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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
270 Meshless methods and their numerical properties
polynomial basis of function approximation. The governing equation and
boundary conditions are given as
df
dx
x
xx
x6
2
4exp (0 1)
2
222
22
=−
α
−β
α
−β
α
<<
(6.15)
fx
df x
dx
(0)exp ,
(1)
32
1
exp
1
2
22
2
==
β
α
=
=−
−β
α
−β
α
(6.16)
Table6.2 Convergence rates for rst 1-D problem of
Poisson equation by ARDQ method when
random eld nodes at beginning of
computation are combined with cosine and
uniform virtual nodes
Function
Convergence rate
(cosine virtual nodes)
Convergence rate
(uniform virtual nodes)
f 2.31 3.8
f
, x
1.32 1.1
f
, x x
0.4 0.5
Source: S.
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Publisher Resources

ISBN: 9781466517462