 ##  [Multigrid Method](/multigrid-method) 

  ##  [Multigrid Method](https://mathlogic.quantumdictionary.io/multigrid-method-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A hierarchical iterative solver approach that accelerates convergence for discretized linear (and some nonlinear) PDEs by operating on a sequence of discretization levels: smoothing high-frequency error on fine grids, transferring residuals to coarser grids to eliminate low-frequency error, correcting approximations, and interpolating corrections back to finer levels.