Research Article
Shape-Free Finite Element Method: Another Way between Mesh and Mesh-Free Methods
Table 2
Results at selected locations for the pure bending problem (Figure
2).
| | | Q8 | Q9L | HSF-Q8-15 | Exact |
| Mesh 1 | () | 120.000 | 120.000 | 120.000 | 120.0 | () | −120.000 | −120.000 | −120.000 | −120.0 | v() × 103 | −12.000 | −12.000 | −12.000 | −12.0 |
| Mesh 2 | () | 56.447 | 120.000 | 120.000 | 120.0 | () | −74.863 | −120.000 | −120.000 | −120.0 | v() × 103 | −2.328 | −12.000 | −12.000 | −12.0 |
| Mesh 3 | () | 13.665 | 120.000 | 120.000 | 120.0 | ( | 5.262 | 120.000 | 120.000 | 120.0 | ( | −5.665 | −120.000 | −120.000 | −120.0 | () | −14.299 | −120.000 | −120.000 | −120.0 | v() × 103 | −0.477 | −12.000 | −12.000 | −12.0 |
| Mesh 4 | () | — | — | 120.000 | 120.0 | () | — | — | −120.000 | −120.0 | v() × 103 | — | — | −12.000 | −12.0 |
| Mesh 5 | () | — | — | 120.000 | 120.0 | () | — | — | −120.000 | −120.0 | v() × 103 | — | — | −12.000 | −12.0 |
| Mesh 6 | () | — | — | 120.000 | 120.0 | () | — | — | 120.000 | 120.0 | () | — | — | −120.000 | −120.0 | () | — | — | −120.000 | −120.0 | v() × 103 | — | — | −12.000 | −12.0 |
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