Talk:Principles of grid generation
 | The contents of the Principles of grid generation page were merged into Mesh generation#Techniques on 23 October 2022. For the contribution history and old versions of the merged article please see its history. |
This claim in the Unstructured Grid section is inaccurate:
On the other hand unstructured grids require a higher cell density in the boundary layer because the cell needs to be as equilateral as possible to avoid errors.
The cells do not need to be as equilateral as possible. (1) That presumes that triangles are used, which is not always the case and (2) the triangles should only be equilateral with respect to the distance metric of the field(s) they are being used to approximate. If there is littler variation in one direction, the triangles may be thin in that direction without reducing the fidelity of the solution. See for example: Anisotropic Voronoi diagrams and guaranteed quality anisotropic mesh generation (Laboiselle and Shewchuck, 2003) metric-orthogonal anisotropic mesh generation (Loseille, 2014).
Using its smoothness as an advantage Laplace Equations can preferably be used because the Jacobian found out to be positive as a result of maximum principle for harmonic functions.
I can't even parse this sentence. What is supposed to be meant here? — Preceding unsigned comment added by 128.244.200.84 (talk) 13:52, 24 September 2015 (UTC)