ReferenceAlpha
Magnetics
Magnetic vector-potential scalar component interface using the differentiable runtime.
Reference
| Field | Value | Description |
|---|---|---|
| constraints | [] | — |
| coupled_runtime | null | — |
| differentiable_runtime | {"certification":"MagneticsScalarEllipticRuntime","coordinate_expression_gradient":true,"coordinate_gradient":true,"design_properties":["reluctivity"],"execution_backend":"telion-v2-shared-execution","expression_objectives":true,"material_expression_gradient":true,"material_gradient":true,"objective_rules":[{"entity_dimensions":["global","domain","boundary","point"],"modes":["stationary"],"operators":["integral","average","minimum","maximum","rms","norm","smooth-maximum","smooth-minimum"],"supports_selection":true,"symbols":["mg.Az"],"value_kind":"field"},{"entity_dimensions":["global"],"modes":["stationary"],"operators":["value"],"supports_selection":false,"symbols":["mg.energy"],"value_kind":"scalar-global"},{"entity_dimensions":["global"],"modes":["stationary"],"operators":["value"],"supports_selection":false,"symbols":["mg.compliance"],"value_kind":"scalar-global"}],"residual_owner":"Magnetics.element_residual","state_fields":["Az"],"supported_objective_symbols":{"coordinate":["mg.Az","mg.energy","mg.compliance"],"material":["mg.Az","mg.energy","mg.compliance"],"topology":["mg.Az","mg.energy","mg.compliance"]},"topology_expression_gradient":true} | — |
| dynamic_outputs | [] | — |
| equation_summary | -div(nu*grad(Az)) = Jz | — |
| frequency_domain_runtime | null | — |
| metadata | {"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"0a819976ac943e9eedf5bc7f9c80880dd9103cb62bb4c5a915b98c452b135a5c","profile":"september-2026-classroom","reason":"Unavailable.","selectable":false}} | — |
| preferred_material | null | — |
| schema_version | 0.1.0 | — |
| stateVariables | [{"adjointDescription":"Scalar magnetic adjoint solve supports vector-potential objectives and reluctivity topology sensitivities.","adjointSupported":true,"availability":{"topologyMethods":[]},"canonicalSymbol":"mg.Az","complexValued":false,"componentDescriptions":["Magnetic vector potential component"],"componentNames":["Az"],"componentSymbols":["mg.Az"],"components":1,"description":"Out-of-plane magnetic vector-potential component.","differentiability":"exact-ad","displayName":"Magnetic vector potential","finiteElementSpace":"H1-P1","initialValue":"0","location":"node","name":"Az","namingPolicy":"fixed","quantityId":"mg.Az","rank":"scalar","role":"state","runtimeEvidence":{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","provider":"Magnetics.element_residual"},"symbolPattern":null,"unit":"Wb/m"}] | — |
| studies | [{"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."}] | — |
| transient_runtime | null | — |
| weak_contributions | [{"differentiability":"exact-ad","entity_dimension":"domain","expression":"dot(grad(test(mg.Az)), reluctivity*grad(mg.Az)) - test(mg.Az)*currentDensity","name":"mg.vector_potential","test_field":"mg.Az"}] | — |
| category | AC/DC | — |
| description | Magnetic vector-potential scalar component interface using the differentiable runtime. | — |
| dimensions | [3] | — |
| display_name | Magnetics | — |
| kind | Magnetics | — |
| namespace | mg | — |
| status | development | — |
| visible | false | — |
Magnetic vector-potential scalar component interface using the differentiable runtime.
Contract
| Property | Value |
|---|---|
| constraints | [] |
| coupled_runtime | null |
| differentiable_runtime | {"certification":"MagneticsScalarEllipticRuntime","coordinate_expression_gradient":true,"coordinate_gradient":true,"design_properties":["reluctivity"],"execution_backend":"telion-v2-shared-execution","expression_objectives":true,"material_expression_gradient":true,"material_gradient":true,"objective_rules":[{"entity_dimensions":["global","domain","boundary","point"],"modes":["stationary"],"operators":["integral","average","minimum","maximum","rms","norm","smooth-maximum","smooth-minimum"],"su... |
| dynamic_outputs | [] |
| equation_summary | -div(nu*grad(Az)) = Jz |
| frequency_domain_runtime | null |
| metadata | {"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"0a819976ac943e9eedf5bc7f9c80880dd9103cb62bb4c5a915b98c452b135a5c","profile":"september-2026-classroom","reason":"Unavailable.","selectable":false}} |
| preferred_material | null |
| schema_version | 0.1.0 |
| stateVariables | [{"adjointDescription":"Scalar magnetic adjoint solve supports vector-potential objectives and reluctivity topology sensitivities.","adjointSupported":true,"availability":{"topologyMethods":[]},"canonicalSymbol":"mg.Az","complexValued":false,"componentDescriptions":["Magnetic vector potential component"],"componentNames":["Az"],"componentSymbols":["mg.Az"],"components":1,"description":"Out-of-plane magnetic vector-potential component.","differentiability":"exact-ad","displayName":"Magnetic ve... |
| studies | [{"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."}] |
| transient_runtime | null |
| weak_contributions | [{"differentiability":"exact-ad","entity_dimension":"domain","expression":"dot(grad(test(mg.Az)), reluctivity*grad(mg.Az)) - test(mg.Az)*currentDensity","name":"mg.vector_potential","test_field":"mg.Az"}] |
| category | AC/DC |
| description | Magnetic vector-potential scalar component interface using the differentiable runtime. |
| dimensions | [3] |
| display_name | Magnetics |
| kind | Magnetics |
| namespace | mg |
| status | development |
| visible | false |