Compact stencil

In mathematics, especially in the areas of numerical analysis called numerical partial differential equations, a compact stencil is a type of stencil that uses only nine nodes for its discretization method in two dimensions.

Description

It uses only the center node and the adjacent nodes.

For any structured grid utilizing a compact stencil in 1, 2, or 3 dimensions the maximum number of nodes is 3, 9, or 27 respectively.

Compact stencils may be compared to non-compact stencils.

Compact stencils are currently implemented in many partial differential equation solvers, including several in the topics of CFD, FEA, and other mathematical solvers relating to PDE's.

See also

• Five-point stencil
• Non-compact stencil
• Stencil (numerical analysis)

External links

• Compact stencil @ Wikipedia