Ferrite-FEM/Ferrite.jl

SFC reordering

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#1,300 opened on Mar 9, 2026

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Description

In my FerriteCon 2025 talk I have shown how to use Gecko orderings to boos assembly performance (see github.com/termi-official/ferritecon2025-graph-ordering for code and https://www.youtube.com/watch?v=jkCp3q5UOkw for a recording of the talk if more details are needed). However, Gecko solves a full graph linear arrangement problem. A cheaper alternative is to use the use the cell centers of each element, put an quad/octree (in 2D/3D) over this set of points until each leaf only has at most a single node. We then reorder the elements to follow the SFC of the octree (morton order/hilbert order/...). This way we also preserve locality of the elements. The same can be done with the nodes.

Contributor guide

Research direction
Study space filling curve ordering (e.g., Morton or Hilbert) and implement a quad/octree based reordering of elements and nodes in Ferrite.jl. Look at existing implementations in other FEM codes for reference.
Tech stack
julia
Domain
backendperformance
Issue type
Feature
DifficultyEstimated implementation difficulty for a new contributor, from 1 for very small changes to 5 for expert-level work.
2
Estimated timeA rough time range for an experienced contributor to investigate, implement, test, and prepare a pull request.
1-2 days
Activity statusHow available the issue appears right now: fresh, active, stale, blocked, or waiting on maintainer input.
Fresh
ClarityHow clearly the issue explains the expected change, acceptance criteria, and next step.
Mostly clear
Prerequisites
JuliaGit
Newbie friendlinessA 1-100 score estimating how approachable this issue is for first-time contributors.
65