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Faculty Profiles

Yuri Bazilevs

Assoc Professor, Structural Engineering




Design of robust and efficient computational methods for large scale, high performance computing

Yuri Bazilevs's research interests lie in the field of computational science and engineering with an emphasis on computational mechanics. The focus of his research efforts is the design of accurate, robust, and efficient computational methods for problems of contemporary engineering interest, and their implementation in large-scale, high performance computing environments. Prof. Bazilevs is a co-developer of a new computational technology called Isogeometric Analysis. In essence, Isogeometric analysis builds on the primitives of computer-aided design and computer graphics systems, it generalizes and improves upon finite element analysis, and it has the potential to bridge the gap between design and analysis. Prof. Bazilevs also works on fluid-structure interaction analysis, which is an area of research currently receiving considerable attention. He devised a fully-integrated isogeometric fluid-structure interaction framework enabling him to solve problems of interest ranging from marine engineering to vascular blood flow. He developed a parallel, general geometry, transient, three-dimensional fluid-structure code, together with a modeling system based on templates for patient-specific cardiovascular anatomy. The procedures are applied to various patient-specific models including abdominal aortic and cerebral aneurysms, a thoracic aorta with left ventricular assist device (LVAD), and a catheter-based drug delivery system for coronary arteries.

Capsule Bio:

Yuri Bazilevs is an assistant professor of Structural Engineering at UC San Diego. His research focuses on computational science and engineering for the development of robust computational methods for large scale high performance computing. Prior to joining UC San Diego, Dr. Bazilevs was a J.T. Oden ICES Postdoctoral Fellow (2006-2008) and also a lecturer in the Department of Aerospace Engineering and Engineering Mechanics at UT Austin (2007-2008). He has published more than 20 articles in refereed archival journals and over 30 refereed conference proceedings articles, book chapters, and technical reports on computational solid and fluid dynamics, computational fluid-structure interaction, isogeometric analysis, turbulence modeling, and mathematics of finite elements and related approaches.

Education:

  • Ph.D. Computational and Applied Mathematics, 2006, University of Texas at Austin
  • M.S. Mechanical Engineering, 2001, Renssalaer Polytechnic Institute, New York
  • B.S. Mechanical Engineering (Magma cum Laude), 2000, Renssalaer Polytechnic Institute, New York

Awards:

  • 2011 U.S. Association for Computational Mechanics Gallagher Young Investigator Award
  • 2011 NSF Career Awards
  • Outstanding PhD Dissertation Nominee, UT-Austin, 2006-2007
  • J.T. Oden ICES Postdoctoral Fellowship, ICES, UT Austin, 2006-present
  • Continuing Education Fellowship, UT-Austin, 2004
  • Michael J. Sadowsky MS Thesis Award, RPI, 2002
  • Dean of Engineering Scholarship, RPI, 1996
  • Dean of International Students Scholarship, RPI, 1996

Selected Publications:

