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
150 Meshless methods and their numerical properties
norm of derivative reduces as the eld nodes are increased. Therefore, the
complete or Sobolev error norm is computed as
Eff
I
e
I
n
I
N
r
(),Sobolev normofthe orde
r0
0
2
1
()
=−
=
(4.12)
EE
f
x
f
x
j
I
e
j
I
n
Ij
N
r
() ,Sobolev normofthe orde
r1
1
0
2
1, 1
,3
()
=+
==
(4.13)
where (E)
0
and (E)
1
are the Sobolev error norms of the zeroth and rst-
order, respectively, and e and n are the exact and numerical values, respec-
tively. It is seen from Equation (4.13) that as the square of error in the values
of function and derivative is added at each eld node, the contribution of
the term (E)
0
to the ter ...
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