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Jukka Aho 31ecd6c0dc docs(book): Update Lagrange basis generation references

- Changed generator path: scripts/generate_lagrange_basis.jl → src/basis/lagrange_generator.jl
- Updated execution command: now run directly with julia --project=.
- Consolidated "See Also" section: removed duplicate generator reference
- Clarified generator role: symbolic engine AND generation script in single file
- Updated comment explaining basis functions are pregenerated (not runtime)

2025-11-09 08:27:18 +02:00

benchmarks

feat: Separation of concerns architecture with zero-allocation foundation

2025-11-09 05:46:34 +02:00

element_architecture.md

feat: Separation of concerns architecture with zero-allocation foundation

2025-11-09 05:46:34 +02:00

lagrange_basis_functions.md

docs(book): Update Lagrange basis generation references

2025-11-09 08:27:18 +02:00

README.md

Integrate topology/integration modules with comprehensive testing

2025-11-09 06:13:40 +02:00

roadmap_to_hpc.md

docs: Add 'Roadmap to HPC' - justifying hard performance choices

2025-11-09 05:01:34 +02:00

README.md

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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?