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**Three Manuals for Three Audiences:** 1. **User Manual** (docs/user/) - "Just Get It Done" - For end users, engineers, students - Simple, practical, step-by-step - Quick start, tutorials, examples, troubleshooting - Philosophy: Show me how to solve my problem 2. **Contributor Manual** (docs/contributor/) - "Show Me the Code" - For developers, contributors, advanced users - Technical, detailed, design rationale - Testing, architecture, performance, CI/CD - Philosophy: Explain HOW and WHY 3. **The JuliaFEM Book** (docs/book/) - "Let Me Show You How I Think" - For researchers, theory nerds, and Jukka - Comprehensive, educational, opinionated, personal - Math foundations, design philosophy, history, research - Philosophy: Mix theory, code, and personal experience **Reorganization:** - Moved: TESTING_PHILOSOPHY.md → contributor/testing_philosophy.md - Moved: STATUS.md → contributor/status.md - Moved: TEST_FIXES_NEEDED.md → contributor/test_fixes_needed.md - Moved: lagrange_basis_functions.md → book/lagrange_basis_functions.md - Moved: benchmarks/ → book/benchmarks/ - Created: docs/README.md (main index explaining structure) - Created: README.md in each section explaining audience and contents - Updated: All references in scripts and source files **Naming:** All docs now lowercase (testing_philosophy not TESTING_PHILOSOPHY) **Benefits:** - Clear separation of concerns - Users don't get overwhelmed with implementation details - Contributors get technical depth - Book preserves deep theory and personal insights - Each manual optimized for its audience **Next:** Populate each section with appropriate content
The JuliaFEM Book
Audience: Advanced researchers, theory nerds, those who want to understand the "why" and "how" at a deep level. And Jukka.
This is the JuliaFEM Bible - a comprehensive manual mixing theory, philosophy, software design, and personal experience. It's educational, opinionated, and unapologetically deep.
What's Here
- Mathematical Foundations: Lagrange basis functions, weak forms, contact mechanics
- Design Philosophy: Why JuliaFEM exists, what problems it solves (and doesn't)
- Technical Vision: Strategic mistakes from 2015-2019, lessons learned
- Research Directions: Experimental ideas (nodal assembly, matrix-free, etc.)
- Personal Notes: The journey, the failures, the "aha!" moments
- Theory + Code: How mathematics becomes software
What's NOT Here
- "How do I install?" (see
docs/user/) - "How do I add a feature?" (see
docs/contributor/) - Short answers (everything here is DEEP)
Philosophy
"Let me show you how I think about FEM."
This is:
- Educational: Teach FEM through implementation
- Personal: Written in Jukka's voice, reflecting 8+ years of experience
- Opinionated: Strong views on what works and what doesn't
- Comprehensive: From first principles to cutting-edge research
- Honest: Documents failures as much as successes
We assume you:
- Love mathematics AND programming
- Want to understand WHY, not just HOW
- Have time to read deeply
- Are curious about unconventional approaches
- Might be me, 5 years from now, trying to remember why I did this
Structure
Part I: Foundations
- Finite Element Method (brief review)
- Lagrange Basis Functions (deep dive)
- Assembly and Solving
- Contact Mechanics
Part II: Software Design
- Type Stability and Performance
- Zero-Allocation Design
- Immutability and Composition
- Field System Architecture
Part III: History and Vision
- Strategic Mistakes (2015-2019)
- Why JuliaFEM is Different
- Contact Mechanics Focus
- Laboratory Philosophy
Part IV: Research
- Nodal Assembly (experimental)
- Matrix-Free Methods
- Automatic Differentiation
- GPU Acceleration
Part V: The Journey
- Personal Reflections
- Lessons Learned
- Future Directions
- Open Questions
Reading Guide
- For Theory: Start with Part I
- For Design Rationale: Start with Part II
- For History: Start with Part III
- For Research Ideas: Start with Part IV
- For Philosophy: Read Part V first, then everything else
Start here: Mathematical Foundations | Strategic Mistakes | Why JuliaFEM?