physics-interfacePreview
Weak Form PDE
Development scalar weak-form PDE interface for scripted custom scalar models.
Reference contract
| Field | Value | Description |
|---|---|---|
| constraints | [] | — |
| coupled_runtime | null | — |
| differentiable_runtime | {"certification":"WeakFormPDEScalarEllipticRuntime","coordinate_expression_gradient":true,"coordinate_gradient":true,"design_properties":["c"],"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":["w.u"],"value_kind":"field"},{"entity_dimensions":["global"],"modes":["stationary"],"operators":["value"],"supports_selection":false,"symbols":["w.energy"],"value_kind":"scalar-global"},{"entity_dimensions":["global"],"modes":["stationary"],"operators":["value"],"supports_selection":false,"symbols":["w.compliance"],"value_kind":"scalar-global"}],"residual_owner":"WeakFormPDE.supported_scalar_weak_forms","state_fields":["u"],"supported_objective_symbols":{"coordinate":["w.u","w.energy","w.compliance"],"material":["w.u","w.energy","w.compliance"],"topology":["w.u","w.energy","w.compliance"]},"topology_expression_gradient":true} | — |
| dynamic_outputs | [] | — |
| equation_summary | Supported scalar weak forms are assembled through the differentiable scalar elliptic runtime. | — |
| frequency_domain_runtime | null | — |
| metadata | {"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"8f1273eda113099a6658438b1513d127c2c4c99c511c5a6fc5b82637cf6bc949","profile":"september-2026-classroom","reason":"Weak Form PDE has no certified study in the September 2026 classroom support matrix.","selectable":false}} | — |
| preferred_material | null | — |
| schema_version | 2.0.0 | — |
| studies | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Weak Form PDE stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Weak Form PDE sensitivity is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Weak Form PDE optimization is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"eigenvalue","reason":"Weak Form PDE eigenvalue is outside the September 2026 classroom support matrix."}] | — |
| transient_runtime | null | — |
| weak_contributions | [{"differentiability":"exact-ad","entity_dimension":"domain","expression":"weak","name":"w.domain","test_field":"w.u"}] | — |
| category | Mathematics / PDE Interfaces | — |
| description | Development scalar weak-form PDE interface for scripted custom scalar models. | — |
| dimensions | [3] | — |
| display_name | Weak Form PDE | — |
| kind | Weak Form PDE | — |
| namespace | w | — |
| status | development | — |
| visible | false | — |
Development scalar weak-form PDE interface for scripted custom scalar models.
Contract
| Property | Value |
|---|---|
| constraints | [] |
| coupled_runtime | null |
| differentiable_runtime | {"certification":"WeakFormPDEScalarEllipticRuntime","coordinate_expression_gradient":true,"coordinate_gradient":true,"design_properties":["c"],"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_s... |
| dynamic_outputs | [] |
| equation_summary | Supported scalar weak forms are assembled through the differentiable scalar elliptic runtime. |
| frequency_domain_runtime | null |
| metadata | {"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"8f1273eda113099a6658438b1513d127c2c4c99c511c5a6fc5b82637cf6bc949","profile":"september-2026-classroom","reason":"Weak Form PDE has no certified study in the September 2026 classroom support matrix.","selectable":false}} |
| preferred_material | null |
| schema_version | 2.0.0 |
| studies | [{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"Weak Form PDE stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Weak Form PDE sensitivity is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Weak Form PDE optimization is outside the September 2026 classroom support matrix."},{... |
| transient_runtime | null |
| weak_contributions | [{"differentiability":"exact-ad","entity_dimension":"domain","expression":"weak","name":"w.domain","test_field":"w.u"}] |
| category | Mathematics / PDE Interfaces |
| description | Development scalar weak-form PDE interface for scripted custom scalar models. |
| dimensions | [3] |
| display_name | Weak Form PDE |
| kind | Weak Form PDE |
| namespace | w |
| status | development |
| visible | false |