
Convergence and consistency analyses 155
Uniform field nodes
Random field nodes
140
120
100
80
In (Global error)
60
–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
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 ...