ReferenceAlpha
Scalar weak equation
Governing equation `Scalar weak equation` declared by physics interface `Weak Form PDE`.
Reference
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | \int_{\Omega} F(u,\nabla u,\mathrm{test}(u),\nabla\mathrm{test}(u))\,d\Omega=0 | — |
| mathml | <math display="block"><mrow><mo>∫</mo><mi>F</mi><mo>d</mo><mi>Ω</mi><mo>=</mo><mn>0</mn></mrow></math> | — |
| name | Scalar weak equation | — |
| section | governing-equation | — |
Governing equation Scalar weak equation declared by physics interface Weak Form PDE.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | \int_{\Omega} F(u,\nabla u,\mathrm{test}(u),\nabla\mathrm{test}(u))\,d\Omega=0 |
| mathml | <math display="block"><mrow><mo>∫</mo><mi>F</mi><mo>d</mo><mi>Ω</mi><mo>=</mo><mn>0</mn></mrow></math> |
| name | Scalar weak equation |
| section | governing-equation |