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Zhiqiang Cai

Collaborating Professors:Zhiqiang Cai

Name：Zhiqiang Cai
Title：Professor
Gender：male
Tel：
Email：caiz@purdue.edu
HomePage：
http://www.math.purdue.edu/~zcai/
Basic：
Professor of Mathematics
Department of Mathematics
Purdue University, USA
Educational background：
- Ph.D. Applied Mathematics University of Colorado 1990
- M.S. Computational Mathematics Huazhong University of Science and Technology, China 1985
- B.S. Computer Sciences Huazhong University of Science and Technology, China 1982
Work experience：
Research fields：
My main research interests are: numerical analysis, applied mathematics, computational mechanics
Scientific achievements：
- (with S. Cao) A recovery-based a posteriori error estimator for H(curl) interface problems, Comput. Methods in Appl. Mech. Eng., 296 (2015), 169-195.
- (with R. Falgout and S. Zhang) Div first-order system LL* (FOSLL*) for second-order elliptic partial differential equations, SIAM J. Numer. Anal., 53:1 (2015), 405-420.
- (with V. Carey, J. Ku, and E.-J. Park) Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global L2 norm, Comput. Math. Appl., 70 (2015), 648-659.
- (with L. Song and Y. Hou) Recovery-based error estimator for stabilized finite element methods for the Stokes equations, Comput. Methods in Appl. Mech. Eng., 272 (2014), 1-16.
- (with S. Zhang) Robust equilibrated residual error estimator for diffusion problems: Conforming elements, SIAM J. Numer. Anal., 50:1 (2012), 151-170.
- (with S. Zhang) Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation, Math. Comp., 81:280 (2012), 1903-1927.
- (with J. Ku) Goal-oriendted local a posteriori error estimator for H(div) least-squares finite element method, SIAM J. Numer. Anal., 49:6 (2011), 2564-2575.
- (with X. Ye and S. Zhang) Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations, SIAM J. Numer. Anal., 49:5 (2011), 1761-1787, CORRECTION.
- (with S. Zhang) Robust residual- and recovery-based a posteriori error estimators for interface problems with flux jumps, Numer. Methods Part. Diff. Eqs. , 28:2 (2012), 476-491 (published online 10/25/2010).
- (with S. Zhang) Flux recovery and a posteriori error estimators: conforming elements for scalar elliptic equations, SIAM J. Numer. Anal., 48:2 (2010), 578-602.
Other：