ReferenceAlpha
Coefficient Form PDE
-div(c grad(u)) = f
Reference
| Field | Value | Description |
|---|---|---|
| area | Mathematics / PDE Interfaces | — |
| boundaryFeatures | [{"assemblyRole":"none","displayName":"Dirichlet Boundary Condition","entityDimensions":["boundary"],"fields":[{"default":"0","name":"r","required":true,"unit":"1","valueType":"expression"}],"kind":"Dirichlet Boundary Condition","multiple":true,"parentCategory":"physics","role":"exclusive"},{"assemblyRole":"none","displayName":"Flux Boundary Condition","entityDimensions":["boundary"],"fields":[{"default":"0","name":"g","required":true,"unit":"1","valueType":"expression"}],"kind":"Flux Boundary Condition","multiple":true,"parentCategory":"physics","role":"contributing"}] | — |
| childCategories | ["physics.domain","physics.boundary"] | — |
| defaultMaterial | null | — |
| displayName | Coefficient Form PDE | — |
| domainFeatures | [{"assemblyRole":"none","displayName":"Coefficient Form Equation","entityDimensions":["domain"],"fields":[{"default":"1","name":"c","required":true,"unit":"1","valueType":"expression"},{"default":"0","name":"a","required":true,"unit":"1","valueType":"expression"},{"default":"0","name":"f","required":true,"unit":"1","valueType":"expression"}],"kind":"Coefficient Form Equation","multiple":true,"parentCategory":"physics","required":false}] | — |
| kind | Coefficient Form PDE | — |
| materialSchema | [] | — |
| publishedFields | [{"components":1,"displayName":"Coefficient-form solution","expression":"cfpde.u","name":"cfpde.u","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"1"},{"components":1,"displayName":"Coefficient-form energy","expression":"energy","name":"cfpde.energy","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"J"},{"components":1,"displayName":"Coefficient-form compliance","expression":"2*energy","name":"cfpde.compliance","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"J"}] | — |
| status | development | — |
| studies | ["Stationary","Sensitivity","Optimization","Eigenvalue"] | — |
| studyCapabilities | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Stationary is unavailable for this physics interface."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Sensitivity is unavailable for this physics interface."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Optimization is unavailable for this physics interface."},{"certified":false,"differentiability":"exact-ad","kind":"eigenvalue","reason":"Eigenvalue is unavailable for this physics interface."}] | — |
| tag | cfpde | — |
| visible | false | — |
-div(c grad(u)) = f
Contract
| Property | Value |
|---|---|
| area | Mathematics / PDE Interfaces |
| boundaryFeatures | [{"assemblyRole":"none","displayName":"Dirichlet Boundary Condition","entityDimensions":["boundary"],"fields":[{"default":"0","name":"r","required":true,"unit":"1","valueType":"expression"}],"kind":"Dirichlet Boundary Condition","multiple":true,"parentCategory":"physics","role":"exclusive"},{"assemblyRole":"none","displayName":"Flux Boundary Condition","entityDimensions":["boundary"],"fields":[{"default":"0","name":"g","required":true,"unit":"1","valueType":"expression"}],"kind":"Flux Boundar... |
| childCategories | ["physics.domain","physics.boundary"] |
| defaultMaterial | null |
| displayName | Coefficient Form PDE |
| domainFeatures | [{"assemblyRole":"none","displayName":"Coefficient Form Equation","entityDimensions":["domain"],"fields":[{"default":"1","name":"c","required":true,"unit":"1","valueType":"expression"},{"default":"0","name":"a","required":true,"unit":"1","valueType":"expression"},{"default":"0","name":"f","required":true,"unit":"1","valueType":"expression"}],"kind":"Coefficient Form Equation","multiple":true,"parentCategory":"physics","required":false}] |
| kind | Coefficient Form PDE |
| materialSchema | [] |
| publishedFields | [{"components":1,"displayName":"Coefficient-form solution","expression":"cfpde.u","name":"cfpde.u","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"1"},{"components":1,"displayName":"Coefficient-form energy","expression":"energy","name":"cfpde.energy","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"J"},{"components":1,"displayName":"Coefficient-form compliance","expression":"2*energy","name":"cfpde.co... |
| status | development |
| studies | ["Stationary","Sensitivity","Optimization","Eigenvalue"] |
| studyCapabilities | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Stationary is unavailable for this physics interface."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Sensitivity is unavailable for this physics interface."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Optimization is unavailable for this physics interface."},{"certified":false,"differentiability":"exact-ad","kind":"eigenvalue","reason":"Ei... |
| tag | cfpde |
| visible | false |