My Postdocs
# 1. Zhangxing Chen: (Student of Jim Douglas', Jr., Purdue U.)
 Duration of
postdoc: Fall
1991 Summer 1993.
 Papers resulting from
the
postdoc:
 Error
estimates
for a finite
element method for the drift diffusion semiconductor device equations, SIAM
J. Numer. Anal., 31 (1994), pp.
10621089.
 MixedRKDG
finite
element methods
for the 2D hydrodynamic model for semiconductor device simulation, VLSI
Designs, 3 (1995), pp. 145158.
 Quantum
hydrodynamic simulation
of hysteresis in the resonant tunneling diode J.
Comput. Phys., 117 (1995), pp.
274280.
 Current position: Professor, Department
of Chemical and Petroleum Engineering.

personal web page
# 2. Ilaria Perugia: (Student
of Franco Brezzi's, Pavia, Italy)
 Duration of
postdoc: Fall
1999 Spring 2001.
 Papers resulting from the
postdoc:
 An a priori
error
analysis of
the local discontinuous Galerkin method for elliptic problems, SIAM
J. Numer. Anal., 38 (2000), pp.
16761706.
 Discontinuous
Finite Element
Methods for the Simulation of Rotating Electrical Machines,COMPEL, 20
(2001),pp. 448462.
 Superconvergence
of
the local
discontinuous Galerkin method for elliptic problems on Cartesian Grid, SIAM
J. Numer. Anal., 39 (2001), pp.
264285.
 On the coupling
of
local discontinuous
Galerkin and conforming finite element methods, J.
Sci. Comput., 16 (2001), pp. 411433.
 An hpanalysis
of
the local discontinuous
Galerkin method for diffusion problems, J.
Sci. Comput., 6 (2001), pp.
411433.
 The hplocal
discontinuous Galerkin
method for lowfrequency timeharmonic Maxwell's equations , Math.
Comp., 72
(2003), pp. 11791214.
 Current position: Chair of Numerics of PDEs
Professor, Department of Mathematics.
University of Vienna

personal web page
# 3. Dominik Schoetzau: (Student
of Chris Schwab's, ETH, Switzwerland)
 Duration of
postdoc: Fall
1999 Fall 2001.
 Papers resulting from the
postdoc:
 An a priori
error
analysis of
the local discontinuous Galerkin method for elliptic problems, SIAM
J. Numer. Anal., 38 (2000), pp.
16761706.
 Discontinuous
Finite Element
Methods for the Simulation of Rotating Electrical Machines,COMPEL, 20
(2001),pp. 448462.
 Superconvergence
of
the local
discontinuous Galerkin method for elliptic problems on Cartesian Grid, SIAM
J. Numer. Anal., 39 (2001), pp.
264285.
 An hpanalysis
of
the local discontinuous
Galerkin method for diffusion problems, J.
Sci. Comput., 6 (2001), pp.
411433.
 On the coupling
of
local discontinuous
Galerkin and conforming finite element methods, J.
Sci. Comput., 16 (2001), pp. 411433.
 Optimal a
priori
error estimates
for the hpversion of the local discontinuous Galerkin method for
convectiondiffusion
problems, Math. Comp.,
71 (2002), pp. 455478.
 Local
discontinuous
Galerkin
methods for the Stokes system, SIAM
J.
Numer. Anal., 40 (2002), pp. 319343.
 The hplocal
discontinuous Galerkin
method for lowfrequency timeharmonic Maxwell's equations , Math.
Comp., 72 (2003), pp. 11791214.
 Local
discontinuous
Galerkin
methods for the Oseen equations, Math.
Comp., 13 (2004), pp. 569593.
 Current position:
Professor,
Department of Mathematics, University of British Columbia.

personal web page
# 4.
Jay Gopalakrishnan
:
(Student of J. Pasciack and J. Bramble's, Department of Mathematics, Texas A&M U.)
 IMA
postdoc:
from the Fall 1999 to the Spring of 2001.
 Papers resulting from the
postdoc:

A characterization of hybridized mixed methods for second order elliptic problems,
SIAM J. Numer. Anal.,
42 (2004), pp. 283301.

Current position:
Professor,
Department of Mathematics + Statistics, Portland State U.

personal web page
# 5.
Jianliang Qian
:
(Student of William Symes', Rice U.)
 IMA
postdoc:
from the Fall 2000 to the Spring of 2002.
 Papers resulting from the
postdoc:

Continuous dependence results for HamiltonJacobi equations,
Collected lectures on the preservation of stability under discretization
(Fort Collins, CO, 2001),
(2002), pp. 6790.

