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Finite Element Analysis Using Non-Conforming Mesh

[+] Author Affiliations
Ashok V. Kumar, Ravi Burla

University of Florida, Gainesville, FL

Sanjeev Padmanabhan

Spatial Corp., Westminster, CO

Linxia Gu

South Dakota School of Mines and Technology, Rapid City, SD

Paper No. DETC2007-35693, pp. 119-131; 13 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 27th Computers and Information in Engineering Conference, Parts A and B
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4803-5 | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME


A method for engineering analysis using a regular or structured grid is described which does not require a conforming mesh to approximate the geometry of the analysis domain. The geometry of the domain is represented using implicit equations and a structured grid is used to approximate the solution. Solution structures are constructed using implicit equations such that the essential boundary conditions are satisfied exactly. The use of structured grid eliminates the need to generate a conforming mesh and thus reduces time taken to create models for analysis. This approach is used to solve boundary value problems arising in thermal and structural analysis. Convergence analysis is performed for several numerical examples and the results are compared with analytical and finite element analysis solutions to show that the method gives solutions that are similar to the finite element method in quality but is often less computationally expensive.

Copyright © 2007 by ASME



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