Mesh adaptation algorithm

Goals

  1. Mesh modifications in agreement to a size map
  2. Generation of equilateral elements (possibly in a given metric)

Input data

A mesh and, eventually, nodal values prescribing the wanted edge sizes at each node (i.e. a size map).

Steps

  1. Surface analysis
  2. Rough surface mesh modifications for a good ‘samplig’ of the surface:
    • split too long edges (using patterns)
    • collapse too short edges
    • swap too bad elements
  3. Size map construction:
    • intersection of the geometric (defined on boundaries) and user-prescribed (defined on the entire mesh) size maps
    • size map gradation with respect to the prescribed gradation parameter hgrad: Latex formula
  4. Rough surface mesh modifications with respect to the size map:
    • split (using patterns along the surface, and a Delaunay kernel inside the volume) or collape edges
    • swap edges belonging to too bad elements
    • vertex relocation to improve the quality

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