Improved spectral multigrid methods for periodic elliptic problems
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TL;DR
Several modifications are introduced, including a midpoint pseudospectral discretization which eliminates the need for filtering the highest Fourier mode and new relaxation schemes for isotropic and anisotropic problems.
Abstract
The spectral multigrid method for periodic elliptic problems is examined. Several modifications are introduced, including a midpoint pseudospectral discretization which eliminates the need for filtering the highest Fourier mode and new relaxation schemes for isotropic and anisotropic problems. Numerical results are presented demonstrating substantial increases in efficiency and accuracy over previous methods.