
Adaptive analysis 275
0.8
Analytical
Numerical
NP = 253
Analytical
Numerical
NP = 253
Analytical
Numerical
NP = 253
0.6
(b)
0.4
x
Function
Function
0.20
10.80.6
(a)
0.4
x
0.20
10.80.6
0.4
x
0.20
–20
400
200
–200
–400
–600
–800
–1000
0
–15
–10
–5
5
10
15
0
0
0.5
–0.5
–1
Figure 6.9 Numerical and analytical distributions of values of f (a), (df/dx) (b), and (d
2
f/dx
2
)
(c) when second 1-D proble m is solved by AR DQ met hod. (From S. Mulay, H. Li, and
S. See. (2010). Computational Mechanics, 45, 467–493. With permission.)
Table6.7 Reduction in global error norm when second 1-d
problem is solved by ARDQ method coupled
with error recovery technique and RDQ method
with unif