geometrical objects.
An algorithm represents either an implementation of a certain meshing
-technique or a interface to a whole meshing program generating elements
+technique or an interface to the whole meshing program generating elements
of several dimensions.
<ul>
<li>For meshing of 1D entities (<b>edges</b>):</li>
\anchor a1d_algos_anchor
<ul>
-<li><em>Wire Discretization</em> meshing algorithm - splits an edge into a
+<li><b>Wire Discretization</b> meshing algorithm - splits an edge into a
number of mesh segments following an 1D hypothesis.
</li>
-<li><em>Composite Side Discretization</em> algorithm - allows to apply an 1D
+<li><b>Composite Side Discretization</b> algorithm - allows to apply a 1D
hypothesis to a whole side of a geometrical face even if it is
- composed of several edges provided that they form C1 curve and form
- one side in all faces of the main shape.</li>
+ composed of several edges provided that they form C1 curve in all
+ faces of the main shape.</li>
</ul>
<li>For meshing of 2D entities (<b>faces</b>):</li>
<ul>
-<li><em>Triangle (Mefisto)</em> meshing algorithm - splits faces
+<li><b>Triangle (Mefisto)</b> meshing algorithm - splits faces
into triangular elements.</li>
<li>\subpage quad_ijk_algo_page "Quadrangle (Mapping)" meshing
algorithm - splits faces into quadrangular elements.</li>
<li>For meshing of 3D entities (<b>solid objects</b>):</li>
<ul>
-<li><em>Hexahedron (i,j,k)</em>meshing algorithm - 6-sided solids are
- split into hexahedral (cuboid) elements.</li>
+<li><b>Hexahedron (i,j,k)</b> meshing algorithm - solids are
+ split into hexahedral elements thus forming a structured 3D
+ mesh. The algorithm requires that 2D mesh generated on a solid could
+ be considered as a mesh of a box, i.e. there should be eight nodes
+ shared by three quadrangles and the rest nodes should be shared by
+ four quadrangles.
+\image html hexa_ijk_mesh.png "Structured mesh generated by Hexahedron (i,j,k) on a solid bound by 16 faces"
+</li>
+
<li>\subpage cartesian_algo_page "Body Fitting" meshing
algorithm - solids are split into hexahedral elements forming
a Cartesian grid; polyhedra and other types of elements are generated
\image html image126.gif "Example of a hexahedral 3D mesh"
</ul>
-Some 3D meshing algorithms, such as Hexahedron(i,j,k) and some
-commercial ones, also can generate 3D meshes from 2D meshes, working
-without geometrical objects.
+Some 3D meshing algorithms, such as Hexahedron(i,j,k) also can
+generate 3D meshes from 2D meshes, working without geometrical
+objects.
There is also a number of more specific algorithms:
<ul>
-<li>\subpage prism_3d_algo_page "for meshing prismatic shapes"</li>
+<li>\subpage prism_3d_algo_page "for meshing prismatic 3D shapes with hexahedra and prisms"</li>
+<li>\subpage quad_from_ma_algo_page "for quadrangle meshing of faces with sinuous borders and rings"</li>
+<li> <b>Polygon per Face</b> meshing algorithm - generates one mesh
+ face (either a triangle, a quadrangle or a polygon) per a geometrical
+ face using all nodes from the face boundary.</li>
<li>\subpage projection_algos_page "for meshing by projection of another mesh"</li>
<li>\subpage import_algos_page "for meshing by importing elements from another mesh"</li>
-<li>\subpage radial_prism_algo_page "for meshing geometrical objects with cavities"</li>
-<li>\subpage radial_quadrangle_1D2D_algo_page "for meshing special 2d faces (circles and part of circles)"</li>
+<li>\subpage radial_prism_algo_page "for meshing 3D geometrical objects with cavities with hexahedra and prisms"</li>
+<li>\subpage radial_quadrangle_1D2D_algo_page "for quadrangle meshing of disks and parts of disks"</li>
<li>\subpage use_existing_page "Use Edges to be Created Manually" and
-\ref use_existing_page "Use Faces to be Created Manually" algorithms can be
-used to create a 1D or a 2D mesh in a python script.</li>
-<li>\subpage segments_around_vertex_algo_page "for defining the local size of elements around a certain node"</li>
+ \ref use_existing_page "Use Faces to be Created Manually" algorithms can be
+ used to create a 1D or a 2D mesh in a python script.</li>
+<li>\subpage segments_around_vertex_algo_page "for defining the length of mesh segments around certain vertices"</li>
</ul>
\ref constructing_meshes_page "Constructing meshes" page describes in
