Alumnus - Graduate Research Assistant - PhD
Applied Mathematics
Biography
Dr. Joseph Benzaken was a Ph.D. Student in the Department of Applied Mathematics at the Â鶹¹ÙÍø. Dr. Benzaken graduated in Summer 2018, and his dissertation focused on the quantification, propagation, and control of geometric uncertainty. Prior to coming to Â鶹¹ÙÍø, 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
- 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.
- J. Benzaken, J.A. Evans, and R. Tamstorf, "Constructing Nitsche's method for variational problems." Archives of Computational Methods in Engineering, in press.
- 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.
- 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.
- 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.
- 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.
- 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.