Coarse-grid operator (source code)

= Coarse-grid operator
{title2=$A_H=RA_hP$}

A <coarse-grid operator> represents the equation solved for an error correction on the coarser level of a <multigrid method>. It may be obtained by rediscretizing the differential equation at the coarse spacing, or through the <Galerkin coarse-grid operator> formula displayed above. Here $R$ transfers residuals to the coarse grid and $P$ transfers coarse corrections to the fine grid. The right-side and operator scalings must be consistent with the chosen transfer convention.