Joseph Benzaken
Alumnus - Graduate Research Assistant - PhD
Applied Mathematics

Biography

Dr. Joseph Benzaken was a Ph.D. Student in the Department of Applied Mathematics at the University of Colorado Boulder. Dr. Benzaken graduated in Summer 2018, and his dissertation focused on the quantification, propagation, and control of geometric uncertainty. Prior to coming to Boulder, Dr. Benzaken received his B.S. in Applied Mathematics, B.S. in Aerospace Engineering, and B.A. in Physics from the California State University, Long Beach in 2013. Dr. Benzaken is currently a Research Scientist at Freeform.

CMGLab Publications

  1. J. Benzaken, A. Doostan, and J.A. Evans, "Physics-based tolerance allocation: A surrogate-based framework for the control of geometric variation on system performance." Submitted for publication.
  2. J. Benzaken, J.A. Evans, and R. Tamstorf, "Constructing Nitsche's method for variational problems." Archives of Computational Methods in Engineering, in press.
  3. J. Benzaken, J.A. Evans, S. McCormick, and R. Tamstorf, Nitsche's method for linear Kirchhoff-Love shells: Formulation, error analysis, and verification." Computer Methods in Applied Mechanics and Engineering, 374:113544, 2021.
  4. F. de Prenter, C.V. Verhoosel, E.H. van Brummelen, J.A. Evans, C. Messe, J. Benzaken, and K. Maute, "Multigrid solvers for immersed finite element methods and immersed isogeometric analysis." Computational Mechanics, 65:807-838, 2020.
  5. C. Coley, J. Benzaken, and J.A. Evans, "A geometric multigrid method for isogeometric compatible discretizations of the generalized Stokes and Oseen problems." Numerical Linear Algebra with Applications, 25:e2145, 2018.
  6. J. Benzaken, A.J. Herrema, M.-C. Hsu, and J.A. Evans, "A rapid and efficient isogeometric design space exploration framework with application to structural mechanics." Computer Methods in Applied Mechanics and Engineering, 316:1215-1256, 2017.
  7. J.A. Evans, I. Babuska, Y. Bazilevs, J. Benzaken, J. Chan, and T.J.R. Hughes, "Optimality and approximation: A quantitative assessment of the approximation properties of spline, polynomial, and Fourier bases." Mini-Workshop: Mathematical Foundations of Isogeometric Analysis, Oberwolfach, Germany, 2016.