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83 lines
2.6 KiB
Markdown
83 lines
2.6 KiB
Markdown
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# The JuliaFEM Book
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**Audience:** Advanced researchers, theory nerds, those who want to understand the "why" and "how" at a deep level. And Jukka.
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This is the **JuliaFEM Bible** - a comprehensive manual mixing theory, philosophy, software design, and personal experience. It's educational, opinionated, and unapologetically deep.
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## What's Here
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- **Mathematical Foundations:** Lagrange basis functions, weak forms, contact mechanics
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- **Design Philosophy:** Why JuliaFEM exists, what problems it solves (and doesn't)
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- **Technical Vision:** Strategic mistakes from 2015-2019, lessons learned
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- **Research Directions:** Experimental ideas (nodal assembly, matrix-free, etc.)
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- **Personal Notes:** The journey, the failures, the "aha!" moments
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- **Theory + Code:** How mathematics becomes software
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## What's NOT Here
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- "How do I install?" (see `docs/user/`)
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- "How do I add a feature?" (see `docs/contributor/`)
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- Short answers (everything here is DEEP)
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## Philosophy
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**"Let me show you how I think about FEM."**
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This is:
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- **Educational:** Teach FEM through implementation
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- **Personal:** Written in Jukka's voice, reflecting 8+ years of experience
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- **Opinionated:** Strong views on what works and what doesn't
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- **Comprehensive:** From first principles to cutting-edge research
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- **Honest:** Documents failures as much as successes
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We assume you:
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- Love mathematics AND programming
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- Want to understand WHY, not just HOW
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- Have time to read deeply
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- Are curious about unconventional approaches
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- Might be me, 5 years from now, trying to remember why I did this
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## Structure
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### Part I: Foundations
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- Finite Element Method (brief review)
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- Lagrange Basis Functions (deep dive)
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- Assembly and Solving
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- Contact Mechanics
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### Part II: Software Design
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- Type Stability and Performance
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- Zero-Allocation Design
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- Immutability and Composition
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- Field System Architecture
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### Part III: History and Vision
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- Strategic Mistakes (2015-2019)
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- Why JuliaFEM is Different
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- Contact Mechanics Focus
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- Laboratory Philosophy
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### Part IV: Research
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- Nodal Assembly (experimental)
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- Matrix-Free Methods
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- Automatic Differentiation
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- GPU Acceleration
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### Part V: The Journey
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- Personal Reflections
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- Lessons Learned
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- Future Directions
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- Open Questions
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## Reading Guide
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- **For Theory:** Start with Part I
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- **For Design Rationale:** Start with Part II
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- **For History:** Start with Part III
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- **For Research Ideas:** Start with Part IV
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- **For Philosophy:** Read Part V first, then everything else
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---
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**Start here:** [Mathematical Foundations](foundations.md) | [Strategic Mistakes](strategic_mistakes.md) | [Why JuliaFEM?](philosophy.md)
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