Weighted Least Squares (WLS): Difference between revisions
From Medusa: Coordinate Free Meshless Method implementation
More actions
No edit summary |
No edit summary |
||
| Line 4: | Line 4: | ||
[[File:image_1avhdsfej1b9cao01029m1e13o69.png|600px|thumb|upright=2|alt=1D MLS example|<caption>Example of 1D MLS approximation </caption>]] | [[File:image_1avhdsfej1b9cao01029m1e13o69.png|600px|thumb|upright=2|alt=1D MLS example|<caption>Example of 1D MLS approximation </caption>]] | ||
</figure> | </figure> | ||
In general, approximation function can be written as | |||
\[\hat u({\bf{p}}) = \sum\limits_i^m {{\alpha _i}{b_i}({\bf{p}})} = {{\bf{b}}^{\rm{T}}}{\bf{\alpha }}\] | |||
Revision as of 16:20, 20 October 2016
One of the most important building blocks of the meshless methods is the Moving Least Squares approximation, which is implemented in the EngineMLS class.
In general, approximation function can be written as \[\hat u({\bf{p}}) = \sum\limits_i^m {{\alpha _i}{b_i}({\bf{p}})} = {{\bf{b}}^{\rm{T}}}{\bf{\alpha }}\]