Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid.

Hu, Xiaozhe.

Vasilevski, Panaĭot.

Xu, Jinchao, 1961-


  • The main purpose of this paper is to provide a comprehensive convergence analysis of the nonlinear algebraic multilevel iteration (AMLI)-cycle multigrid (MG) method for symmetric positive definite problems. Based on classical assumptions for approximation and smoothing properties, we show that the nonlinear AMLI-cycle MG method is uniformly convergent. Furthermore, under only the assumption that ... read more
This object is in collection Creator department Subject Permanent URL Citation
  • Hu, Xiaozhe, Panayot S. Vassilevski, and Jinchao Xu. "Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid." SIAM Journal on Numerical Analysis 51, no. 2 (January 2013): 1349-69.
To Cite:
TARC Citation Guide    EndNote
Detailed Rights