Meshless Methods - Finite Cloud and Boundary Cloud Techniques:
X. Jin, G. Li and N. R. Aluru,
``New approximations and collocation schemes in the finite cloud method'',
Computers and Structures,
Vol. 83, No. 17-18, pp. 1366-1385, 2005.
[pdf file]
V. Shrivastava and N. R. Aluru,
``A fast boundary cloud method for 3D exterior electrostatic analysis'',
International Journal for Numerical Methods in Engineering,
Vol. 59, No. 15, pp. 2019-2046, 2004.
[pdf file]
X. Jin, G. Li and N. R. Aluru,
``Positivity conditions in meshless collocation methods'',
Computer Methods in Applied Methods and Engineering,
Vol. 193, No. 12-14, pp. 1171-1202, 2004.
[pdf file]
G. Li, G. H. Paulino and N. R. Aluru,
``Coupling of the meshfree finite cloud method with the boundary element
method: A collocation approach'',
Computer Methods in Applied Mechanics and Engineering,
Vol. 192, No. 20-21, pp. 2355-2375, 2003.
[pdf file]
G. Li and N. R. Aluru,
``A boundary cloud method with a cloud-by-cloud polynomial basis'',
Engineering Analysis with Boundary Elements,
Vol. 27, No. 1, pp. 57-71, 2003.
[pdf file]
V. Shrivastava and N. R. Aluru,
``A fast boundary cloud method for exterior 2D electrostatic analysis'',
International Journal for Numerical Methods in Engineering,
Vol. 56, No. 2, pp. 239-260, 2003.
[pdf file]
G. Li and N. R. Aluru,
``Boundary cloud method: a combined scattered point/boundary integral
approach for boundary-only analysis'',
Computer Methods in Applied Mechanics and Engineering,
Vol. 191, No. 21-22, pp. 2337-2370, 15 March 2002.
[pdf file]
X. Jin, G. Li and N. R. Aluru,
``On the equivalence between least-squares and kernel approximations in meshless
methods'',
CMES:Computer Modeling in Engineering and Sciences,
Vol. 2, No. 4, pp. 447-462, 2001.
[pdf file]
N. R. Aluru and G. Li,
``Finite cloud method: A true meshless technique based on a fixed
reproducing kernel approximation'',
International Journal for Numerical Methods in Engineering,
Vol. 50, No. 10, pp. 2373-2410, 2001.
[pdf file]
C. Wordelman, N. R. Aluru and U. Ravaioli,
``A meshless method for the numerical solution of the 2- and 3-D semiconductor
Poisson equation'',
CMES:Computer Modeling in Engineering and Sciences,
1:123-128, 2000.
[pdf file]
N. R. Aluru,
``A point collocation method based on reproducing kernel approximations'',
International Journal for Numerical Methods in Engineering,
47:1083-1121, 2000.
[pdf file]