A general two‐dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings

Robert Haber, Mark S. Shephard, John F. Abel, Richard H. Gallagher, Donald P. Greenberg

Research output: Contribution to journalArticle

Abstract

Finite element preprocessor programs have been developed in recent years in order to expedite the task of data preparation. A key decision in the design of these programs is the choice of a method for automated mesh generation. Three popular methods (Laplacian, isoparametric and transfinite mappings) are compared. Transfinite mappings with boundary information represented in discrete form are found to possess distinct advantages for the task of mesh generation. A two‐dimensional preprocessor program utilizing the discrete transfinite mappings is described. