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Jim E. Jones
Semicoarsening Multigrid with Prerelaxed Target Vectors

Applied Mathematics
Florida Institute of Technology
150 West University Blvd
Melbourne
FL 32901
jim@fit.edu

Robust semicoarsening multigrid algorithms typically construct an interpolation operator using the matrix coefficients and an assumption that the error to be interpolated is essentially constant in the noncoarsened direction. This means that the interpolation operator is constructed to exactly interpolate the vector of all ones. In this talk we investigate the performance of the method when this target vector of all ones is replaced by a vector obtained from relaxation on the homogeneous problem as in bootstrap multigrid methods.





Copper Mountain Conference 2011-02-20