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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
30 Meshless methods and their numerical properties
It is noted in Equation (2.65) that the unknown parameter
i
α
is not con-
stant and varies with the position x.
In the FPM (Oñate et al., 1996a), the governing equations are discretised
by the point collocation method, and the LS approximation is used by sim-
ply choosing
w
ii
, namely the Dirac delta function, resulting in the gov-
erning and boundary equations as
Au b
ii
[(
ˆ
)] 0in
−=
(2.67)
Bu
tu
u
ii ti
pu
(
ˆ
)] 0in,and
ˆ
0in
−= Γ−
(2.68)
where Ω,
t
Γ
and
u
Γ
are the internal domain and Neumann and Dirichlet
boundaries, respectively. Equations (2.67) and (2.68) are simplied by sub-
stituting the shape f ...
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Publisher Resources

ISBN: 9781466517462