ReferenceAlpha
Shape Optimization
(I-r_f^2 Delta_G) d_boundary = control; Delta_G d_mesh = 0 with fixed and controlled Dirichlet boundaries
Reference
| Field | Value | Description |
|---|---|---|
| area | Mathematics / Optimization | — |
| boundaryFeatures | [{"assemblyRole":"none","displayName":"Free Shape Boundary","entityDimensions":["boundary"],"fields":[{"default":"Pointwise","name":"controlParameterization","required":false,"valueType":"enum","values":["Pointwise","Uniform"]},{"default":[true,true,true],"name":"components","required":true,"valueType":"vector"},{"default":["-0.1[m]","-0.1[m]","-0.1[m]"],"name":"lowerBound","required":true,"unit":"m","valueType":"vector"},{"default":["0.1[m]","0.1[m]","0.1[m]"],"name":"upperBound","required":true,"unit":"m","valueType":"vector"},{"default":["0[m]","0[m]","0[m]"],"name":"initialValue","required":true,"unit":"m","valueType":"vector"},{"default":"0[m]","name":"filterRadius","required":false,"unit":"m","valueType":"expression"}],"kind":"Free Shape Boundary","multiple":false,"parentCategory":"physics","role":"exclusive","targetField":"d"},{"assemblyRole":"essential","displayName":"Fixed Mesh Boundary","entityDimensions":["boundary"],"fields":{},"kind":"Fixed Mesh Boundary","multiple":false,"parentCategory":"physics","role":"exclusive","targetField":"d"}] | — |
| childCategories | ["physics.domain","physics.boundary"] | — |
| defaultMaterial | null | — |
| displayName | Shape Optimization | — |
| domainFeatures | [] | — |
| kind | Shape Optimization | — |
| materialSchema | [] | — |
| publishedFields | [{"components":3,"displayName":"Mesh displacement","expression":"shape.d","name":"shape.d","plottable":true,"rank":"vector","studies":["optimization","sensitivity"],"unit":"m"},{"components":1,"displayName":"Mesh displacement magnitude","expression":"norm(shape.d)","name":"shape.disp","plottable":true,"rank":"scalar","studies":["optimization","sensitivity"],"unit":"m"}] | — |
| status | development | — |
| studies | ["Optimization","Sensitivity"] | — |
| studyCapabilities | [{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Distributed free-shape reference implementation awaits benchmark certification."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Distributed free-shape reference implementation awaits benchmark certification."}] | — |
| tag | shape | — |
| visible | false | — |
(I-r_f^2 Delta_G) d_boundary = control; Delta_G d_mesh = 0 with fixed and controlled Dirichlet boundaries
Contract
| Property | Value |
|---|---|
| area | Mathematics / Optimization |
| boundaryFeatures | [{"assemblyRole":"none","displayName":"Free Shape Boundary","entityDimensions":["boundary"],"fields":[{"default":"Pointwise","name":"controlParameterization","required":false,"valueType":"enum","values":["Pointwise","Uniform"]},{"default":[true,true,true],"name":"components","required":true,"valueType":"vector"},{"default":["-0.1[m]","-0.1[m]","-0.1[m]"],"name":"lowerBound","required":true,"unit":"m","valueType":"vector"},{"default":["0.1[m]","0.1[m]","0.1[m]"],"name":"upperBound","required":... |
| childCategories | ["physics.domain","physics.boundary"] |
| defaultMaterial | null |
| displayName | Shape Optimization |
| domainFeatures | [] |
| kind | Shape Optimization |
| materialSchema | [] |
| publishedFields | [{"components":3,"displayName":"Mesh displacement","expression":"shape.d","name":"shape.d","plottable":true,"rank":"vector","studies":["optimization","sensitivity"],"unit":"m"},{"components":1,"displayName":"Mesh displacement magnitude","expression":"norm(shape.d)","name":"shape.disp","plottable":true,"rank":"scalar","studies":["optimization","sensitivity"],"unit":"m"}] |
| status | development |
| studies | ["Optimization","Sensitivity"] |
| studyCapabilities | [{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Distributed free-shape reference implementation awaits benchmark certification."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Distributed free-shape reference implementation awaits benchmark certification."}] |
| tag | shape |
| visible | false |