Jukka Aho 52ebe682e9 fix: Standardize on Tensors.jl Vec type throughout ...

Major architectural decision: Use Tensors.jl consistently everywhere
for geometric vectors, integration points, and coordinates.

Changes to src/elements/elements.jl:
- get_basis(): Convert ip to Vec, use Vector (not Matrix) for eval_basis!
- get_dbasis(): Convert ip to Vec
- jacobian evaluation: Convert geometry and ip.coords to Vec properly
- Handle both raw coordinates (Tuple) and IP struct transparently

New Tutorial 3: Numerical Integration and Jacobian (49 tests)
- Integration point structure and weights
- Jacobian determinant and matrix evaluation
- Numerical integration (constant, linear, quadratic functions)
- Multiple element types (Quad4, Seg2, Tri3)

Tests: 107 → 156 passing (49 new)
Runtime: ~7 seconds

Closes architectural standardization on Tensors.jl.
Related to Issue #250 (merge conflict resolution).

Why Tensors.jl:
- Type stability (100× performance vs Dict-based)
- Material science compatibility (stress tensors)
- Zero-cost abstractions
- Consistent API across all geometric calculations

2025-11-09 03:10:11 +02:00

..

01_fundamentals

fix: Standardize on Tensors.jl Vec type throughout

2025-11-09 03:10:11 +02:00