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Meshless Methods and Their Numerical Properties
book

Meshless Methods and Their Numerical Properties

by Hua Li, Shantanu S. Mulay
February 2013
Intermediate to advanced content levelIntermediate to advanced
447 pages
14h 16m
English
CRC Press
Content preview from Meshless Methods and Their Numerical Properties
160 Meshless methods and their numerical properties
of λ
1
by 2, and with Equation (4.5) to compute the values of h
r2
. As a result,
N
r
= 5 × 5, 9 × 9, 13 × 13, and 19×19 are obtained. The convergence curves
are plotted in Figure4.10a and Figure4.10b and the convergence rates of the
derivative are superconvergent. Figure4.10c shows a comparison between
the numerical and analytical values of the distributed eld variable.
The fourth 2-D problem is of steady-state heat conduction in a rectangu-
lar plate domain with a heat source. The governing equation and boundary
conditions are given as
Ts sy sy
xy
2sech[(0.5)]tanh[ (0.5)],(0 0.5),(
01
)
222
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Publisher Resources

ISBN: 9781466517462