+++ /dev/null
-.. _quad_ijk_algo_page:
-
-*************************************
-Quadrangle: Mapping meshing algorithm
-*************************************
-
-**Quadrangle: Mapping** meshing algorithm is intended for creating
-all-quadrangle and quad-dominant meshes on faces without holes and
-bound by at least three edges.
-
-The algorithm can create mesh on any face but its quality and
-validity depend on two factors:
-
-* face shape (number of edges and boundary concavity);
-* discretization of edges.
-
-.. image:: ../images/quad_mesh_invalid.png
- :align: center
-
-.. centered::
- "Invalid mesh on quadrilateral concave faces"
-
-The algorithm uses *Transfinite Interpolation* technique in the
-parametric space of a face to locate nodes inside the face.
-
-The algorithm treats any face as quadrangle. If a face is bound by
-more than four edges, four most sharp vertices are considered as
-corners of the quadrangle and all edges between these vertices are
-treated as quadrangle sides. In the case of three edges, the vertex
-specified by the user is considered as a fourth degenerated side of the
-quadrangle.
-
-.. image:: ../images/quad_meshes.png
- :align: center
-
-.. centered::
- Algorithm generates a structured mesh on complex faces provided that edges are properly discretized
-
-To get an all-quadrangle mesh you have to carefully define 1D
-hypotheses on edges of a face. To get a **structured** mesh you have to provide
-equal number of segments on opposite sides of the quadrangle. If this
-condition is not respected, the algorithm by default (without a
-hypothesis) creates a **quad-dominant** mesh with triangles located near the
-side with the maximal number of segments. However, you can get an
-**all-quadrangle** mesh in this case by using
-:ref:`hypo_quad_params_anchor` hypothesis to specify how to make transition mesh between opposite
-sides with different number of segments, provided that certain
-conditions are respected. In any case the total number of segments must be
-even. To use *Reduced* transition method, there must be an equal number
-of segments on one pair of opposite sides.
-
-The following hypotheses help to create quadrangle meshes.
-
-* :ref:`Propagation <propagation_anchor>` additional 1D hypotheses help to get an equal number of segments on the opposite sides of a quadrilateral face.
-* :ref:`Composite Side Discretization <a1d_algos_anchor>` algorithm is useful to discretize several C1 continuous edges as one quadrangle side.
