My Post-docs
# 1. Zhangxing Chen: (Student of Jim Douglas', Jr., Purdue U.)
- Duration of
post-doc: Fall
1991- Summer 1993.
- Papers resulting from
the
post-doc:
- Error
estimates
for a finite
element method for the drift diffusion semiconductor device equations, SIAM
J. Numer. Anal., 31 (1994), pp.
1062-1089.
- Mixed-RKDG
finite
element methods
for the 2-D hydrodynamic model for semiconductor device simulation, VLSI
Designs, 3 (1995), pp. 145-158.
- Quantum
hydrodynamic simulation
of hysteresis in the resonant tunneling diode J.
Comput. Phys., 117 (1995), pp.
274-280.
- Current position: Professor, Department
of Chemical and Petroleum Engineering.
-
personal web page
# 2. Ilaria Perugia: (Student
of Franco Brezzi's, Pavia, Italy)
- Duration of
post-doc: Fall
1999- Spring 2001.
- Papers resulting from the
post-doc:
- An a priori
error
analysis of
the local discontinuous Galerkin method for elliptic problems, SIAM
J. Numer. Anal., 38 (2000), pp.
1676-1706.
- Discontinuous
Finite Element
Methods for the Simulation of Rotating Electrical Machines,COMPEL, 20
(2001),pp. 448-462.
- Superconvergence
of
the local
discontinuous Galerkin method for elliptic problems on Cartesian Grid, SIAM
J. Numer. Anal., 39 (2001), pp.
264-285.
- On the coupling
of
local discontinuous
Galerkin and conforming finite element methods, J.
Sci. Comput., 16 (2001), pp. 411-433.
- An hp-analysis
of
the local discontinuous
Galerkin method for diffusion problems, J.
Sci. Comput., 6 (2001), pp.
411-433.
- The hp-local
discontinuous Galerkin
method for low-frequency time-harmonic Maxwell's equations , Math.
Comp., 72
(2003), pp. 1179-1214.
- 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
post-doc: Fall
1999- Fall 2001.
- Papers resulting from the
post-doc:
- An a priori
error
analysis of
the local discontinuous Galerkin method for elliptic problems, SIAM
J. Numer. Anal., 38 (2000), pp.
1676-1706.
- Discontinuous
Finite Element
Methods for the Simulation of Rotating Electrical Machines,COMPEL, 20
(2001),pp. 448-462.
- Superconvergence
of
the local
discontinuous Galerkin method for elliptic problems on Cartesian Grid, SIAM
J. Numer. Anal., 39 (2001), pp.
264-285.
- An hp-analysis
of
the local discontinuous
Galerkin method for diffusion problems, J.
Sci. Comput., 6 (2001), pp.
411-433.
- On the coupling
of
local discontinuous
Galerkin and conforming finite element methods, J.
Sci. Comput., 16 (2001), pp. 411-433.
- Optimal a
priori
error estimates
for the hp-version of the local discontinuous Galerkin method for
convection-diffusion
problems, Math. Comp.,
71 (2002), pp. 455-478.
- Local
discontinuous
Galerkin
methods for the Stokes system, SIAM
J.
Numer. Anal., 40 (2002), pp. 319-343.
- The hp-local
discontinuous Galerkin
method for low-frequency time-harmonic Maxwell's equations , Math.
Comp., 72 (2003), pp. 1179-1214.
- Local
discontinuous
Galerkin
methods for the Oseen equations, Math.
Comp., 13 (2004), pp. 569-593.
- 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
post-doc:
from the Fall 1999 to the Spring of 2001.
Papers resulting from the
post-doc:
-
A characterization of hybridized mixed methods for second order elliptic problems,
SIAM J. Numer. Anal.,
42 (2004), pp. 283-301.
-
Current position:
Professor,
Department of Mathematics + Statistics, Portland State U.
-
personal web page
# 5.
Jianliang Qian
:
(Student of William Symes', Rice U.)
- IMA
post-doc:
from the Fall 2000 to the Spring of 2002.
- Papers resulting from the
post-doc:
-
Continuous dependence results for Hamilton-Jacobi equations,
Collected lectures on the preservation of stability under discretization
(Fort Collins, CO, 2001),
(2002), pp. 67-90.
-
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.
-
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
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.
# 7. 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.
# 8. 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
# 9. Chiu-Yen Kao: (Student
of S. Osher's, UCLA. Co-mentored with Fernando Reitich)
- IMA
post-doc:
from the Fall 2004 to the Spring of 2006.
- Papers resulting from the
post-doc:
-
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. 636-649.
# 10. 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 Problem, Math. 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
# 11. 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.
-
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
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
# 13. 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
# 14. 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
# 15. 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
# 16. 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.
# 17. 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
# 18. 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: Wednesday March 03, 2021