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Electrostatics

-div(epsilon*grad(V)) = rho

Reference contract

FieldValueDescription
areaAC/DC
boundaryFeatures[{"assemblyRole":"essential","displayName":"Electrical Terminal","entityDimensions":["boundary"],"fields":[{"default":"Terminal 1","name":"name","required":true,"valueType":"string"},{"default":"1[V]","name":"value","required":true,"unit":"V","valueType":"expression"},{"default":"","name":"circuitNode","required":false,"valueType":"string"}],"kind":"Terminal","multiple":true,"parentCategory":"physics","role":"exclusive","targetField":"V"},{"assemblyRole":"none","displayName":"Electric Potential","entityDimensions":["boundary","point"],"fields":[{"default":"0[V]","name":"value","required":true,"unit":"V","valueType":"expression"}],"kind":"Electric Potential","multiple":true,"parentCategory":"physics","role":"exclusive"},{"assemblyRole":"none","displayName":"Ground","entityDimensions":["boundary","point"],"fields":{},"kind":"Ground","multiple":true,"parentCategory":"physics","role":"exclusive"},{"assemblyRole":"none","displayName":"Surface Charge Density","entityDimensions":["boundary"],"fields":[{"default":"0[C/m^2]","name":"value","required":true,"unit":"C/m^2","valueType":"expression"}],"kind":"Surface Charge Density","multiple":true,"parentCategory":"physics","role":"contributing"}]
childCategories["physics.domain","physics.boundary"]
defaultMaterialnull
displayNameElectrostatics
domainFeatures[{"assemblyRole":"none","displayName":"Space Charge Density","entityDimensions":["domain"],"fields":[{"default":"0[C/m^3]","name":"value","required":true,"unit":"C/m^3","valueType":"expression"}],"kind":"Space Charge Density","multiple":true,"parentCategory":"physics","required":false}]
kindElectrostatics
materialSchema[{"default":"8.8541878188e-12[F/m]","name":"permittivity","rank":"scalar","required":true,"unit":"F/m"}]
publishedFields[{"components":1,"displayName":"Electric potential","expression":"es.V","name":"es.V","plottable":true,"rank":"scalar","studies":["stationary","transient","sensitivity","optimization"],"unit":"V"},{"components":1,"displayName":"Electrostatic energy functional","expression":"energy","name":"es.energy","plottable":true,"rank":"scalar","studies":["stationary","transient","sensitivity","optimization"],"unit":"J"},{"components":1,"displayName":"Electrostatic compliance","expression":"2*energy","name":"es.compliance","plottable":true,"rank":"scalar","studies":["stationary","sensitivity","optimization"],"unit":"J"}]
statuscertified
studies["Stationary","Transient","Sensitivity","Optimization","Eigenvalue"]
studyCapabilities[{"certified":true,"differentiability":"exact-ad","kind":"stationary","reason":"september-2026-classroom verified contract: exact affine potential field on a tetrahedral block"},{"certified":false,"differentiability":"exact-ad","kind":"transient","reason":"Standalone Electrostatics has no time-evolution operator; its quasistatic adapter is reserved for certified coupled workflows."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Electrostatics sensitivity is disabled until verified per-parameter backend derivative solves are registered."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Electrostatics optimization is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"eigenvalue","reason":"Electrostatics eigenvalue analysis has not completed the September 2026 classroom physical-validation gate."}]
tages
visibletrue

-div(epsilon*grad(V)) = rho

Contract

PropertyValue
areaAC/DC
boundaryFeatures[{"assemblyRole":"essential","displayName":"Electrical Terminal","entityDimensions":["boundary"],"fields":[{"default":"Terminal 1","name":"name","required":true,"valueType":"string"},{"default":"1[V]","name":"value","required":true,"unit":"V","valueType":"expression"},{"default":"","name":"circuitNode","required":false,"valueType":"string"}],"kind":"Terminal","multiple":true,"parentCategory":"physics","role":"exclusive","targetField":"V"},{"assemblyRole":"none","displayName":"Electric Potenti...
childCategories["physics.domain","physics.boundary"]
defaultMaterialnull
displayNameElectrostatics
domainFeatures[{"assemblyRole":"none","displayName":"Space Charge Density","entityDimensions":["domain"],"fields":[{"default":"0[C/m^3]","name":"value","required":true,"unit":"C/m^3","valueType":"expression"}],"kind":"Space Charge Density","multiple":true,"parentCategory":"physics","required":false}]
kindElectrostatics
materialSchema[{"default":"8.8541878188e-12[F/m]","name":"permittivity","rank":"scalar","required":true,"unit":"F/m"}]
publishedFields[{"components":1,"displayName":"Electric potential","expression":"es.V","name":"es.V","plottable":true,"rank":"scalar","studies":["stationary","transient","sensitivity","optimization"],"unit":"V"},{"components":1,"displayName":"Electrostatic energy functional","expression":"energy","name":"es.energy","plottable":true,"rank":"scalar","studies":["stationary","transient","sensitivity","optimization"],"unit":"J"},{"components":1,"displayName":"Electrostatic compliance","expression":"2*energy","na...
statuscertified
studies["Stationary","Transient","Sensitivity","Optimization","Eigenvalue"]
studyCapabilities[{"certified":true,"differentiability":"exact-ad","kind":"stationary","reason":"september-2026-classroom verified contract: exact affine potential field on a tetrahedral block"},{"certified":false,"differentiability":"exact-ad","kind":"transient","reason":"Standalone Electrostatics has no time-evolution operator; its quasistatic adapter is reserved for certified coupled workflows."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Electrostatics sensitivity is ...
tages
visibletrue

Authoritative source

Catalog
telion_backend.v2.python_api.feature_catalog
Identity
feature-category:physics:kind:es:Electrostatics
Path
src/telion_backend/v2/python_api.py
Symbol
feature_catalog