Skip to Main Content
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
Recent developments of meshless methods 133
The approximate derivatives of the rst-order for a 2-D problem are simi-
larly given by
=
=
fxyafx y(,
)(,)
xij
ik
x
k
j
k
N
(1)
1
x
(3.210)
=
=
fxyafx y(,
)(,)
yij
jk
y
i
k
k
N
(1)
1
y
(3.211)
where a
ik
x
and a
jk
y
are the DQ weighting coefcients in the x and y direc-
tion, respectively. They are computed by Equation (3.209), and N
x
and
N
y
are the total virtual nodes in the local DQ domain of the concerned
virtual node
xy(, )
ij
in the x and y directions, respectively. Similarly, the
approximate derivatives of the second order are as
=
=
dfxy
dx
bf
xy
(,)
(,)
ij
ik
h
k
j
k
N
2
2
1
x
(3.212)
=
=
dfxy
dy
bf
xy
(, )
(, )
ij
jk
h
i
k
k
N
2
2
1
y
(3.213)
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Extended Finite Element Method

Extended Finite Element Method

Zhuo Zhuang, Zhanli Liu, Binbin Cheng, Jianhui Liao

Publisher Resources

ISBN: 9781466517462