  • Bazilevs, Y., Calo, V.M., Cottrell, J.A., Evans, J., Hughes, T.J.R., Lipton S., Scott, M.A., and Sederberg, T.W., (2008). “Isogeometric Analysis using T-Splines,” Computer Methods in Applied Mechanics and Engineering. Accepted for publication.
  • Bazilevs, Y., Gohean, J.R., Hughes, T.J.R., Moser, R.D., and Zhang, Y., (2008). “Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device,” Computer Methods in Applied Mechanics and Engineering. In review.
  • Evans, J.A., Bazilevs, Y., Babuska, I., and Hughes, T.J.R., (2008). “N-widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method,” Computer Methods in Applied Mechanics and Engineering. Accepted for publication.
  • Hsu, M.C., Bazilevs, Y., Calo, V.M., Tezduyar, T.E., and Hughes, T.J.R., (2008). “Improving stability of multiscale formulations of fluid flow at small time steps,” Computer Methods in Applied Mechanics and Engineering. In review.
  • Bazilevs, Y., Michler, C., Calo, V.M., and Hughes, T.J.R., (2008). “Isogeometric variational multiscale modeling of wall-bounded turbulent flows with eeakly-enforced boundary conditions on unstretched meshes,” Computer Methods in Applied Mechanics and Engineering. Accepted for publication.
  • Bazilevs, Y., and Hughes, T.J.R., (2008). “Using Isogeometric Analyais to compute flows with rotating components,” Computational Mechanics, Published online.
  • Calo, V.M., Brasher, N., Bazilevs, Y., and Hughes, T.J.R., (2008). “A multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow,” Computational Mechanics, Published online.
  • Bazilevs, Y., Calo, V.M., Hughes, T.J.R., and Zhang, Y., (2008). “Isogeometric fluid-structure interaction: Theory, algorithms and computations,” Computational Mechanics. Published online.
  • Gomez, H., Calo, V.M., Bazilevs, Y., and Hughes, T.J.R., (2008). “Isogeometric Analysis of the Cahn-Hilliard phase field model,” Computer Methods in Applied Mechanics and Engineering, Published online.
  • Elguedj, T., Bazilevs, Y., Calo, V.M., and Hughes, T.J.R., (2008), “B-bar and F-bar projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements,” Computer Methods in Applied Mechanics and Engineering, 197, 2732-2762.
  • Akkerman, I., Bazilevs, Y., Calo, V.M., Hughes, T.J.R., and Hulshoff, S., (2008). “The role of continuity in residual-based variational multiscale modeling of turbulence,” Computational Mechanics, 41, 371-378.
  • Bazilevs, Y., Calo, V.M., Cottrell, J.A., Hughes, T.J.R., Reali, A., and Scovazzi, G., (2007). “Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows,” Computer Methods in Applied Mechanics and Engineering, 197, 173-201.
  • Isaksen, J., Bazilevs, Y., Kvamsdal, T., Zhang, Y., Kaspersen, J.H., Waterloo, K., Romner, B., and Ingebrigtsen, T., (2007). “Determination of wall tension in cerebral artery aneurysms by numerical simulation,” Stroke, Accepted for publication.
  • Bazilevs, Y., Michler, C., Calo, V.M., and Hughes, T.J.R., (2007). “Weak Dirichlet boundary conditions for wall-bounded turbulent flows,” Computer Methods in Applied Mechanics and Engineering, 196, 4853-4862.
  • Bazilevs, Y., Calo, V.M., Tezduyar, T.E., and Hughes, T.J.R., (2007). “YZbeta discontinuity-capturing for advection-dominated processes in arterial drug delivery,” International Journal for Numerical Methods in Fluids, 54, 593-608.
  • Zhang, Y., Bazilevs, Y., Goswami, S., Bajaj, C., and Hughes, T.J.R., (2007). “Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow,” Computer Methods in Applied Mechanics and Engineering, 196, 2943-2959.
  • Bazilevs, Y., and Hughes, T.J.R., (2007). “Weak imposition of Dirichlet boundary conditions in fluid mechanics," Computers and Fluids, 36, 12-26.
  • Bazilevs, Y., Calo, V.M., Zhang, Y., and Hughes, T.J.R., (2006). “Isogeometric fluid-structure interaction analysis with applications to arterial blood flow,” Computational Mechanics, 38, 310-322.
  • Bazilevs, Y., Beirao da Veiga, L., Cottrell, J.A., Hughes, T.J.R., and Sangalli, G., (2006). “Isogeometric analysis: Approximation, stability and error estimates for h-refined meshes,” Mathematical Methods and Models in Applied Sciences, 16, 1031-1090.
  • Cottrell, J.A., Reali, A., Bazilevs, Y., and Hughes, T.J.R., (2006). “Isogeometric analysis of structural vibrations," Computer Methods in Applied Mechanics and Engineering, 195, 5257-5296.
  • Hughes, T.J.R., Cottrell, J.A., and Bazilevs, Y., (2005). “Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement," Computer Methods in Applied Mechanics and Engineering, 194, 4135-4195.

Yuri Bazilevs
Office Phone:
858-534-3663


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