Biomedical Engineering Reference
In-Depth Information
Fig. 5.11 Shape parameter c
effect on the V2P0 NNRPIM
solution accuracy. a Regular
nodal distribution. b Irregular
nodal distribution.
Logarithmic scales
1.0E+03
(a)
E
f
med
tot
1.0E+00
1.0E-03
1.0E-06
1.0E-09
γ
1.0E-12
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
1.0E+03
(b)
E
f
med
tot
1.0E+00
1.0E-03
1.0E-06
1.0E-09
γ
1.0E-12
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
scheme, Section '
'
Basic Integration Scheme
''. Thus, using the obtained optimal
MQ-RBF shape parameters a study to find the optimal integration scheme is carried
out.
The irregular nodal distribution presented in Fig.
5.1
a is used and the optimal
shape parameters presented in Table
5.5
are applied to the RPIM and NNRPIM
formulations. The problem is studied for various integration schemes considering
each RPIM and NNRPIM formulation previously presented.
For the RPIM analysis several background integration meshes are constructed.
Considering the quadrilateral integrations cells presented in Fig.
5.1
a, the number
of integration points of the Gauss-Legendre quadrature scheme is varied from
1 9 1 integration points per integration cell to 5 9 5 integration points per inte-
gration cell. The medium displacement errors, E
med
, for each analysis are pre-
sented in Fig.
5.19
.
