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---
name: fem-numerical-review
description: Use when independently reviewing a structural FEM formulation, stability risks, and verification-case readiness before interface definition or implementation.
---
# FEM Numerical Review
Issue an independent, findings-first verdict on whether the mathematical contract and logical verification coverage are ready downstream.
## Inputs
- Requirements, research, and formulation for one `feature_id`
- Existing reference cases and artifacts, read-only
- `docs/TOLERANCE.md` and approved compatibility policies
## Workflow
1. Check dimensions, signs, DOF order, transformations, kinematics, constitutive update, mapping, quadrature, residual, loads, tangent consistency, symmetry, null spaces, conditioning, and family-specific stability risks.
2. Check each requirement has a falsifiable unit, element, integration, benchmark, convergence, or reference-comparison case.
3. Inventory only approved reference cases. Under `docs/TOLERANCE.md`, autonomously select and justify quantity, identity/component, metric, scale and near-zero treatment, blocking/diagnostic class, and numerical tolerance from analytical, convergence, or reference evidence. Define locations, units, coordinates, and entity prechecks without selecting a physical file schema.
4. Lead with defects and severity. Return missing derivations to formulation and missing evidence to research; do not repair upstream artifacts in place.
Read the applicable [analysis-family guidance](../fem-formulation-spec/references/analysis-families.md). Use [workflow and decision authority](../fem-requirements-baseline/references/workflow-and-decisions.md) for escalation and [evidence and handoff](../fem-requirements-baseline/references/evidence-and-handoff.md) for the verdict.
## Output
Follow [Feature document management](../../../docs/FEATURE_DOCUMENTATION.md): read the Coordinator's
feature context, keep main reports concise, and link necessary owned details in the same feature folder.
Create or revise:
- `docs/<feature-id>/numerical-review.md`: verdict, findings, risks, consistency checks, verification readiness, required revisions, and handoff.
- `docs/<feature-id>/reference-model.md`: logical acceptance scope, case inventory, identity/component contract, metric, scale, blocking class, tolerance value/source, prechecks, contract revision, limitations, and I/O handoff.
## Evidence
Tie every finding and tolerance choice to an equation, requirement, source, case, convergence result, or reproducible calculation. Record the feature contract revision and preserve prior failing evidence when a tolerance changes. Separate confirmed defects, risks, recommendations, and unresolved decisions. A pass means ready for I/O definition, not feature completion.
## Boundary
Do not edit the formulation, implement code, choose APIs or dataset paths, modify or generate reference artifacts, relax a tolerance merely to pass an implementation result, decide final comparison success, or approve release. A missing noncritical naming convention is not a numerical blocker.
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interface:
display_name: "FEM Numerical Review"
short_description: "Review structural FEM numerical readiness"
default_prompt: "Use $fem-numerical-review to independently review a structural FEM formulation and its verification readiness."