I understand that the principle of XFEM is enrichment:
XFEM is a local partition of unity (PUM) enriched finite element method. By local, it means that only a region near
the discontinuities such as cracks, holes, material interfaces are enriched. The most important concept in this
method is "enrichment" which means that the displacement approximation is enriched (incorporated) by additional
problem-specific functions.
Similarly-what is the principle of mesh free methods?
I have no knowledge of mesh free methods.Is it that mesh-free means "element free"? Nodes would always be present
even in mesh free methods.Right?
Each node would be associated with a function "w1"??
How is the concept of "enrichment" applicable to mesh free methods?
help me out ...
with regards,
Ashutosh Anand
ashutoshmechy [at] gmail.com
In reply to help me out ... by ashutoshmechy
PUM-base enrichment in meshless methods
Hi,
You could refer this paper to know how PUM-based enrichment is done within meshless methods:
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0T-4RM1KTJ-…
In that paper, a detailed description of how to program enriched meshless method, say EFG (element free galerkin) is also presented. A link to the download page is there too.