Kevin Carlberg

Publications

Preprints

  • K. Carlberg, L. Brencher, B. Haasdonk, and A. Barth. “Data-driven time parallelism via forecasting,” arXiv e-Print, 1610.09049 (2016). (link) (video presentation)
  • Y. Choi and K. Carlberg. “Space–time least-squares Petrov–Galerkin projection for nonlinear model reduction,” arXiv e-Print, 1703.04560 (2017). (link)
  • L. Peng and K. Carlberg. “Structure-preserving model reduction for marginally stable LTI systems,” arXiv e-Print, 1704.04009 (2017). (link)

Journal

  • K. Lee, K. Carlberg, and H. Elman. “Stochastic least-squares Petrov–Galerkin method for parameterized linear systems,” SIAM/ASA Journal on Uncertainty Quantification, accepted (2017). (link)
  • J. Tencer, K. Carlberg, M. Larsen, and R. Hogan. “Accelerated solution of discrete ordinates approximation to the Boltzmann transport equation via model reduction,” Journal of Heat Transfer, Vol. 139, No. 12, p.122701 (2017). doi: 10.1115/1.4037098 (link)
  • S. Trehan, K. Carlberg, and L. Durlofsky. “Error modeling for surrogates of dynamical systems using machine learning,” International Journal for Numerical Methods in Engineering, Vol. 112, No. 12, p. 1801–1827 (2017). (link)
  • K. Carlberg, M. Barone, and H. Antil. “Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction,” Journal of Computational Physics, Vol. 330, p. 693–734 (2017). (link) (video presentation)
  • K. Carlberg, V. Forstall, and R. Tuminaro. “Krylov-subspace recycling via the POD-augmented conjugate-gradient method,” SIAM Journal on Matrix Analysis and Applications, Vol. 37, No. 3, p.1304–1336 (2016). (link) (video presentation)
  • K. Carlberg, J. Ray, and B. van Bloemen Waanders. “Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting,” Computer Methods in Applied Mechanics and Engineering, Vol. 289, p.79–103 (2015). (link)
  • M. Drohmann and K. Carlberg. “The ROMES method for statistical modeling of reduced-order-model error,” SIAM/ASA Journal on Uncertainty Quantification, Vol. 3, No. 1, p.116–145 (2015). (link) (video presentation)
  • K. Carlberg, R. Tuminaro, and P. Boggs. “Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics,” SIAM Journal on Scientific Computing, Vol. 37, No. 2, p. B153–B184 (2015). (link) Featured article, SIAM Journal on Scientific Computing, June 2015
  • K. Carlberg. “Adaptive h-refinement for reduced-order models,” International Journal for Numerical Methods in Engineering, Vol. 102, No. 5, p.1192–1210 (2015). (link) (video presentation)
  • K. Carlberg, C. Farhat, J. Cortial, and D. Amsallam. “The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows,” Journal of Computational Physics, Vol. 242, p. 623–647 (2013). (link) (video presentation) #1 most cited JCP paper of 2013
  • K. Carlberg and C. Farhat. “A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems,” International Journal for Numerical Methods in Engineering, Vol. 86, No. 3, p. 381–402 (2011). (link)
  • K. Carlberg, C. Bou-Mosleh, and C. Farhat. “Efficient non-linear model reduction via a least-squares Petrov–Galerkin projection and compressive tensor approximations,” International Journal for Numerical Methods in Engineering, Vol. 86, No. 2, p. 155–181 (2011). (link) #2 most cited IJNME paper of 2011
  • D. Amsallem, J. Cortial, K. Carlberg and C. Farhat. “A method for interpolating on manifolds structural dynamics reduced-order models,” International Journal for Numerical Methods in Engineering, Vol. 80, No. 9, p. 1241–1257 (2009). (link)

Conference (refereed)

  • J. Tencer, K. Carlberg, R. Hogan, and M. Larsen. “Reduced order modeling applied to the discrete ordinates method for radiation heat transfer in participating media,” HT 2016-7010, ASME 2016 Summer Heat Transfer Conference, Washington, DC, July 10–14, 2016. (paper)
  • K. Carlberg, R. Tuminaro, and P. Boggs. “Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics,” AIAA Paper 2012-1969, 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Honolulu, Hawaii, April 23–26, 2012. (paper) (slides)
  • K. Carlberg, J. Cortial, D. Amsallem, M. Zahr, and C. Farhat. “The GNAT nonlinear model reduction method and its application to fluid dynamics problems,” AIAA Paper 2011-3112, 6th AIAA Theoretical Fluid Mechanics Conference, Honolulu, Hawaii, June 27–30, 2011.(paper) (slides)
  • R. Stephan and K. Carlberg, “Gappy data reconstruction and applications in archaeology,” Proceedings of XXXVIII Conference on Computer Applications & Quantitative Methods in Archaeology, Granada, Spain, April 6–9, 2010. (paper) (slides)
  • K. Carlberg and C. Farhat. “An adaptive POD-Krylov reduced-order model for structural optimization,” Proceedings of 8th World Congress on Structural and Multidisciplinary Optimization, Lisbon, Portugal, June 1–5, 2009. (paper)
  • K. Carlberg and C. Farhat. “A compact proper orthogonal decomposition basis for optimization-oriented reduced-order models,” AIAA Paper 2008-5964, 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, Canada, September 10–12, 2008. (paper)

Thesis

  • K. Carlberg. Model Reduction of Nonlinear Mechanical Systems via Optimal Projection and Tensor Approximation, PhD thesis, Stanford University, 2011. (link)