# Compatibility matrix

Methods shown in a cell are the methods accepted for that family/analysis intersection. The gallery case count covers only the standard Gmsh importer path.

| Element family / entity | linear_static | modal | transient_dynamic | harmonic_response | nonlinear_static | geometric_nonlinear_static | frictional_static |
| --- | --- | --- | --- | --- | --- | --- | --- |
| TET4 | 7 method(s); stable; Gmsh case | 4 method(s); stable_after_reinforced_tests; Gmsh case | 2 method(s); stable_after_reinforced_tests; Gmsh case | 2 method(s); stable_after_reinforced_tests; Gmsh case | 4 method(s); experimental; Gmsh case | 1 method(s); research; Gmsh case | — |
| TET10 | 7 method(s); stable_after_reinforced_tests; Gmsh case | 4 method(s); stable_after_reinforced_tests; Gmsh case | 2 method(s); stable_after_reinforced_tests; Gmsh case | 2 method(s); stable_after_reinforced_tests; Gmsh case | 4 method(s); experimental; Gmsh case | Unavailable — The source solver explicitly restricts geometric_nonlinear_static to TET4. | — |
| MITC3 | 7 method(s); experimental; Gmsh case | 4 method(s); experimental; Gmsh case | 2 method(s); experimental; Gmsh case | 2 method(s); experimental; Gmsh case | Unavailable — The source solver's material nonlinear route is implemented for TET4/TET10 solids only. | Unavailable — The source solver explicitly restricts geometric_nonlinear_static to TET4. | — |
| MITC4 | 7 method(s); stable; Gmsh case | 4 method(s); stable_after_reinforced_tests; Gmsh case | 2 method(s); stable_after_reinforced_tests; Gmsh case | 2 method(s); stable_after_reinforced_tests; Gmsh case | Unavailable — The source solver's material nonlinear route is implemented for TET4/TET10 solids only. | Unavailable — The source solver explicitly restricts geometric_nonlinear_static to TET4. | — |
| BEAM2 | Unavailable — BEAM2 is a two-node line element, but SUPPORTED_FAMILIES in the Gmsh importer excludes it. No substitute element was generated. | Unavailable — BEAM2 is a two-node line element, but SUPPORTED_FAMILIES in the Gmsh importer excludes it. No substitute element was generated. | Unavailable — BEAM2 is a two-node line element, but SUPPORTED_FAMILIES in the Gmsh importer excludes it. No substitute element was generated. | Unavailable — BEAM2 is a two-node line element, but SUPPORTED_FAMILIES in the Gmsh importer excludes it. No substitute element was generated. | Unavailable — The source solver's material nonlinear route is implemented for TET4/TET10 solids only. | Unavailable — The source solver explicitly restricts geometric_nonlinear_static to TET4. | — |
| SPRING_MASS | Unavailable — Discrete/contact entities are not structural elements in ElementRegistry and are not mapped by the Gmsh physical-group importer. | Unavailable — Discrete/contact entities are not structural elements in ElementRegistry and are not mapped by the Gmsh physical-group importer. | Unavailable — Discrete/contact entities are not structural elements in ElementRegistry and are not mapped by the Gmsh physical-group importer. | Unavailable — Discrete/contact entities are not structural elements in ElementRegistry and are not mapped by the Gmsh physical-group importer. | Unavailable — The source solver's material nonlinear route is implemented for TET4/TET10 solids only. | Unavailable — The source solver explicitly restricts geometric_nonlinear_static to TET4. | — |
| CONTACT | Unavailable — Discrete/contact entities are not structural elements in ElementRegistry and are not mapped by the Gmsh physical-group importer. | — | — | — | Unavailable — The source solver's material nonlinear route is implemented for TET4/TET10 solids only. | Unavailable — The source solver explicitly restricts geometric_nonlinear_static to TET4. | Unavailable — The frictional contact campaign is separate from the six standard analyses; the standard Gmsh importer does not map contact pairs or friction parameters. |

## Numerical methods

| Analysis type | Methods listed by the local source snapshot |
| --- | --- |
| `linear_static` | `direct, spsolve, cg, conjugate_gradient, gmres, bicgstab, minres` |
| `modal` | `eigh, eigsh, lanczos, lobpcg` |
| `nonlinear_static` | `newton_raphson, modified_newton, newton_line_search, arc_length` |
| `geometric_nonlinear_static` | `newton_raphson` |
| `transient_dynamic` | `newmark, newmark_average_acceleration` |
| `harmonic_response` | `direct_frequency, harmonic_direct` |

## Gmsh/import boundary

The runtime importer accepts `MITC3, MITC4, TET10, TET4`. MITC3 is accepted by the source code even though the accompanying import guide lists only TET4/TET10/MITC4.
BEAM2 is a registered solver element but is excluded from the Gmsh importer's supported-family set. SPRING_MASS and CONTACT are discrete entities, not `ElementRegistry` families; their physical entities are not mapped by the standard Gmsh importer. No family was substituted.
The large-model backend is a separate experimental TET4 linear-static route; it is not part of the standard Gmsh gallery.

## Runtime maturity

Maturity values are copied from the imported model's runtime qualification registry. `research` and `experimental` are not validation claims. The current generated documentation uses a newer qualification vocabulary than the local 0.2.0a0 source archive; the run-time result value is retained per case and the discrepancy is called out in the README.

Additional pair-by-pair reasons and status flags are in `coverage_matrix.csv`.