A three-dimensional computational procedure for reproducing meshless methods and the finite element method Academic Article

abstract

• AbstractA flexible computational procedure for solving 3D linear elastic structural mechanics problems is presented that currently uses three forms of approximation function (natural neighbour, moving least squaresusing a new nearest neighbour weight functionand Lagrange polynomial) and three types of integration grids to reproduce the natural element method and the finite element method. The addition of more approximation functions, which is not difficult given the structure of the code, will allow reproduction of other popular meshless methods. Results are presented that demonstrate the ability of the firstorder meshless approximations to capture solutions more accurately than firstorder finite elements. Also, the quality of integration for the three types of integration grids is compared. The concept of a region is introduced, which allows the splitting of a domain into different sections, each with its own type of approximation function and spatial integration scheme. Copyright 2004 John Wiley & Sons, Ltd.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

author list (cited authors)

• Schembri, P., Crane, D. L., & Reddy, J. N.

citation count

• 6

complete list of authors

• Schembri, P||Crane, DL||Reddy, JN

publication date

• October 2004

publisher

• Wiley  Publisher

published in

• International Journal for Numerical Methods in Engineering  Journal

keywords

• Finite Element
• Meshless Methods
• Natural Neighbour
• Nearest Neighbour
• Parallel Computing

Digital Object Identifier (DOI)

• 10.1002/nme.1095

start page

• 896

end page

• 927

volume

• 61

issue

• 6

URL

• http://dx.doi.org/10.1002/nme.1095