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Introduction
Multigrid One-Shot Methods and Design Strategy
Shlomo Ta'asan
Carnegie Mellon University
Introduction
Review of Multigrid Basics
Full Approximation Scheme (FAS)
Smoothing and h-ellipticity
Multigrid Approaches for Optimization Problems
Multigrid Methods for the Constraints
Multigrid for the Full Optimization Problem
One-Shot Multigrid Methods
Discretization Issues
Coarse Grid Optimization Problems
Relaxation
Design Space of a Small Dimension
Design Space of Moderate Size
Infinite Dimensional Design Space
Full Multigrid
Bibliography
About this document ...
Shlomo Ta'asan 2001-08-22