Haiying
Wang
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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
- Fall 2009, Math 1160: Calculus wth Technology I
- Fall 2009, Math 4630: Numerical Methods
Publications and Preprints
- Wang, H., Pernice, M., Tavener, S., and Estep,
D., A Posteriori Error Analysis for a Cut Cell Finite Volume
Method, submitted. (pdf)
- 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)
- Woodward, C., Estep, D., Sandelin, J., and Wang,
H., A Posteriori Analysis for Hydrodynamics Simulations Using Adjoint
Methodologies, DOE Information Bridge: DOE Scientific and Technical
Information,
LLNL-TR-410979, 2009. (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.