RCM Numberer

The Reverse Cuthill-McKee (RCM) numberer implements the RCM algorithm to reduce the bandwidth of the system matrix by optimizing the equation numbering scheme.

Description

The RCM numberer: - Uses graph theory to minimize matrix bandwidth - Reorders DOFs to create a more compact matrix structure - Reduces memory requirements and computational cost - Implemented as a singleton to ensure consistent numbering across the model

Parameters

Parameter	Type	Description
None		This numberer doesn’t take any parameters

Usage Example

# Create a Femora instance


# Get an RCM numberer
fm.analysis.numberer.get_numberer("RCM")

Notes

• Optimizes matrix bandwidth through node reordering

• Particularly effective for problems with regular mesh patterns

• Can significantly reduce memory requirements

• May require more setup time than Plain numberer

• Recommended for medium to large-scale problems

• Especially beneficial when using direct solvers