Difference between revisions of "Weighted Least Squares (WLS)"
From Medusa: Coordinate Free Mehless Method implementation
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[[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> | ||
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| + | 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 17:20, 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 \[\hat u({\bf{p}}) = \sum\limits_i^m {{\alpha _i}{b_i}({\bf{p}})} = {{\bf{b}}^{\rm{T}}}{\bf{\alpha }}\]
