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  2. Contract
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General Form PDE

Development scalar general-form PDE interface for scripted custom stationary models.

Reference contract

FieldValueDescription
constraints[]
coupled_runtimenull
differentiable_runtime{"certification":"GeneralFormPDEScalarEllipticRuntime","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":["g.u"],"value_kind":"field"},{"entity_dimensions":["global"],"modes":["stationary"],"operators":["value"],"supports_selection":false,"symbols":["g.energy"],"value_kind":"scalar-global"},{"entity_dimensions":["global"],"modes":["stationary"],"operators":["value"],"supports_selection":false,"symbols":["g.compliance"],"value_kind":"scalar-global"}],"residual_owner":"GeneralFormPDE.supported_scalar_general_forms","state_fields":["u"],"supported_objective_symbols":{"coordinate":["g.u","g.energy","g.compliance"],"material":["g.u","g.energy","g.compliance"],"topology":["g.u","g.energy","g.compliance"]},"topology_expression_gradient":true}
dynamic_outputs[]
equation_summaryStationary scalar subset of div(Gamma)=F.
frequency_domain_runtimenull
metadata{"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"8f1273eda113099a6658438b1513d127c2c4c99c511c5a6fc5b82637cf6bc949","profile":"september-2026-classroom","reason":"General Form PDE has no certified study in the September 2026 classroom support matrix.","selectable":false}}
preferred_materialnull
schema_version2.0.0
studies[{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"General Form PDE stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"General Form PDE sensitivity is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"General Form PDE optimization is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"eigenvalue","reason":"General Form PDE eigenvalue is outside the September 2026 classroom support matrix."}]
transient_runtimenull
weak_contributions[{"differentiability":"exact-ad","entity_dimension":"domain","expression":"dot(grad(test(g.u)), -Gamma) - test(g.u)*F","name":"g.general","test_field":"g.u"}]
categoryMathematics / PDE Interfaces
descriptionDevelopment scalar general-form PDE interface for scripted custom stationary models.
dimensions[3]
display_nameGeneral Form PDE
kindGeneral Form PDE
namespaceg
statusdevelopment
visiblefalse

Development scalar general-form PDE interface for scripted custom stationary models.

Contract

PropertyValue
constraints[]
coupled_runtimenull
differentiable_runtime{"certification":"GeneralFormPDEScalarEllipticRuntime","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"],"support...
dynamic_outputs[]
equation_summaryStationary scalar subset of div(Gamma)=F.
frequency_domain_runtimenull
metadata{"releaseSupport":{"certifiedStudies":[],"manifest":"docs/september-2026-classroom-physics-matrix.json","manifestSha256":"8f1273eda113099a6658438b1513d127c2c4c99c511c5a6fc5b82637cf6bc949","profile":"september-2026-classroom","reason":"General Form PDE has no certified study in the September 2026 classroom support matrix.","selectable":false}}
preferred_materialnull
schema_version2.0.0
studies[{"certified":false,"differentiability":"exact-ad","kind":"stationary","reason":"General Form PDE stationary is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"General Form PDE sensitivity is outside the September 2026 classroom support matrix."},{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"General Form PDE optimization is outside the September 2026 classroom support ma...
transient_runtimenull
weak_contributions[{"differentiability":"exact-ad","entity_dimension":"domain","expression":"dot(grad(test(g.u)), -Gamma) - test(g.u)*F","name":"g.general","test_field":"g.u"}]
categoryMathematics / PDE Interfaces
descriptionDevelopment scalar general-form PDE interface for scripted custom stationary models.
dimensions[3]
display_nameGeneral Form PDE
kindGeneral Form PDE
namespaceg
statusdevelopment
visiblefalse

Authoritative source

Catalog
telion_backend.v2.catalog.PhysicsCatalog
Identity
physics-interface:g
Path
src/telion_backend/v2/physics
Symbol
PhysicsDeclaration