Implicit solver: fem kernels (tet4/10, hex8, hex20), sparse Cholesky, block Lanczos, solve.* commands (M4) (#23)

* Renumber the layer table for solver crates: fem at L1, solver at L2, fsi at L3

L0 model -> L1 geometry, mesh, fem, decks, render -> L2 solver (explicit, lbm later)
-> L3 fsi (later) -> L4 doc -> L5 io -> L6 engine -> L7 ui-egui, mcp -> apps.
UI_MIN_LAYER moves to 7, the testkit sits above it.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* modelcraft-fem: element kernels for tet4, tet10, hex8 (full, incompatible modes), hex20 (full, reduced)

Shape functions, Gauss and conical-product quadrature, stiffness, consistent and HRZ-lumped
mass, body forces, consistent pressure loads on faces, integration-point stresses and their
least-squares extrapolation to nodes, isotropic and orthotropic elasticity. The element table is
one row per kind, so wedges, shells and beams are added locally.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* modelcraft-solver: linear static and frequency analysis with an analytic verification suite

Assembly from the resolved model on the node graph, boundary conditions by elimination,
consistent pressure, gravity and body-force loads, nested-dissection ordering, sparse up-looking
Cholesky with a factor-size cap, reactions, integration-point and nodal-averaged stresses, von
Mises; shift-invert block Lanczos with full reorthogonalization for natural modes, participation
and effective mass. ADR 0001 records the own-linear-algebra decision (determinism, wasm).

Verified against closed forms: displacement and traction patch tests for every element, cantilever
tip deflection (Timoshenko) with convergence rates, Lamé cylinder, Kirsch hole (Kt -> 3),
cantilever and free-free beam frequencies with six rigid-body modes.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* Engine: solve.static, solve.frequency and solve.probe; results kept in the session

Results are stored per step, restored on a failed command and cleared when the model changes.
Caps (degrees of freedom, factor entries, Lanczos vectors) may only be lowered; hostile parameters
are tested against a solvable session.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* docs: implicit solver architecture, roadmap M4, parity and references

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* Simplify the solver: shared face integration, block assembly, cached extrapolation

- model: one face integrator (nodal::face_normal_weights) for tractions and pressures
- fem: mid-side tables from ElementKind::edges, orthotropic via inverse3, symmetric
  accumulation without a symmetrize pass, incompatible-mode recovery without K_uu, model's
  coordinate check, dead table rows removed
- solver: one pattern search per node pair (block, scalar and diagonal adds), extrapolation built
  once per element type, reactions from the prescribed rows only, matrices dropped after
  restriction, the free-body shift keyed on the factorization error, step selection in the solver,
  Error::Element naming the element
- engine: the solver owns the default step and the shift check; the model comparison runs once

