Title: Multigrid Methods Multigrid Methods Synonyms

Multigrid (MG) methods are used to approximate solutions to elliptic partial differential equations (PDEs) by iteratively improving the solution through a sequence of coarser discretizations or grids. The methodology has been developed and extended since the 1970’s to also target more general PDEs and systems of algebraic equations. A typical approach consists of a series of refinements or grids, where an approximate solution is iteratively improved through a combination relaxation — e.g. Gauss-Seidel — and defect corrections — e.g. using projections to coarser, smaller grids.