My Post-docs


Zhangxing Chen: (Student of Jim Douglas', Jr., Purdue U.)

Ilaria Perugia: (Student of Franco Brezzi's, Pavia, Italy)

Dominik Schoetzau:
(Student of Chris Schwab's, ETH, Switzwerland)

Jay Gopalakrishnan : (Student of J. Pasciack and J. Bramble's, Department of Mathematics, Texas A&M U.)


Jianliang Qian : (Student of William Symes', Rice U.)

Jing Wang : (Student of R. Gulliver and F. Santosa's, School of Mathematics, U. of Minnesota)
  • IMA post-doc from the Fall 2002 to the Spring of 2004.
  • Papers resulting from the post-doc:
    • An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics, J. Comput. Phys., 208 (2005), pp. 175-195.
    • Discontinuous Galerkin methods for incompressible elastic materials, Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 3184-3204.
  • Current working in: Minneapolis, Minnesota.

Jesus Carrero: (Student of V. Vardarajan's, UCLA)
  • Duration of post-doc:  Fall 2003- Spring 2005.
  • Papers resulting from the post-doc:
    • Hybridized globally divergence-free LDG methods. Part I: The Stokes problem,  Math. Comp., 75 (2006), pp. 533-563.
  • Currently working in: Amsterdam, The Netherlands.


Thomas Wihler : (Student of Chris Schwab's, ETH, Switzwerland)
  • Duration of the post-doc:  Fall 2003 - Spring 2005.
  • Current position: Professor,  Institute of Mathematics, Bern U.
  • personal web page


Johnny Guzman: (Student of L. Wahlbin's, Cornell U.)
  • Duration of post-doc:  Fall 2005- Spring 2008.
  • Papers resulting from the post-doc:
    • Error estimates for the Runge-Kutta discontinuous Galerkin method for the transport equation with discontinuous initial data,  SIAM J. Numer. Anal., 46 (2008), pp. 1364-1398.
    • Local and pointwise error estimates of the local discontinuous Galerkin method for Stokes ProblemMath. Comp.,  77 (2008), pp. 1293-1322.
    • Optimal convergence of the original discontinuous Galerkin method for the transport-reaction equation on special meshes,  SIAM J. Numer. Anal. , 46 (2008), pp. 1250-1265.
    • A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems, Math. Comp., 77 (2008), pp. 1887-1916.
    • Superconvergent Discontinuous Galerkin methods for second-order elliptic equations, Math. Comp., 78 (2009), pp. 1-24.
    • A hybridizable and superconvergent discontinuous Galerkin method for the biharmonic problems, J. Sci. Comput., 40 (2009), pp. 141-187
    • An analysis of the embedded discontinuous Galerkin methods for second-order elliptic problems, SIAM J. Numer. Anal., 47 (2009), pp. 2686-2707.
    • A hybridizable discontinuous Galerkin method for steady-state convection-diffusion-reaction problems, SIAM J.  Sci. Comput., 31 (2009), pp. 3827-3846.
    • Optimal convergence of the original DG method on special meshes for variable transport velocity, SIAM J.  Numer.. Anal., 48 (2010), pp. 133-146.
  • Current position: Professor,  Division of Applied Mathematics, Brown University.
  • personal web page


Olivier Dubois : (Student of Martin Gander's, McGill U., Montreal, Canada)
  • IMA post-doc from the Fall 2007 to the Spring of 2009.
  • Papers resulting from the post-doc:
    • Multigrid for an HDG method, IMA J. Numer. Anal., 34 (2014), pp. 1386-1425.


