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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
Recent developments of meshless methods 63
(a) Computational domain and boundary conditions.
(b) Profile comparison of field variable
f (x, y)
via regular nodal distribution.
(c) Profile comparison of field variable
f (x, y
)
via irregular nodal distribution.
(d) Convergence comparison (ξ-Global error, Point distance).
f
, x
(1, y) = –3 + 6y + 3y
2
f
,x
(0, y) = 3y
2
f(x, 1) = –x
3
–1 + 3x + 3x
2
f(x, 0) =–x
3
x
y
0
(1, 1)
0
0.2
0.4
0.6
0.8
1
0
6
4
2
f(x, y)
0
–2
1
0.8
0.6
0.4
0.5
0
y
x
0.2
0
1
0.5
1
–2
0
2
4
6
y
x
f (x, y)
Hermite-cloud
Exact solution
–3.6 –3.4 –3.2 –3.0 –2.8 –2.6 –2.4 –2.2 –2.0
–9.5
–9.0
–8.5
–8.0
–7.5
–7.0
–6.5
–6.0
–5.5
–5.0
–4.5
–4.0
–3.5
ln (ζ)
ln (∆)
Uniform points (finite cloud)
Halton distribution ...
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Publisher Resources

ISBN: 9781466517462