An accurate spectral/discontinuous finiteelement formulation of a
phasespacebased level set approach to geometrical optics,
J. Comput. Phys.,
208 (2005), pp. 175195.

Current position:
Professor,
Department of Mathematics, Michigan State U.

personal web page
# 6. Jing Wang
:
(Student of R. Gulliver and F. Santosa's, School of Mathematics, U. of Minnesota)
 IMA
postdoc:
from the Fall 2002 to the Spring of 2004.
 Papers resulting from the
postdoc:

An accurate spectral/discontinuous finiteelement formulation of a
phasespacebased level set approach to geometrical optics,
J. Comput. Phys.,
208 (2005), pp. 175195.

Discontinuous Galerkin methods for incompressible elastic materials,
Comput. Methods Appl. Mech. Engrg.,
195 (2006), pp. 31843204.

Current working in:
Minneapolis, Minnesota.
# 7. Jesus Carrero: (Student of V. Vardarajan's,
UCLA)
 Duration of
postdoc: Fall 2003 Spring 2005.
 Papers resulting from the
postdoc:
 Hybridized
globally divergencefree LDG methods. Part
I: The Stokes problem, Math.
Comp., 75 (2006), pp. 533563.
 Currently working in: Amsterdam, The Netherlands.
# 8. Thomas Wihler
:
(Student of Chris Schwab's, ETH, Switzwerland)

Duration of the postdoc:
Fall 2003  Spring 2005.
 Current position:
Professor,
Institute of Mathematics, Bern U.

personal web page
# 9. ChiuYen Kao: (Student
of S. Osher's, UCLA. Comentored with Fernando Reitich)
 IMA
postdoc:
from the Fall 2004 to the Spring of 2006.
 Papers resulting from the
postdoc:

An adaptive spectral/DG method for a reduced base space based level set approach to geometrical optics on curved elements, J. Sci. Comput., 259 (2014), pp. 636649.
# 10. Johnny Guzman: (Student
of L. Wahlbin's, Cornell U.)
 Duration of
postdoc: Fall 2005 Spring 2008.
 Papers resulting from the
postdoc:
 Error
estimates for the RungeKutta discontinuous Galerkin method for the
transport equation with discontinuous initial data, SIAM J. Numer. Anal., 46 (2008), pp. 13641398.
 Local and
pointwise error estimates of the local
discontinuous Galerkin method for Stokes Problem, Math. Comp., 77 (2008), pp. 12931322.
 Optimal
convergence of the original discontinuous Galerkin method for the
transportreaction equation on special meshes, SIAM J. Numer. Anal. , 46 (2008), pp. 12501265.
 A
superconvergent LDGhybridizable Galerkin method for secondorder
elliptic problems, Math. Comp., 77
(2008), pp. 18871916.
 Superconvergent
Discontinuous Galerkin methods for secondorder elliptic equations, Math. Comp., 78 (2009), pp. 124.
 A hybridizable and
superconvergent discontinuous Galerkin method for the biharmonic problems, J. Sci. Comput., 40 (2009), pp. 141187
 An analysis of
the embedded discontinuous Galerkin methods for secondorder elliptic
problems, SIAM J. Numer. Anal., 47 (2009), pp. 26862707.
 A hybridizable
discontinuous Galerkin method for steadystate convectiondiffusionreaction
problems, SIAM J. Sci. Comput., 31 (2009), pp. 38273846.
 Optimal convergence of the original DG method on special meshes for variable transport velocity, SIAM J. Numer.. Anal., 48 (2010), pp. 133146.
 Current position:
Professor,
Division of Applied Mathematics, Brown University.

personal web page
# 11. Olivier Dubois
:
(Student of Martin Gander's, McGill U., Montreal, Canada)
 IMA
postdoc:
from the Fall 2007 to the Spring of 2009.
 Papers resulting from the
postdoc:

Multigrid for an HDG method,
IMA J. Numer. Anal.,
34 (2014), pp. 13861425.

