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Beatrice Riviere



Research Group: from left to right: Xin Yang, Jizhou Li, Jun Tan, Richard Rankin, Yingpei Wang

POSTDOCTORAL FELLOWS

  • Richard Rankin. Multiphase multicomponent. In progress.
  • Jennifer Young. Mathematical modeling of intestinal edema using a poroelastic inhomogeneous model. 2010-2012. Jennifer was a bright young mathematician, whose life was accidently taken by a moving car on Main Street.

    • STUDENTS

    Ph.D. students

    Current:

  • Yingpei Wang. Co-advised with Liliana Borcea. Approximation of the Dirichlet to Neumann map. In progress.
  • Jun Tan. Poroelasticity. In progress.
  • Jizhou Li. High order methods for miscible displacement. In progress.
  • Xin Yang. Multinumeric method for CO2 storage. In progress.

    • Past:

  • Kun Liu. PhD 2013. "Discontinuous Galerkin methods for parabolic partial differential equations with random input data". Kun is currently an employee of a company in oil reservoir management.
  • Sevtap Ozisik. Ph.D. 2012 from Middle East Technical University, Turkey. "Fully Computable Convergence Analysis of Discontinuous Galerkin Finite Element Approximation with an Arbirtrary Number of Levels of Hanging Nodes. Sevtap is currently a Postdoctoral Research Assistant at METU.
  • Aycil Cesmelioglu. PhD 2010. "Complex Flow and Transport Phenomena in Porous Media". Aycil is currently an Assistant Professor at Oakland University.
  • Prince Chidyagwai. PhD 2010. "Coupling Surface Flow with Porous Media Flow". Prince is currently an Assistant Professor at Loyola University Maryland.
  • Qi Mi. PhD 2007. "Modeling The Wound Healing In Necrotizing Enterocolitis And Diabetic Foot Ulcer". Joint supervision with David Swigon. Currently Assistant Professor in the School of Health and Medicine at University of Pittsburgh.
  • Yekaterina Epshteyn. PhD 2007. "Hp Primal Discontinuous Galerkin Finite Element Methods For Two-Phase Flow In Porous Media". Currently, Assistant Professor in the department of Mathematics at University of Utah.
  • Songul Kaya. PhD 2004. "Numerical Analysis of a Variational Multiscale Method". Joint supervision with William Layton. Winner of the 2004 Hales Distinguished Research Award for the best doctoral dissertation. Currently, Associate Professor at Middle East Technical University, Turkey.

    • Master students

  • Shirin Sardar. M.A. 2012. "Penalty-Free Discontinuous Galerkin Methods for the Stokes and Navier-Stokes Equations".
  • Xin Yang. M.A. 2012. "A Coupled Finite Volume and Discontinuous Galerkin Method for Convection-Diffusion Problems".
  • Toni Tullius. M.A. 2011. "Accelerated Discontinuous Galerkin Solvers with the Chebyshev Iterative Method on the Graphics Processing Unit". Joint supervision with Tim Warburton.
  • Kun Liu. M.A. 2010. "Discontinuous Galerkin Methods for Elliptic Partial Differential Equations with Random Coefficients".
  • Christina Ho. M.A. 2010. "Discontinuous Galerkin Formulation for Multi-component Multiphase Flow". Currently at El Paso company in Houston.
  • Ahmet Izmirlioglu. M.S. 2008. "Numerical and theoretical studies of high order methods".
  • Michael Chiacchiero. M.S. 2007. "Efficient PETSc Solvers for Discontinuous Galerkin Methods Applied to Elliptic Problems". Currently math professor at Edison State College.

    • Undergraduate students

  • Rebecca McKinnell. 2013. Research funded by NSF.
  • Justin Dong. 2013. Research funded by NHARP.
  • Joey Huchette. 2011. Research funded by NHARP.
  • Yichen Lu. 2011. Research funded by NHARP.
  • John Vogelgesang. 2011. Research funded by NHARP.
  • Yuekai Sun. 2009. Research funded by a Brown Undergraduate Research Internship and a NSF grant. Yuekai is currently a Ph.D. student at Stanford University.
  • William Klieber. Bachelor of Philosophy thesis, 2006. "Numerical Simulations of Two-Phase Flow". Research funded by CDRF (Spring 2004) and a Brackenridge Fellowship (Summer 2004). Currently, graduate student in Computer Science department at Carnegie Mellon University.



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