ReferenceAvailable
Electrostatic Poisson equation
Governing equation `Electrostatic Poisson equation` declared by physics interface `Electrostatics`.
Reference
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | -\nabla\!\cdot\!\left(\boldsymbol{\epsilon}\nabla V\right)=\rho_q | — |
| mathml | <math display="block"><mrow><mo>−</mo><mo>∇</mo><mo>·</mo><mo>(</mo><mi mathvariant="bold">ϵ</mi><mo>∇</mo><mi>V</mi><mo>)</mo><mo>=</mo><msub><mi>ρ</mi><mi>q</mi></msub></mrow></math> | — |
| name | Electrostatic Poisson equation | — |
| section | governing-equation | — |
Governing equation Electrostatic Poisson equation declared by physics interface Electrostatics.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | -\nabla\!\cdot\!\left(\boldsymbol{\epsilon}\nabla V\right)=\rho_q |
| mathml | <math display="block"><mrow><mo>−</mo><mo>∇</mo><mo>·</mo><mo>(</mo><mi mathvariant="bold">ϵ</mi><mo>∇</mo><mi>V</mi><mo>)</mo><mo>=</mo><msub><mi>ρ</mi><mi>q</mi></msub></mrow></math> |
| name | Electrostatic Poisson equation |
| section | governing-equation |