 Jukka Aho
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7b875dd117
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test: Add nodal assembly data structures validation
- Tests NodeToElementsMap inverse connectivity (node → elements touching it)
- Validates "spider" pattern: set of nodes coupled to given node via shared elements
- Simple Tet4 mesh: 2 elements sharing face, tests node-element relationships
- Spider coupling patterns: corner nodes (1 element), shared nodes (2 elements)
- NodalStiffnessContribution storage: K_blocks (3×3 tensors), f_int, f_ext (Vec{3})
- Matrix-vector product: w_i = ∑_j K_ij ⊡ u_j (nodal assembly operation)
- Spider efficiency check: 2×2×2 hex mesh shows sparse coupling
- Corner node: 8 couplings
- Center node: 27 couplings (max for structured mesh)
- Key insight: only compute non-zero blocks (not full 81×81 matrix)
- Diagnostic output showing spider structure and coupling patterns
- 208 lines validating nodal assembly infrastructure with Tensors.jl
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2025-11-12 00:07:01 +02:00 |
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