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Some advantages of the elliptic weight function for the element free galerkin method

Naghdabadi, R ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1115/PVP2005-71455
  3. Publisher: 2005
  4. Abstract:
  5. In this paper, an anisotropic weight function in the elliptic form is introduced for the Element Free Galerkin Method (EFGM). In the circular (isotropic) weight function, each node has one characteristic parameter that determines its domain of influence. In the elliptic weight function, each node has three characteristic parameters that are major influence radius, minor influence radius and the direction of the major influence. Using the elliptic weight function each point of the domain may be affected by a less number of nodes in certain conditions. Thus, the computational cost of the method is decreased. In addition, the dependency of the solution on the method that is used for the enforcement of the essential boundary conditions, decreases. As an application of the proposed elliptic weight function, some examples of elastostatic problems are solved and the results are compared with those available in the literature. Copyright © 2005 by ASME
  6. Keywords:
  7. Elastostatic problems ; Element free Galerkin method (EFGM) ; Meshless methods ; Weight function ; Boundary conditions ; Costs ; Elasticity ; Numerical analysis ; Problem solving ; Galerkin methods
  8. Source: 2005 ASME Pressure Vessels and Piping Conference, PVP2005, Denver, CO, 17 July 2005 through 21 July 2005 ; Volume 2 , 2005 , Pages 459-464 ; 0277027X (ISSN)
  9. URL: https://asmedigitalcollection.asme.org/PVP/proceedings-abstract/PVP2005/41871/459/308708?redirectedFrom=PDF