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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
Formulation of classical meshless methods 25
kernel function xed at the node (x
k
, y
k
). The order of approximate
function
fxy
h
(,)
is determined by the order of the monomial basis func-
tions used in the correction function
CxyuvPuv cxy
T
(,,,)(,) (,)=
, where
Puvbuv buvbuv
T
m
(,)(,),(,),...,(,)
12
{}
=
is the column vector of the m
th
order monomial and c(x,y) is the m
th
order unknown row vector. The
moment matrix in the xed RKPM is constant for a local domain due to
the xed kernel (Aluru and Li, 2001).
The approximate function in the moving kernel method is given as
fxyCxyuv Kx uy vfuv du dv
h
(,)(,,,) (,)(,)
=−
(2.49)
As seen from Equation (2.49), ...
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Publisher Resources

ISBN: 9781466517462