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Basic Iterative Methods
Elements of Multigrid
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Achi Brandt algebraic error algorithm array basic multigrid boundary value problems chapter Cl2h coarse grid correction coarser coarsest computed convergence rate cost damped denoted eigenvalues eigenvectors energy budget error norm exact solution finest grid FMV cycle Fourier modes full multigrid full weighting operator Gauss-Seidel iteration Gauss-Seidel method global error grid correction operator grid correction scheme grid points grid spacing grid vectors high-frequency initial error initial guess consisting interpolation operator iteration matrix iterative methods kth mode level of truncation low-frequency maximum norm modes of Ah multigrid methods nested iteration null space one-dimensional model problem one-dimensional problem oscillatory components oscillatory modes plotted properties range of interpolation red-black Gauss-Seidel relaxation methods relaxation sweeps residual equation right-hand side shows smooth and oscillatory smooth components smooth error smooth modes solving spectral spectral radius subroutine subspaces two-dimensional updated V-cycle scheme wave wavenumbers weighted Jacobi iteration weighted Jacobi method zero