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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
Convergence and consistency analyses 205
The analytical solution derived using the Fourier series is given as T(x,y) =
[]
∑π π−−π π
=
Tnnb
an
xa nya
sn
n
sinh(/)2[1 (1)]sin( /)sinh
(/)
1
1
. This problem is
solved, by including up to second order monomials in the shape function basis
and with 5 × 5, 9 × 9, 17 × 17, 21 × 21, 26 × 26, and 33 × 33 eld and 44 × 44
virtual nodes, respectively. The uniform and randomly distributed eld nodes
are combined with the cosine and uniformly distributed virtual nodes. The
convergence rates of both types of virtual nodes are given in Table4.12 and
Table4.13 and corresponding convergence curves are plotted in Fig ...
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Publisher Resources

ISBN: 9781466517462