
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
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 ...