Results
=========

In the 2 tables below, the maximum relative error associated with the double projection was noted for the various scenarios: straight or curved edges, types of cells, linear or quadratic field,...

When the projection error is less than 1.e-9, the box is colored yellow. The projection is then considered to be "perfect".

Notes:

The combination "curved edges + mesh size LIN" doesn't exist!

Degree QUAD + doesn't exist for TETRA/PYRAM


Projecting a mesh onto another (different) mesh
----------------------------------------------------------


+------+--------------+------------+---------+----------+-----------+
|flanks|Degree of mesh|Field degree|TRIA/QUAD|HEXA/PENTA|TETRA/PYRAM|
+------+--------------+------------+---------+----------+-----------+
|rights|lin           |1           |6.6E-12  |4.9E-12   |2.2E-16    |
+      +              +------------+---------+----------+-----------+
|      |              |2           |6.3E-03  |4.2E-03   |0.046      |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |2.0E-03  |1.3E-03   |0.012      |
+      +--------------+------------+---------+----------+-----------+
|      |quad          |1           |2.6E-11  |2.0E-11   |5.2E-16    |
+      +              +------------+---------+----------+-----------+
|      |              |2           |4.3E-04  |2.8E-04   |5.5E-16    |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |1.1E-04  |7.7E-05   |1.5E-04    |
+      +--------------+------------+---------+----------+-----------+
|      |Quad +        |1           |3.0E-11  |2.2E-11   |           |
+      +              +------------+---------+----------+-----------+
|      |              |2           |1.1E-10  |6.5E-11   |           |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |2.5E-06  |4.9E-06   |           |
+------+--------------+------------+---------+----------+-----------+
|curves|quad          |1           |2.3E-03  |1.7E-03   |0.023      |
+      +              +------------+---------+----------+-----------+
|      |              |2           |0.012    |6.5E-03   |0.048      |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |2.9E-03  |1.9E-03   |0.033      |
+      +--------------+------------+---------+----------+-----------+
|      |Quad +        |1           |2.3E-03  |1.7E-03   |           |
+      +              +------------+---------+----------+-----------+
|      |              |2           |0.012    |6.5E-03   |           |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |2.9E-03  |1.9E-03   |           |
+------+--------------+------------+---------+----------+-----------+


Projection of a mesh onto itself
-------------------------------------


+------+--------------+------------+---------+----------+-----------+
|flanks|Degree of mesh|Field degree|TRIA/QUAD|HEXA/PENTA|TETRA/PYRAM|
+------+--------------+------------+---------+----------+-----------+
|rights|lin           |1           |0.0E+00  |4.6E-16   |0.0E+00    |
+      +              +------------+---------+----------+-----------+
|      |              |2           |0.0E+00  |3.3E-16   |0.0E+00    |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |0.0E+00  |3.9E-16   |0.0E+00    |
+      +--------------+------------+---------+----------+-----------+
|      |quad          |1           |3.4E-16  |9.2E-16   |7.8E-16    |
+      +              +------------+---------+----------+-----------+
|      |              |2           |4.0E-16  |1.0E-15   |1.1E-15    |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |3.8E-16  |8.0E-16   |7.8E-16    |
+      +--------------+------------+---------+----------+-----------+
|      |Quad +        |1           |8.1E-16  |8.8E-16   |           |
+      +              +------------+---------+----------+-----------+
|      |              |2           |8.8E-16  |1.2E-15   |           |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |8.4E-16  |8.9E-16   |           |
+------+--------------+------------+---------+----------+-----------+
|curves|quad          |1           |1.2E-10  |9.6E-11   |1.1E-10    |
+      +              +------------+---------+----------+-----------+
|      |              |2           |7.1E-10  |3.0E-10   |2.7E-10    |
+      +              +------------+---------+----------+-----------+
|      |              |2+          |2.5E-10  |1.8E-10   |2.6E-10    |
+      +--------------+------------+---------+----------+-----------+
|      |Quad +        |1           |1.3E-10  |9.6E-11   |           |
+      +--------------+------------+---------+----------+-----------+
|      |              |2           |5.2E-10  |3.0E-10   |           |
+      +--------------+------------+---------+----------+-----------+
|      |              |2+          |2.5E-10  |1.8E-10   |           |
+------+--------------+------------+---------+----------+-----------+