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

* docs: results are stamped with the session revision

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm

---------

Co-authored-by: jyviko <[email protected]>
Co-authored-by: Claude Opus 5.5 <[email protected]>
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@@ -21,18 +21,20 @@ crates in strictly lower layers.
| L0 | `modelcraft-model` | Solver-neutral FE model: nodes and elements by label, their geometry tags, sets, materials, sections, couplings, BCs, loads and steps, the model check and the resolved view the writers read. Knows no file format and no geometry type. | started |
| L1 | `modelcraft-geometry` | The only door to SolidCraft: opens `.solidcraft` designs (rebuilt from their timeline, bodies with persistent face names), B-rep bodies, measures, tessellation into a face-tagged `SurfaceMesh`; face-tagged 3MF files read into the same type without the kernel (docs/formats/tagged-mesh.md). No SolidCraft type in its API. | started |
| L1 | `modelcraft-mesh` | Surface preparation (weld, watertightness, feature edges), robust predicates, Delaunay tetrahedralization and refinement, Voronoi-based optimization, hex meshing, quality metrics. | started |
| L1 | `modelcraft-solver` | Element formulations, assembly, sparse linear static and modal solution. | planned |
| L1 | `modelcraft-fem` | Element kernels shared by every structural solver: the element table (tet4, tet10, hex8 full and incompatible modes, hex20 full and reduced), shape functions, quadrature, element stiffness, consistent and lumped mass, body and pressure loads, stresses and their extrapolation, isotropic and orthotropic elasticity. Pure functions, no solver loop. | started |
| L1 | `modelcraft-decks` | Abaqus input, Nastran bulk data and LS-DYNA keyword readers and writers, to and from `model`. Text out, no file system; `deck.write` saves it. | started |
| L1 | `modelcraft-render` | Display data without a GPU dependency: the visible faces, element edges and nodes of a model, the orbit camera, a CPU rasterizer for headless snapshots; contour maps later. | started |
| L2 | `modelcraft-doc` | The document: geometry, mesh, model, results, history. | planned |
| L3 | `modelcraft-io` | `.modelcraft` files (docs/formats/modelcraft.md): text model definition, binary mesh, geometry references with content hashes, the journal; atomic saves; autosave storage for crash recovery. Bytes in, bytes out; the file system only in `fs` and `recovery`. Result files later. | started |
| L4 | `modelcraft-engine` | Commands (`CommandSpec`), `Session::execute` with rollback and the panic guard, scripts. | started |
| L5 | `modelcraft-ui-egui`, `modelcraft-mcp` | Desktop UI (egui + wgpu viewport, model tree, commands, status bar) and control channel requests (docs/control-protocol.md); MCP server. | ui started |
| L2 | `modelcraft-solver` | Implicit solver: assembly from the resolved model, boundary conditions, sparse direct solution, linear static and modal analysis, stresses and reactions. The explicit (`modelcraft-explicit`) and lattice Boltzmann (`modelcraft-lbm`) solvers join this layer. | started |
| L3 | `modelcraft-fsi` | Fluid–structure coupling between the L2 solvers (later). | planned |
| L4 | `modelcraft-doc` | The document: geometry, mesh, model, results, history. | planned |
| L5 | `modelcraft-io` | `.modelcraft` files (docs/formats/modelcraft.md): text model definition, binary mesh, geometry references with content hashes, the journal; atomic saves; autosave storage for crash recovery. Bytes in, bytes out; the file system only in `fs` and `recovery`. Result files later. | started |
| L6 | `modelcraft-engine` | Commands (`CommandSpec`), `Session::execute` with rollback and the panic guard, scripts. | started |
| L7 | `modelcraft-ui-egui`, `modelcraft-mcp` | Desktop UI (egui + wgpu viewport, model tree, commands, status bar) and control channel requests (docs/control-protocol.md); MCP server. | ui started |
| testkit | `modelcraft-testkit` | Test tooling, a dev-dependency only: the meshing test corpus (`tests/corpus/*/recipe.json`, analytic shapes) and its runner (`cargo xtask corpus`). | started |
| apps | `modelcraft`, `modelcraft-cli`, `modelcraft-web` | Desktop, command line, browser. | desktop, cli started |
Rules beyond the layer order:
- Nothing below L5 uses egui, eframe, winit, wgpu or rfd.
- Nothing below L7 uses egui, eframe, winit, wgpu or rfd.
- Only `modelcraft-geometry` uses `solidcraft-*`, pinned by rev in the workspace `Cargo.toml`.
SolidCraft's `[patch.crates-io]` (its fixed truck crates) does not reach dependents, so the
workspace repeats it from the same rev; bump both together. The same goes for SolidCraft's
@@ -120,6 +122,39 @@ element names, cards and keywords):
- **Files.** A model deserializes by replaying its contents through the same checked methods the
commands use, so a file cannot hold what commands would refuse.
## Implicit solver
`modelcraft-solver` solves a model's linear static and frequency steps (`solve.static`,
`solve.frequency`; `solve.probe` reads the stored results). Methods and papers are cited in the
module docs; ADR 0001 records why the linear algebra is our own.
1. **System.** `Model::resolve()`; each solid section's elements take their material's
elasticity matrix and the section's formulation (`modelcraft_fem::element::ELEMENT_TYPES`, one
row per element kind). Couplings, reference points, moments, shells and beams return "not
supported yet". The step's boundary conditions prescribe translations (rotations do not exist
on solid nodes); its loads become a load vector: forces and tractions from
`Resolved::nodal_loads`, pressure as consistent face loads, gravity and body forces through the
element shape functions.
2. **Assembly** on the node graph (3 × 3 blocks, elements in label order, so sums are
reproducible bit for bit).
3. **Ordering and elimination.** Nested dissection of the nodes by coordinate bisection; free
degrees of freedom numbered in that order; prescribed values moved to the right-hand side (no
penalty).
4. **Static solution.** Up-looking sparse Cholesky (the factor size is computed and capped before
any value), reactions K u − f, integration-point stresses extrapolated to the nodes and
averaged, von Mises. A zero pivot names the node and direction that can move freely.
5. **Frequency.** Shift-invert block Lanczos (block 6, full reorthogonalization) on
K − σM, σ = 0 for a supported structure and slightly negative for a free one, so rigid-body
modes come out at zero; mass-normalized shapes, participation factors and effective masses.
6. **Results** stay in the session per step, stamped with the session revision they were solved
at; `Session::result` hands out only those of the current revision, so an edit makes them
stale and undoing back to the solved state makes them current again.
Verification (`crates/solver/tests/verification.rs`, analytic only): displacement and traction
patch tests for every element and formulation (exact to round-off), cantilever tip deflection
against Timoshenko with convergence rates of the linear elements, Lamé's cylinder, Kirsch's
plate with a hole (Kt → 3), cantilever and free–free beam frequencies with six rigid-body modes.
## Commands
Every user-visible action is a `CommandSpec` in `crates/engine/src/cmd/<area>.rs` with a JSON