sfepy.discrete.fem.refine module¶
Basic uniform mesh refinement functions.

sfepy.discrete.fem.refine.
refine_2_3
(mesh_in)[source]¶ Refines mesh out of triangles by cutting cutting each edge in half and making 4 new finer triangles out of one coarser one.

sfepy.discrete.fem.refine.
refine_2_4
(mesh_in)[source]¶ Refines mesh out of quadrilaterals by cutting cutting each edge in half and making 4 new finer quadrilaterals out of one coarser one.

sfepy.discrete.fem.refine.
refine_3_4
(mesh_in)[source]¶ Refines tetrahedra by cutting each edge in half and making 8 new finer tetrahedra out of one coarser one. Old nodal coordinates come first in coors, then the new ones. The new tetrahedra are similar to the old one, no degeneration is supposed to occur as at most 3 congruence classes of tetrahedra appear, even when reapplied iteratively (provided that conns are not modified between two applications  ordering of vertices in tetrahedra matters not only for positivity of volumes).
References:
 Juergen Bey: Simplicial grid refinement: on Freudenthal s algorithm and the optimal number of congruence classes, Numer.Math. 85 (2000), no. 1, 1–29, or
 Juergen Bey: Tetrahedral grid refinement, Computing 55 (1995), no. 4, 355–378, or http://citeseer.ist.psu.edu/bey95tetrahedral.html