Current position:
Mathematics Teacher,
at CEGEP, John Abbott College.

personal web page
# 12. Aycil Cesmelioglu
:
(Student of Beatrice Riviere's, Comp. and Applied Math. Department, Rice U.)
 IMA
postdoc:
from the Fall 2010 to the Spring of 2012.
 Papers resulting from the
postdoc:

Analysis of HDG methods for Oseen equations,
J. Sci. Comput.,
55 (2013), pp. 392431.

Current position:
Associate Professor,
Dept. of Math. and Stat., Oakland U..

personal web page
# 13. Jintao Cui
:
(Student of Suzanne Brenner's, Department of Mathematics, Louisiana U.)
 IMA
postdoc:
from the Fall 2010 to the Spring of 2012.
 Papers resulting from the
postdoc:

An analysis of HDG methods for the vorticityvelocitypressure
formulation of the Stokes problem in three dimensions,
Math. Comp.,
81 (2012), pp. 13551368.

Divergencefree HDG methods for the vorticityvelocity formulation of the Stokes problem,
J. Sci. Comput.,
52 (2012), pp. 256270.

Current position:
Assistant Professor,
Dept. of Math., The Hong Kong Poly. U., Hong Kong, China.

personal web page
# 14. Weifeng (Frederick) Qiu
:
(Student of Leszek Demkowicz',U. of Texas at Austin, Texas)
 IMA
postdoc:
from the Fall 2010 to the Spring of 2012.
 Papers resulting from the
postdoc:

Conditions for superconvergence of HDG methods for secondorder elliptic problems,
Math. Comp.,
81 (2012), pp. 13271353.

Superconvergent HDG methods on isoparametric elements for secondorder elliptic problems,
SIAM J. Numer. Anal.,
50 (2012) pp. 14171432.

Commuting diagrams for the TNT elements on cubes,
Math. Comp.,
83 (2014), pp. 603633.

A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity,
Math. Comp.,
83 (2014), pp. 665699.

Current position:
Professor,
Department of Mathematics, City U. of Hong Kong, Hong Kong, China.

personal web page
# 15. Sander Rhebergen
:
(Student of J.J.W. van der Vegt's, U. of Twente, The Netherlands)
 Duration of
postdoc:
Spring 2011 Spring 2012 .
 Papers resulting from the
postdoc:

Spacetime hybridizable discontinuous Galerkin method for the advectiondiffusion equation on moving and deforming meshes,
in The CourantFriedrichsLewy (CFL) condition, 80 years after its discovery ,
(2013), pp. 4563.

A spacetime hybridizable discontinuous Galerkin method for incompressible flows on deforming domains,
J. Comput. Phys.,
231 (2012), pp. 41854204.

A spacetime discontinuous Galerkin method for the incompressible NavierStokes equations,
J. Comput. Phys.,
233 (2013), pp. 339358.

Current position:
Assistant Professor,
Department of Mathematics, University of Waterloo.

personal web page
# 16. Liangyue Ji
:
(Student of Yan Xu's, USCT, Hefei, China)
 Duration of
postdoc:
Fall 2012 Spring 2015.
 Papers resulting from the
postdoc:

StormerNumerov HDG methods for acoustic waves,
J. Sci. Comput.,
75 (2018), pp. 597624.

Currently working in:
London, U.K.
# 17. Manuel Sanchez Uribe
:
(Student of Johnny Guzman's, Brown U.)
 Duration of
postdoc:
Fall 2015  Spring 2017.
 Papers resulting from the
postdoc:

StormerNumerov HDG methods for acoustic waves,
J. Sci. Comput.,
75 (2018), pp. 597624.

Supercloseness of primaldual Galerkin approximations for second order elliptic problems,
J. Sci. Comput.,
75 (2018), pp. 376394.

Symplectic Hamiltonian HDG methods for wave propagation phenomena,
J. Comput. Phys.,
350 (2017), pp. 951973.

Current position:
Assistant Professor,
Pontificia U. Catolica de Chile, Santiago de Chile, Chile.

personal web page
# 18. Zhu Wang
:
(Student of Trian Iliescu's, Department of Mathematics, Virginia Tech. U.)
 IMA
postdoc:
from the Fall 2012 to the Spring of 2014.
 Papers resulting from the
postdoc:

Adjointbased, superconvergent Galerkin approximations of linear functionals,
J. Sci. Comput.,
73 (2017), pp. 644666.

Current position:
Associate Professor,
Dept. of Math., U. of South Carolina.

personal web page
Last
modified: Wednesday March 03, 2021