 Jukka Aho
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46b0cd3927
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docs(book): Add comprehensive Gmsh to physics tutorial
New file: docs/book/gmsh_tutorial.md (544 lines)
Complete educational resource addressing Issue #183:
Step 1: Mesh Generation with Gmsh
- Why Gmsh (features, academic adoption)
- .geo file syntax and concepts
- Mesh generation commands
- Understanding .msh format
Step 2: Weak Formulation (Theory)
- Strong form → weak form derivation
- Galerkin approximation
- M du/dt + K u = f system
Step 3: FEM Assembly in JuliaFEM
- Loading meshes
- Creating problems and elements
- Boundary conditions (Dirichlet, Neumann)
- Assembly process internals
Step 4: Extracting Matrices (Issue #183 core answer)
- How to get K, M, f after assembly
- Why extract (5 use cases)
- Integration with DifferentialEquations.jl
- Complete working example
Step 5: Method of Lines
- PDE → ODE spatial discretization strategy
- Separation of space/time concerns
- Modularity benefits
Plus: Comparison (built-in vs external), Extensions (nonlinear, 3D,
parallel, GPU), Troubleshooting, References
Demonstrates 'laboratory not fortress' philosophy
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2025-11-09 23:24:15 +02:00 |
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