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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
228 Meshless methods and their numerical properties
1
0.8
0.6
0.4
0.2
–0.2
–0.4
–0.6
–0.8
–1
0 0.2 0.4
(a) (b)
0.6
x
0.8
t = 0
t = 0.5
t = 1.0
t = 0.25
t = 0.75
t = 0
t = 0.5
t = 1.0
t = 0.0
t = 0.4
t = 0.6
t = 0.25
t = 0.75
1
0
–5
–4
–3
–2
–1
0
1
2
3
4
5
0.2 0.4 0.6
(c)
Oscillations
x
0.8 1
0
φ
1
0.8
0.6
0.4
0.2
–0.2
–0.4
–0.6
–0.8
–1
0 0.2 0.4 0.6
x
0.8
1
0
φ
φ
Figure 5.6 The wave is preserved for r = 1 (a) and r = 0.5 (b), but oscillations are observed
for r = 2 (c) when the rst-order wave equation is solved by locally applied
DQ method with the rst discretisation scheme. (From H. Li, S. Mulay, and
S. See. (2009c). Computer Modeling in Engineering and Sciences, 54, 147–199.
With permission.)
0.8
1
0.6 ...
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Publisher Resources

ISBN: 9781466517462