Abstract:In this paper, a new interpolation operator is designed basin onred-black coarsening. Combining the interpolation operator, acascadic algebraic two-grid (CATG) method and a cascadic algebraictwo-level (CATL) method for the elliptic problems of second orderare presented. Numerical experiments show that the betterapproximate value is obtained without smoothing on finer level, andthe new methods reduce computational cost.
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