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]