Multi-series analysis of result changes, trends, observed order and asymptote over successive FEA meshes.
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Compares observed quantities on successive meshes, distinguishes the full-series trend from the three-level estimation window, and reports refinement metadata.
Schema: mesh_convergence_analyzer v1
CSV uses commas, a dot decimal separator, and the required id, h and elements columns. Other columns become observed quantities.
For coarse, medium and fine values Οβ, Οβ and Οβ, the observed order is p = ln| (Οβ β Οβ) / (Οβ β Οβ) | / ln(r).
The estimate uses Οβ = Οβ + (Οβ β Οβ) / (rα΅ β 1). It is an asymptotic estimate, not an exact reference value.
The two refinement ratios must differ by no more than 10%. Within that tolerance, r is their arithmetic mean; outside it, no order or asymptote is reported.
The observed order and asymptotic estimate use the three finest, approximately geometrically refined levels. This result alone does not demonstrate mesh independence.
| ID | Characteristic mesh size h | Elements | Nodes | Degrees of freedom | Solve time [s] | Refinement ratio rβ | Element-count multiplier | Node-count multiplier | Degree-of-freedom multiplier | Solve-time multiplier | Stress [MPa] | Displacement [mm] |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| coarse | 0.4 | 100 | 80 | 240 | 1.2 | β | β | β | β | β | 10.16 | 2.32 |
| medium | 0.2 | 400 | 300 | 900 | 3.8 | Γ2 | Γ4 | Γ3.75 | Γ3.75 | Γ3.16667 | 10.04 | 2.08 |
| fine | 0.1 | 1,600 | 1,200 | 3,600 | 14.1 | Γ2 | Γ4 | Γ4 | Γ4 | Γ3.71053 | 10.01 | 2.02 |
| very-fine | 0.05 | 6,400 | 4,700 | 14,100 | 52.8 | Γ2 | Γ4 | Γ3.91667 | Γ3.91667 | Γ3.74468 | 10.0025 | 2.005 |