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Matthew Zahr

Matthew J. Zahr

Email: mzahr@nd.edu

Phone: 000-000-0000

Office: Fitzpatrick Hall

Education

Ph.D., Computational and Mathematical Engineering, Stanford University, September 2016

M.S., Computational and Mathematical Engineering, Stanford University, May 2016

B.S., Civil and Environmental Engineering, University of California, Berkeley, May 2011

Biography

Dr. Zahr will join the Department of Aerospace and Mechanical Engineering at Notre Dame in the fall 2018. From 2016-2018, he was the Luis W. Alvarez Postdoctoral Fellow in the Department of Mathematics at the Lawrence Berkeley National Laboratory and University of California, Berkeley. He received his PhD in Computational and Mathematical Engineering from Stanford University in 2016 and his BSc in Civil and Environmental Engineering at the University of California, Berkeley in 2011. His research interests include high-order methods for computational physics, PDE-constrained optimization, model reduction, computational methods for handling shocks and discontinuities, and multiscale methods.

Summary of Activities/Interests

Research Interests

Model reduction, finite element and discontinuous Galerkin methods, high-order discretizations, numerical methods for handling shocks and other discontinuities, topology optimization, PDE-constrained optimization, multiphysics and multiscale problems, and uncertainty quantification.

Selected publications

  • M. J. Zahr and P.-O. Persson, “An optimization-based discontinuous Galerkin approach for high-order accurate shock tracking,” in AIAA Science and Technology Forum and Exposition (SciTech2018), (Kissimmee, Florida), American Institute of Aeronautics and Astronautics, 1/8/2018 -- 1/12/2018.
  • M. J. Zahr and P.-O. Persson, “An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions,” Journal of Computational Physics, in review 2018.
  • J. Wang, M. J. Zahr, and P.-O. Persson, “Energetically optimal flapping flight based on a fully discrete adjoint method with explicit treatment of flapping frequency,” in Proc. of the 23rd AIAA Computational Fluid Dynamics Conference, (Denver, Colorado), American Institute of Aeronautics and Astronautics, 6/5/2017 -- 6/9/2017.
  • 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.
  • M. J. Zahr, P.-O. Persson, and J. Wilkening, “A fully discrete adjoint method for optimization of flow problems on deforming domains with time-periodicity constraints,” Computers & Fluids, 2016.
  • M. J. Zahr and P.-O. Persson, “An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems,” Journal of Computational Physics, vol. 326, no. Supplement C, pp. 516 -- 543, 2016.
  • 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.