Mathematics Genealogy Project

Qingmi He, Ph.D. 2000

Dissertation: A Theoretical Study of Three Dimensional Nonoverlapping Domain Decomposition Methods

Paper:

Susanne C. Brenner and Qingmi He, Lower bounds for three-dimensional nonoverlapping domain decomposition methods, Numer.Math., 93 (2003) pp. 445-470

Jie Zhao, Ph.D. 2004

Dissertaion: Multigrid Methods for Fourth Order Problems

Papers:

Jie Zhao, Convergence of V-cycle and F-cycle multigrid methods for the biharmonic problem using the Morley element, ETNA, 17 (2004) pp. 112-132

Jie Zhao, Convergence of V-cycle and F-cycle multigrid methods for the biharmonic problem using the Hsieh-Clough-Tocher element, Numer. Methods PDE, 21 (2005) pp. 451-471

Susanne C. Brenner, Kening Wang and Jie Zhao, Poincaré-Friedrichs inequalities for piecewise $H\sp 2$ functions. Numer. Funct. Anal. Optim., 25 (2004) pp. 463-478

Susanne C. Brenner and Jie Zhao, Convergence of multigrid algorithms for interior penalty methods, Appl. Num. Anal. Comp. Math., 2 (2005) pp. 3-18

Kening Wang, Ph.D. 2006

Papers:

Susanne C. Brenner, Kening Wang and Jie Zhao, Poincaré-Friedrichs inequalities for piecewise $H\sp 2$ functions. Numer. Funct. Anal. Optim., 25 (2004) pp. 463-478

Susanne C. Brenner and Kening Wang, Two-level additive Schwarz preconditioners for $C^0$ interior penalty methods, Report 2004:15, IMI, University of South Carolina

Shuang Li and Kening Wang, Condition number estimates for C^0 interior penaly methods" DD16 proceedings

Luke Owens, Ph.D. in progress

Jintao Cui, Ph.D. in progress