Questions tagged [meshless-methods]
The meshless-methods tag has no usage guidance.
8 questions
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Developing a meshfree contouring algorithm
I would like to find the contours of a scalar function $u(x,y)$ available as a discrete set of function values $u_i = u(x_i,y_i)$ over a scattered set of points $(x_i,y_i), i=1,...,N$.
In my case, the ...
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What's a time centered Riemann problem?
I am trying to understand the meshless methods as described in https://arxiv.org/pdf/1409.7395.pdf. I'm having trouble understanding the following step: (Page 7, just after equation 17)
Now, rather ...
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Eulerian vs Lagrangian vs Mesh-based vs Meshfree/Meshless methods
Hailing from the scicomp community recently getting into computer-graphics, I have noticed that the scicomp communities talk about mesh-based methods like FDM, FVM, FEM, etc, vs meshfree or meshless ...
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Dirichlet term in error estimations
I am working on a method based on moving least square approximation where shape functions do not satisfy Kroneker Delta property. So Dirichlet boundary condition should be enforced.
I usually used ...
- 533
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Size of the support
I am working on moving least square approximation. To well-define of this method, the following matrix of size $n \times m$ must be of rank $m$.
For $m=3$
$${\bf A }=\begin{pmatrix}
1&x_1&y_1\\...
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Meshless Methods and the Kronecker Delta Property
In texts I often read that meshless methods, as opposed to the FEM, do not exhibit the Kronecker Delta Property [1]:
$N_I(x_J)\neq\delta_{IJ} = \begin{cases}1 &\mbox{if } I=J \\0 &\mbox{...
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How to determine the support/influence domain for irregularly distributed nodes in the Element-Free Galekin Method?
EDIT (26-12-14):In the Belytschko's EFG code, the domain of influence for uniform distributed node can be calculated using the code below; my question is how to calculate xspac and yspac when the ...
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Could you give examples of serious usage of meshfree methods?
I would like to hear about scientific codes and commercial packages utilizing meshless methods like Element-Free Galerkin based on Moving Least Squares functions. By "serious" I mean they could be ...
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