Aycil Cesmelioglu : (Student of Beatrice Riviere's, Comp. and Applied Math. Department, Rice U.)
  • IMA post-doc from the Fall 2010 to the Spring of 2012.
  • Papers resulting from the post-doc:
    • Analysis of HDG methods for Oseen equations, J. Sci. Comput., 55 (2013), pp. 392-431.
  • Current position: Associate Professor,   Dept. of Math. and Stat., Oakland U..
  • personal web page


Jintao Cui : (Student of Suzanne Brenner's, Department of Mathematics, Louisiana U.)
  • IMA post-doc from the Fall 2010 to the Spring of 2012.
  • Papers resulting from the post-doc:
    • An analysis of HDG methods for the vorticity-velocity-pressure formulation of the Stokes problem in three dimensions, Math. Comp., 81 (2012), pp. 1355-1368.
    • Divergence-free HDG methods for the vorticity-velocity formulation of the Stokes problem, J. Sci. Comput., 52 (2012), pp. 256-270.
  • Current position: Assistant Professor,   Dept. of Math., The Hong Kong Poly. U., Hong Kong, China.
  • personal web page


Weifeng (Frederick) Qiu : (Student of Leszek Demkowicz',U. of Texas at Austin, Texas)
  • IMA post-doc from the Fall 2010 to the Spring of 2012.
  • Papers resulting from the post-doc:
    • Conditions for superconvergence of HDG methods for second-order elliptic problems, Math. Comp., 81 (2012), pp. 1327-1353.
    • Superconvergent HDG methods on isoparametric elements for second-order elliptic problems, SIAM J. Numer. Anal., 50 (2012) pp. 1417-1432.
    • Commuting diagrams for the TNT elements on cubes, Math. Comp., 83 (2014), pp. 603--633.
    • A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity, Math. Comp., 83 (2014), pp. 665-699.
  • Current position: Professor,   Department of Mathematics, City U. of Hong Kong, Hong Kong, China.
  • personal web page


Sander Rhebergen : (Student of J.J.W. van der Vegt's, U. of Twente, The Netherlands)
  • Duration of  post-doc:  Spring 2011 -Spring 2012 .
  • Papers resulting from the post-doc:
    • Space-time hybridizable discontinuous Galerkin method for the advection-diffusion equation on moving and deforming meshes, in The Courant-Friedrichs-Lewy (CFL) condition, 80 years after its discovery , (2013), pp. 45-63.
    • A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains, J. Comput. Phys., 231 (2012), pp. 4185-4204.
    • A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations, J. Comput. Phys., 233 (2013), pp. 339-358.
  • Current position: Assistant Professor,   Department of Mathematics, University of Waterloo.
  • personal web page


Liangyue Ji : (Student of Yan Xu's, USCT, Hefei, China)
  • Duration of  post-doc:  Fall 2012- Spring 2015.
  • Papers resulting from the post-doc:
    • Stormer-Numerov HDG methods for acoustic waves, J. Sci. Comput., 75 (2018), pp. 597-624.
  • Currently working in: London, U.K.


Manuel Sanchez Uribe : (Student of Johnny Guzman's, Brown U.)
  • Duration of  post-doc:  Fall 2015 - Spring 2017.
  • Papers resulting from the post-doc:
    • Stormer-Numerov HDG methods for acoustic waves, J. Sci. Comput., 75 (2018), pp. 597-624.
    • Supercloseness of primal-dual Galerkin approximations for second order elliptic problems, J. Sci. Comput., 75 (2018), pp. 376-394.
    • Symplectic Hamiltonian HDG methods for wave propagation phenomena, J. Comput. Phys., 350 (2017), pp. 951--973.
  • Current position: Assistant Professor,   Pontificia U. Catolica de Chile, Santiago de Chile, Chile.
  • personal web page


Zhu Wang : (Student of Trian Iliescu's, Department of Mathematics, Virginia Tech. U.)
  • IMA post-doc from the Fall 2012 to the Spring of 2014.
  • Papers resulting from the post-doc:
    • Adjoint-based, superconvergent Galerkin approximations of linear functionals, J. Sci. Comput., 73 (2017), pp. 644-666.
  • Current position: Associate Professor,   Dept. of Math., U. of South Carolina.
  • personal web page

Last modified: Tuesday Jan. 15 2019