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Meshless Methods and Their Numerical Properties
book

Meshless Methods and Their Numerical Properties

by Hua Li, Shantanu S. Mulay
February 2013
Intermediate to advanced content levelIntermediate to advanced
447 pages
14h 16m
English
CRC Press
Content preview from Meshless Methods and Their Numerical Properties
Convergence and consistency analyses 155
(a) (b)
160
Uniform field nodes
Random field nodes
140
120
100
80
Sobolev norm (E)
In (Global error)
60
–6
–8
–10
–12
–14
–16
–18
–20
–6
–5
–4
In (h)
–3
2.7
2.5
2.5
2.93
2.1
2.3
–2
40
20
0 100 200 300
Field Nodes (NP)
400 500 600 700
f (uni. fld.)
f, x (uni. fld.)
f, xx (uni. fld.)
f (ran. fld.)
f, x (ran. fld.)
f, xx (ran. fld.)
Figure 4.4 Reduction in complete error norm with eld nodes obtained by supercon-
vergence condition (a) and convergence plots by uniform and random eld
nodes with fourth order monomials (b) for second 1-D problem. (From
H. Li, S. Mulay, and S. See. (2009b). Computer Modeling in Engineering and
Sciences, 48, 43–82. With pe ...
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Publisher Resources

ISBN: 9781466517462