Tet mesh quality: one validity criterion, Delaunay refinement, ODT, Klingner–Shewchuk, tet10

The end-to-end demo met a raw-CDT sliver that the validity gate accepted (exactly positive) and
the solver refused. Now:

- One validity criterion, `fieldcraft_model::admissible_jacobian` (normalized Jacobian above
  1e-12), used by the implicit solver (fem `positive_inverse`), the explicit tet4/hex8
  kinematics and the mesh gate, which proves it on the whole element (tet4: the solvers' own
  Jacobian; curved kinds: a Bernstein floor), so whatever passes the gate passes the solvers.
- CDT rounding repaired by flips on the rounded mesh (Diazzi et al. 2023 §5.1) instead of the
  ±2-ulp nudge.
- `fieldcraft-mesh::tet`: a mutable tetrahedral complex whose every change is a checked
  replacement (positive and admissible tetrahedra, faces matched with opposite orientation) with
  an exact undo log; edge removal (Klincsek), multi-face removal, Delaunay insertion with
  boundary faces, edge collapse; a curvature- and thickness-graded size field; constrained
  Delaunay refinement with encroachment splits; ODT smoothing; the Klingner–Shewchuk schedule;
  boundary vertices moved onto the exact B-rep surfaces at the end; tet10 with mid-edge nodes on
  the geometry.
- `mesh.tet.generate` gains size, order, quality, quality_target, curvature_angle, grading,
  max_passes, max_points and reports the CDT's and the mesh's quality; `solve.probe` takes a set
  and reports its largest von Mises stress.
- Oracle cases filleted-bracket-fillet-stress(-coarse): the fillet's peak von Mises stress on
  tet10 meshes of 2k and 13.5k elements, 213.3 MPa (a four-level study stays within 1.8%); the
  CDT cases keep the raw tetrahedralization.
- Corpus quality columns: all 20 valid parts mesh and pass the gate.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

crates/fem/src/dense.rs

@@ -106,11 +106,13 @@ pub fn inverse3(m: &[[f64; 3]; 3]) -> Option<([[f64; 3]; 3], f64)> {
 }
 
 /// The inverse and determinant of a Jacobian that maps a reference element onto a valid one:
-/// `None` unless det J is positive beyond round-off relative to the product of its row norms.
+/// `None` unless it is admissible by FieldCraft's one validity criterion
+/// ([`fieldcraft_model::admissible_jacobian`], the one the meshers' validity gate proves).
 pub fn positive_inverse(j: &[[f64; 3]; 3]) -> Option<([[f64; 3]; 3], f64)> {
-    let (inv, det) = inverse3(j)?;
-    let norms: f64 = j.iter().map(|r| (r[0] * r[0] + r[1] * r[1] + r[2] * r[2]).sqrt()).product();
-    (det > 1e-12 * norms).then_some((inv, det))
+    if !fieldcraft_model::admissible_jacobian(j) {
+        return None;
+    }
+    inverse3(j)
 }
 
 /// The eigenvalues and unit eigenvectors (the columns of the matrix returned) of a symmetric