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JuliaFEM.jl/docs
Jukka Aho 4809fe1633 docs(book): Add comprehensive zero-allocation field storage design
Create 1114-line design document exploring type-stable field storage to eliminate
Dict{String,Any} performance penalty from JuliaFEM v0.5.1.

Executive summary (lines 16-34):
- Measured results: 9-92× speedup over Dict, zero allocations in hot paths
- Constant field: 19.2ns → 2.1ns (9× faster, 0 allocs)
- Nodal field: 262ns, 3 allocs → 6.5ns, 0 allocs (40× faster)
- Cached interpolation: 2.6μs, 50 allocs → 53ns, 0 allocs (49× faster)
- Assembly (1000 elem): 109μs, 4000 allocs → 1.2μs, 0 allocs (92× faster)
- Type stability enables GPU execution and efficient MPI
- Validation: benchmarks/field_storage_comparison.jl

Problem analysis (lines 36-90):
- v0.5.1 Dict{String,Any} causes type instability
- Runtime dispatch overhead: ~50ns per access
- Interpolation: 127 allocations from type conversions
- Root cause: Any type prevents compiler optimization
- Impact: 100× slower than type-stable equivalent

Design constraints (lines 92-158):
1. Type stability - Julia must infer types at compile time
2. Zero allocations in hot paths (assembly loop critical)
3. Immutability for thread-safety by default
4. Preserve interpolation philosophy (nodal → Gauss points)
5. Element sets share properties (not per-element)

Solution 1: NamedTuple + Typed Fields (lines 160-456) - RECOMMENDED
- Field types: ConstantField{T}, NodalField{T}, ElementField{T,N}, TimeField{T,F}
- Zero-size constants, Matrix{T} for nodal, SVector for DG elements
- Accessor functions: value(f::ConstantField), value(f::NodalField, node_ids)
- Benchmarks: 9× (constant), 40× (nodal), 59× (interp), 49× (cached), 92× (assembly)
- Complete implementations with @inline, @view for zero allocation
- InterpolationCache struct for zero-allocation hot path

Solution 2: Macro-Generated Structs (lines 458-611)
- @fields macro for generating typed field containers
- Explicit field definitions with @constant, @nodal, @element, @temporal
- Generated constructors, accessors, validation
- Pros: Self-documenting, optimal code, extensible
- Cons: More complex, maintenance burden
- Decision: Start with NamedTuple, add macro if needed

Solution 3: Element Set Architecture (lines 613-774)
- ElementSet{E,F} groups elements sharing common properties
- Fields belong to sets, not individual elements
- Matches mesh organization and user mental model
- Zero-allocation assembly with shared fields
- Benchmark: 10× faster than per-element Dict, near-zero allocations

Implementation strategy (lines 776-940):
- Phase 1: Prototype and benchmark (week 1)
  * BenchmarkTools suite with performance assertions
  * Target: <5ns field access, <100ns interpolation, 0 allocs assembly
- Phase 2: Integration (weeks 2-3)
  * Update Element struct (remove fields, belongs to ElementSet)
  * Update Problem struct (vector of ElementSets)
  * Update assembly functions
- Phase 3: Migration and deprecation (week 4)
  * Deprecation warnings for old API
  * Update all examples to typed fields
  * Performance verification
- Phase 4: Documentation (week 5)
  * Architecture docs, tutorials, migration guide

Validation checklist (lines 942-974):
- Field type prototypes, access benchmarks (<5ns, 0 allocs)
- Interpolation benchmarks (<100ns, 0 allocs)
- Assembly benchmarks (0 allocs in loop)
- Threading tests, DG tests, vs v0.5.1 comparison (10× faster)
- Update Element/Problem structs, implement ElementSet
- Examples, CI benchmarks, documentation

Decision record (lines 976-1004):
- Decision: Use NamedTuple of typed field structs for v1.0
- Rationale: 10-50× speedup, type stability, simple (~200 LOC), immutable
- Breaking change: element.fields[name] deprecated
- Migration: Use ElementSet with NamedTuple fields
- Performance requirements: <5ns access, <100ns interp, 0 allocs assembly
- Status: Proposal ready for implementation

Complete benchmark suite (lines 1006-1114):
- Full executable benchmark code with 5 tests
- OLD (Dict) vs NEW (Typed) comparisons
- Mock element and basis functions
- Interpolation with/without cache
- Assembly loop (1000 elements)
- Summary showing 9-92× speedup validation
- Reproduction instructions

Platform: Julia 1.12.1, November 9, 2025
Series: The JuliaFEM Book, Chapter 5
Status: Proposal (validated by benchmarks)
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title, description, date, author, categories, keywords, type
title description date author categories keywords type
JuliaFEM Documentation Three-tier documentation structure for users, contributors, and researchers 2025-11-09 Jukka Aho
documentation
guide
juliafem
finite element
documentation
manual
index

JuliaFEM Documentation

Welcome! JuliaFEM documentation is organized into three manuals for three different audiences:


📘 User Manual - "Just Get It Done"

For: End users, engineers, students who want to run simulations.

Style: Simple, practical, step-by-step.

Contents:

  • Quick start and installation
  • Tutorials and examples
  • API reference
  • Troubleshooting

Philosophy: Show me how to solve my problem, skip the lectures.

👉 Start Here if you want to run simulations.


🔧 Contributor Manual - "Show Me the Code"

For: Developers, contributors, advanced users who want to extend JuliaFEM.

Style: Technical, detailed, design rationale.

Contents:

  • Testing philosophy
  • Code style and architecture
  • Performance guidelines
  • How to add elements
  • CI/CD and git workflow

Philosophy: Explain HOW the code works and WHY we made these choices.

👉 Start Here if you want to contribute code.


📖 The JuliaFEM Book - "Let Me Show You How I Think"

For: Advanced researchers, theory nerds, those who want to understand deeply. And Jukka.

Style: Comprehensive, educational, opinionated, personal.

Contents:

  • Mathematical foundations (Lagrange basis, contact mechanics, etc.)
  • Design philosophy and technical vision
  • Strategic mistakes and lessons learned (2015-2019)
  • Research directions (nodal assembly, matrix-free, etc.)
  • Personal reflections on the journey

Philosophy: Mix theory, software design, and personal experience. Teach FEM through implementation.

👉 Start Here if you love deep dives and want to understand the "why" behind everything.


Quick Navigation

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Documentation Philosophy

Why Three Manuals?

Different readers have different needs:

  1. Users don't care about implementation details - they just want working code.
  2. Contributors need technical depth but not necessarily all the theory.
  3. Researchers (and Jukka) want to understand everything from first principles.

Mixing these audiences in one manual makes it too complex for users and too shallow for researchers.

Design Principles

  • User Manual: Optimize for time-to-first-result
  • Contributor Manual: Optimize for correctness and maintainability
  • Book: Optimize for understanding and education

Cross-References

Manuals link to each other when appropriate:

  • User manual links to theory when deeper understanding helps
  • Contributor manual links to book for design rationale
  • Book links to code examples and practical guides

Contributing to Documentation

Documentation improvements are always welcome!

  • User docs: Fix errors, add examples, improve clarity
  • Contributor docs: Update for new features, clarify architecture
  • Book: Add theory, share insights, document research

See Contributor Manual for guidelines.


License: MIT (same as code)
Questions? Open an issue or discussion on GitHub