Research interests
Numerical linear algebra
High-performance computing
Adaptive mesh refinement
Multigrid
Preconditioning
Image processing
Publications
B. Cousins, S. Le Borne, A. Linke, L. Rebholz, and Z. Wang, Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements, Numerical Methods for Partial Differential Equations, 29(4) (2013), pp. 1217–1237.
M. Benzi and Z. Wang, A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier--Stokes equations, Numerical Algorithms, 64(1) (2012), pp. 73-84.
M. Benzi, M. A. Olshanskii, L. G. Rebholz and Z. Wang, Assessment of a vorticity based solver for the Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, 247-248 (2012), pp. 216-225.
M. Benzi and Z. Wang, Analysis of augmented Lagrangian-based preconditioners for the steady incompressible Navier-Stokes equations, SIAM J. Scientific Computing, 33(5) (2011), pp. 2761-2784.
M. Benzi, M. K. Ng, Q. Niu and Z. Wang, A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations, Journal of Computational Physics, 230 (2011), pp. 6185-6202.
M. Benzi, M. A. Olshanskii and Z. Wang, Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids, 66(4) (2011), pp. 486-508.
C. Yang, Z. Wang and S. Marchesini, Orientation determination for 3D single molecule diffraction imaging, vol. 7800, SPIE, 2010, p. 78000P.
Z. Jia and Z. Wang, A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian eigenproblem, Science in China Series A, 51 (12) (2008), pp. 2205-2216.
Presentations
Nvidia GPU Technology Conference, San Jose, California, March 26–29, 2018. GPU acceleration of direct sparse matrix solver for ANSYS Electronics.
SIAM Annual Meeting, Pittsburgh, Pennsylvania, July 10-14, 2017. Distributed-memory direct sparse matrix solver for ANSYS Electronics.
SIAM Conference on Parallel Processing for Scientific Computing, Savannah, Georgia, February 15-17, 2012. Modified augmented Lagrangian preconditioners for incompressible flow problems.
SIAM Conference on Computational Science and Engineering, Reno, Nevada, February 28-March 4, 2011. Augmented Lagrangian-based preconditioners for steady incompressible Navier-Stokes equations.
3rd Annual JohnFest/SIAM Student Conference, Clemson University, South Carolina, February 19, 2011. Numerical results on the coupled system of the velocity-vorticity-helicity formulation for the steady incompressible Navier-Stokes equations.
11th Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado, April 4-9, 2010. Preconditioners for stabilized finite element discretizations of the steady incompressible Navier-Stokes equations.
International Conference on Preconditioning Techniques for Scientific and Industrial Applications, Hong Kong, August 24-26, 2009. Augmented Lagrangian preconditioners for incompressible flow problems.
Workshops
11th Workshop on the DOE Advanced Computational Software (ACTS) Collection, Lawrence Berkeley National Laboratory, Berkeley, CA, August 17-20, 2010.