ReferenceAlpha
Mesh-quality inequality
Governing equation `Mesh-quality inequality` declared by physics interface `Shape Optimization`.
Reference
| Field | Value | Description |
|---|---|---|
| differentiability | semismooth | — |
| entity_dimension | global | — |
| latex | \min_{e\in\mathcal T}\frac{\det J_e(\mathbf x)}{\det J_e(\mathbf X)}>J_{\min} | — |
| mathml | <math display="block"><mrow><munder><mi>min</mi><mrow><mi>e</mi><mo>∈</mo><mi>𝒯</mi></mrow></munder><mfrac><mrow><mi>det</mi><msub><mi>J</mi><mi>e</mi></msub><mo>(</mo><mi mathvariant="bold">x</mi><mo>)</mo></mrow><mrow><mi>det</mi><msub><mi>J</mi><mi>e</mi></msub><mo>(</mo><mi mathvariant="bold">X</mi><mo>)</mo></mrow></mfrac><mo>></mo><msub><mi>J</mi><mi>min</mi></msub></mrow></math> | — |
| name | Mesh-quality inequality | — |
| section | constraint | — |
Governing equation Mesh-quality inequality declared by physics interface Shape Optimization.
Contract
| Property | Value |
|---|---|
| differentiability | semismooth |
| entity_dimension | global |
| latex | \min_{e\in\mathcal T}\frac{\det J_e(\mathbf x)}{\det J_e(\mathbf X)}>J_{\min} |
| mathml | <math display="block"><mrow><munder><mi>min</mi><mrow><mi>e</mi><mo>∈</mo><mi>𝒯</mi></mrow></munder><mfrac><mrow><mi>det</mi><msub><mi>J</mi><mi>e</mi></msub><mo>(</mo><mi mathvariant="bold">x</mi><mo>)</mo></mrow><mrow><mi>det</mi><msub><mi>J</mi><mi>e</mi></msub><mo>(</mo><mi mathvariant="bold">X</mi><mo>)</mo></mrow></mfrac><mo>></mo><msub><mi>J</mi><mi>min</mi></msub></mrow></math> |
| name | Mesh-quality inequality |
| section | constraint |