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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
58 Meshless methods and their numerical properties
by differentiation of the basis functions in the B(x, y) vector. It is further
evident that the present shape functions N
n
(x, y) satisfy the consistency
conditions dened as Equation (3.10) or (3.11) for all the independent basis
functions b
i
(x, y) (i = 1, 2, …, β). In particular, when b
1
(x, y) = 1.0, b
2
(x,y)
= x and b
3
(x,y) = y are taken in the discretised consistency conditions of
Equation (3.11), one can have
∑∑
=−−∆
==
==
Bu vC xyKx uy vS Nxyi1.0(,)*( ,) (,
)(
,)
(1
)
nn
n
N
k
n
k
nn n
n
N
11
T T
(3.17)
∑∑
=−−∆
==
==
xuvxyKxuyvxS Nxyx iBC(,)*(,)( ,) (,)(2)
nn
n
N
k
n
k
nn nnn
n
N
11
T T
(3 . 18 )
∑∑
=−−∆
==
==
BCyuvxyKxuyv
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Publisher Resources

ISBN: 9781466517462