NDLI: Coupling finite element and meshless local petrov-galerkin methods for two-dimensional potential problems

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Coupling finite element and meshless local petrov-galerkin methods for two-dimensional potential problems

Content Provider	NASA Technical Reports Server (NTRS)
Author	Raju, I. S. Chen, T.
Copyright Year	2002
Description	A coupled finite element (FE) method and meshless local Petrov-Galerkin (MLPG) method for analyzing two-dimensional potential problems is presented in this paper. The analysis domain is subdivided into two regions, a finite element (FE) region and a meshless (MM) region. A single weighted residual form is written for the entire domain. Independent trial and test functions are assumed in the FE and MM regions. A transition region is created between the two regions. The transition region blends the trial and test functions of the FE and MM regions. The trial function blending is achieved using a technique similar to the 'Coons patch' method that is widely used in computer-aided geometric design. The test function blending is achieved by using either FE or MM test functions on the nodes in the transition element. The technique was evaluated by applying the coupled method to two potential problems governed by the Poisson equation. The coupled method passed all the patch test problems and gave accurate solutions for the problems studied.
File Size	1352685
Page Count	28
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_20030000833
Archival Resource Key	ark:/13960/t56f0sz0k
Language	English
Publisher Date	2002-01-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Finite Element Method Structural Design Computational Geometry Problem Solving Poisson Equation Galerkin Method Coupling Computer Aided Design Patch Tests Structural Analysis Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Article

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