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tulpaMesh 0.1.0

Initial CRAN release.

Mesh Generation

  • tulpa_mesh(): constrained Delaunay triangulation with formula interface, sf boundary support (POLYGON, MULTIPOLYGON, holes), hexagonal lattice refinement, Ruppert refinement (min_angle, max_area), and vertex deduplication.
  • tulpa_mesh_sphere(): icosahedral geodesic meshes with 3D surface FEM.
  • tulpa_mesh_1d(): temporal meshes with tridiagonal FEM matrices.
  • tulpa_mesh_graph(): metric graph meshes for network SPDE models.

FEM Assembly

  • fem_matrices(): P1 linear FEM producing mass (C), stiffness (G), and projection (A) sparse matrices. Supports lumped mass, barrier models, and parallel assembly via RcppParallel.
  • fem_matrices_p2(): P2 quadratic FEM with 6-node triangular elements.
  • fem_matrices_nonstationary(): spatially varying kappa/tau weighting.

Mesh Operations