traceprojector 0.1.0

[0.1.0] — 2026-09-03

The first release under the traceprojector name on Node 26. Adds
the new web/ playground, drops Babel, and finishes the file-layout
rebrand.

Added

• New web/ workspace. A Next.js 16 + shadcn/ui playground that
  consumes the lib via npm workspaces, with a 3D tetrahedral-mesh
  viewer (three.js / @react-three/fiber), an API playground with
  copy-to-clipboard code export, and a live convergence plot
  (Recharts). Start it with npm run web:dev; build it with
  npm run web:build. A new web job in .github/workflows/ci.yml
  builds the playground on every push.
• New "Try it online" entry in the root README.md that points
  at the bundled web playground, alongside a convexfolio-style
  What is this? / Who is this for? / What can it do? / Before you
  start / Installation / Your first run / Configuration / Where to
  go next skeleton. The original technical depth (API, math,
  architecture, performance, tech stack) is kept as a second half.
• Projector.verifyBoundaryWeights (Section 6.3 cross-check): the
  exact boundary DoFs stay u(v), ∫_e u·t, ∫_f u·n for any
  input, and each wired §6.3 weight functional is applied to its
  boundary simplex's canonical discrete trace basis field (P¹ hat
  λ_v, Whitney 1-form W_e, face RT_0) to confirm it recovers
  the normalized DoF — see traceprojector/boundaryVerify.js and
  tests/weight.test.js.
• Weight vertex-weight assembly fix after an Alfeld/Worsey-Farin
  split: the mesh appends barycenter vertices, so bweight.vertexWeight
  now receives a compact, remapped local vertex set for each boundary
  star. The previous full-vertex pass produced a singular stiffness
  matrix after the split and silently skipped every vertex weight.
• Edge boundary weight ζ_{0,e}^1 (Section 6.3.2) on the
  lowest-order surface N_0 (Whitney 1-form) space: build the
  star's edge indexing, assemble the Whitney mass matrix, solve for
  η_e^1 = M^{-1}d from the intrinsic edge moments
  d_k = ∫_e W_k·t_e, and expose the duality functional
  (ζ, u) = (η_e^1, u) reproducing the edge degree of freedom for
  H(curl) traces in N_0 (eq. 6.31).
• Face boundary weight ζ_{0,f}^2 (Section 6.3.3) on the
  lowest-order surface RT_0 (Raviart-Thomas) space: assemble the
  RT_0 mass matrix over the extended star, solve for
  η_f^2 = M^{-1}d from the featured-face normal moments
  d_k = ∫_f RT_k·n, and expose the duality functional
  (ζ, u) = (η_f^2, u) reproducing the face degree of freedom for
  H(div) traces in RT_0 (eq. 6.36).
• Section 2.3 surface differential operators (grad_Γ, curl_Γ,
  div_Γ, rot_Γ) and the Section 6.3 barycenter tent μ on
  Alfeld-split faces, in the new traceprojector/surface.js module.
• Section 6.3 boundary-weight cascade wired into Weight.compute():
  vertexBoundaryWeights, edgeBoundaryWeights, and
  faceBoundaryWeights (built from bweight.vertexWeight /
  edgeWeight / faceWeight over each boundary vertex's star,
  edge's star, and face's extended star), stored on Projector via
  computeBoundaryWeights.
• README sections: Tech stack, Security, Code of Conduct,
  centered header with aligned badges, and license copyright.
• engines.node: ">=26.0.0" in package.json and a
  workspaces: ["web"] field. New convenience scripts web:dev,
  web:build, and web:start proxy into the workspace.
• .gitignore entries for the web workspace: .next/, out/,
  next-env.d.ts, .turbo/.

Changed

• README is rewritten in the convexfolio skeleton (with the
  technical depth kept as a second half) and the GitHub URL is
  updated to sachncs/traceprojector in every badge.
• CONTRIBUTING and SECURITY are updated to use the public class
  name Projector and the package name traceprojector (no more
  TraceProjector or Bcdtpp).
• Docs (docs/architecture.md, docs/development.md,
  docs/exceptions.md, docs/math.md, docs/setup.md,
  docs/testing.md) are updated to reflect the new source path, the
  new error class names, the new requirement of Node 26, the new
  test files, and the new web/ workflow.
• docs/api.md is regenerated via npm run docs to include
  the bweight and surface exports and the Section 6.3
  boundary-weight cascade.
• Bump dev-dependency group to current latest:
  • @rollup/plugin-node-resolve ^16.0.1 → ^16.0.3
  • jsdoc-to-markdown ^9.1.1 → ^9.1.3
  • mocha ^11.8.0 → ^12.0.0
  • The rest of the dev deps (@rollup/plugin-commonjs,
    @rollup/plugin-terser, rollup, c8, chai, sinon,