr, K. Carlberg, D. Amsallem, and C. Farhat, “Comparison of model reduction techniques on high-fidelity linear and nonlinear electrical, mechanical, and biological systems,” tech. rep., University of California, Berkeley, 2010. [ bib | paper ]