My Post-docs
Zhangxin 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 Mathematics,
Southern Methodist University.
Ilaria Perugia: (Student
of Franco Brezzi's, Pavia)
- 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: Assistant
Professor, Department of Mathematics,
Università
di Pavia.
- email address: perugia@dimat.unipv.it
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: Assistant
Professor, Department of Mathematics, University of
British Columbia.
- email address: schoetzau@math.ubc.ca
Jesus Carrero: (Student of V. Vardarajan's,
UCLA)
- Duration of
post-doc: Fall 2003- Fall 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.
- Current position: Software Developer,
Cadence Design Systems Inc., San Jose, California.
- email address: jesus.carrero@invarium.com
Johnny Guzman: (Student
of L. Wahlbin's, Cornell U.)
- Duration of
post-doc: Fall 2005- ....
- 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., in revision.
- Local and
pointwise error estimates of the local
discontinuous Galerkin method for Stokes Problem, Math. Comp., to appear.
- Optimal
convergence of the original discontinuous Galerkin method for the
transport-reaction equation on special meshes, SIAM J. Numer. Anal. , in revision.
- A
superconvergent LDG-hybridizable Galerkin method for second-order
elliptic problems, Math. Comp. , in
revision.
- email address: guzma0033@umn.edu
Last
modified: Wed. Jan. 02 2002