Questions tagged [prolongation]

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Prolongation and restriction operators in multigrid for high order PDEs

If I have the Poisson equation $\Delta u = f$ a standard transfer operator (for a regular grid) is the full weighting/bilinear interpolation scheme: $$K = \frac{1}{4}\begin{bmatrix}\frac{1}{4} & \...
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Geometric multigrid transfer operators constraints

I have been reading up on constraints used to construct prolongation and restriction operators for geometric multigrid. One such constraint is that the prolongation matrix is the transpose of the ...