Finite element analysis using nonconforming mesh

Ashok V. Kumar, Ravi Burla, Sanjeev Padmanabhan, Linxia Gu

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A method for finite element analysis using a regular or structured grid is described that eliminates the need for generating conforming mesh for the geometry. The geometry of the domain is represented using implicit equations, which can be generated from tradi tional solid models. Solution structures are constructed using implicit equations such that the essential boundary conditions are satisfied exactly. This approach is used to solve boundary value problems arising in thermal and structural analysis. Convergence analy sis 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. Furthermore, by eliminating the need for mesh generation, better integration can be achieved between solid modeling and analysis stages of the design process.

Original languageEnglish (US)
Pages (from-to)310051-3100511
Number of pages2790461
JournalJournal of Computing and Information Science in Engineering
Volume8
Issue number3
DOIs
StatePublished - Dec 1 2008

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Finite element method
Mesh generation
Geometry
Structural analysis
Thermoanalysis
Boundary value problems
Boundary conditions

ASJC Scopus subject areas

  • Software
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

Cite this

Finite element analysis using nonconforming mesh. / Kumar, Ashok V.; Burla, Ravi; Padmanabhan, Sanjeev; Gu, Linxia.

In: Journal of Computing and Information Science in Engineering, Vol. 8, No. 3, 01.12.2008, p. 310051-3100511.

Research output: Contribution to journalArticle

Kumar, Ashok V. ; Burla, Ravi ; Padmanabhan, Sanjeev ; Gu, Linxia. / Finite element analysis using nonconforming mesh. In: Journal of Computing and Information Science in Engineering. 2008 ; Vol. 8, No. 3. pp. 310051-3100511.
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