Function File: [mesh] = msh3m_structured_mesh(x,y,z,region,sides)

Construct a structured tetrahedral 3D mesh on a parallelepipedal domain.

• x, y and z are the one dimensional mesh vector of the corresponding Cartesian axis.
• region is a number identifying the geometrical volume, while sides is a 6 components vector containing the numbers used to identify the geometrical face edges.

The returned value mesh is a PDE-tool like mesh structure composed of the following fields:

• p: matrix with size 3 times number of mesh points.
  • 1st row: x-coordinates of the points.
  • 2nd row: y-coordinates of the points.
  • 3rd row: z-coordinates of the points.
• e: matrix with size 10 times number of mesh face edges.
  • 1st row: number of the first vertex of the face edge.
  • 2nd row: number of the second vertex of the face edge.
  • 3rd row: number of the third vertex of the face edge.
  • 4th row: set to 0, present for compatibility with MatLab PDE-tool.
  • 5th row: set to 0, present for compatibility with MatLab PDE-tool.
  • 6th row: set to 0, present for compatibility with MatLab PDE-tool.
  • 7th row: set to 0, present for compatibility with MatLab PDE-tool.
  • 8th row: number of the geometrical volume to the right of the face edge.
  • 9th row: number of the geometrical volume to the left of the face edge.
  • 10th row: number of the geometrical border containing the face edge.
• t: matrix with size 5 times number of mesh elements.
  • 1st row: number of the first vertex of the element.
  • 2nd row: number of the second vertex of the element.
  • 3rd row: number of the third vertex of the element.
  • 4th row: number of the fourth vertex of the element.
  • 5th row: number of the geometrical volume containing the element.

See also: msh2m_structured_mesh, msh3m_gmsh, msh2m_mesh_along_spline, msh3m_join_structured_mesh, msh3m_submesh.