Haiying Wang
Curriculum
Vitae
Research Interests: Numerical Analysis and Scientific Computing
- Finite element methods: continuous and discontinuous
Galerkin methods, mixed and
hybridized methods
- Finite volume methods: a posteriori error analysis
for elliptic, parabolic, and Navier-Stokes equations
- Compositional models for reservoir simulations;
Flow in porous
media
Education
- Ph.D., School
of Mathematics, University of
Minnesota,
2006, Advisor: Bernardo
Cockburn
- M.S., School of Mathematical
Sciences, Nankai University,
China, 2001, Advisor: Che Sun
- B.S., School of Mathematical
Sciences, Nankai University, China,
1998
Teaching
- Spring 2009, M369: Linear
Algebra
- Fall 2008, Math 317: Advanced Calculus of One Variable
- Spring 2008, Math 229: Matrices and Linear Equations
Publications and Preprints
- Estep, D., Pernice, M., Pham, D., Tavener, S., and Wang, H.,
A Posteriori Error Analysis of a Cell-Centered Finite
Volume Method
for Semilinear Elliptic Problems, J. Comput. Appl. Math., 233
(2009), 459-472. (pdf)
- Cockburn, B., Guzman, J., and Wang, H., Superconvergent Discontinuous Galerkin
Methods for Second-Order Elliptic Problems,
Math.
Comp., 78(2009), pp.1--24. (pdf)
- Cockburn, B. and Wang, H., The
Computation of a Locally Conservative Stress for the Continuous
Galerkin Method for Linear Elasticity,
J. Sci.
Comput., 35(2008), pp.151--163. (pdf)
- Cockburn, B., Gopalakrishnan, J., and Wang,H., Locally Conservative Fluxes for the
Continuous Galerkin Method,
SIAM J. Numer. Anal.,
45(2007),
pp.1742--1776. (pdf)
- Estep, D., Pernice, M., Pham, D., Tavener, S., and Wang, H.,
A Posteriori Error Analysis of
Dissipative Cell-Centered Finite Volume
Methods for Quasilinear
Diffusion-Convection-Reaction Problems, To be submitted.
- MAC Finite Volume Schemes
for Navier-Stokes Equations and its a Posteriori Error
Analysis, With Don Estep, In preparation.
- Finite
Volume Methods for
Elliptic Problems with Discontinuity in Diffusion and its a Posteriori
Error Analysis, With Don Estep,
In preparation.