A new support integration scheme for the weakform in mesh‐free methods

Abstract

A new support integration technique is proposed, which is similar to those used in truly mesh‐free methods. The contribution of this paper is to exploit the divergence‐free condition for the support integrals to construct quadrature formulas that only require three integration points per particle in two dimensions. Numerical examples show that the proposed integration method can achieve results that agree with manufactured closed‐form solutions. Copyright © 2009 John Wiley & Sons, Ltd.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 24, 2009
Source ID
10.1002/nme.2780

Entities

People

  • Ted Belytschko
  • Yan Y Liu

Organizations

  • Army Research Office
  • Office of Naval Research

Tags

Readers

  • Aerospace Engineering
  • Calculus or Mathematical Analysis
  • Military History