Biomedical Engineering Reference
In-Depth Information
Fig. 5.25 Medium
displacement errors obtained
for the: a regular nodal
distribution; b irregular nodal
distribution. Logarithmic
scales
(a)
(b)
discretized in increasingly denser nodal distributions. Two types of nodal distri-
butions were considered, regular nodal distributions (k = ?) and random irreg-
ular nodal distributions with k = 5. In order to obtain a reliable comparison, each
irregular nodal distribution generated was used to analyse the problem with the
NNRPIM, the FEM and the RPIM.
In Fig.
5.25
are presented the obtained results regarding the medium dis-
placement errors: regular nodal distributions Fig.
5.25
a and irregular nodal dis-
tributions Fig.
5.25
b. It is visible the similitude between the RPIM and the
NNRPIM convergence lines.
In Figs.
5.26
,
5.27
and
5.28
are presented the obtained results regarding the
medium stress errors, which are obtained with Eq. (
5.10
). Notice that regarding the
stress field, when regular nodal distributions are used, the NNRPIM converges to a
more accurate final solution and also that the results obtained with the NNRPIM
are always more accurate than the solution of any other studied numerical method.
