Multigrid Methods
Author: Peter B. Worland
Most physical phenomena, whether in the area of fluid dynamics, electricity, magnetism, heat flow and other domains can be described by PDEs. MG was first successfully applied to PDEs that have outcomes that change with respect to space but not time, and are referred to as elliptic boundaryvalue problems. Many numerical methods for these problems compute an approximate solution by replacing the original continuous problem defined by the PDE with a discrete problem:
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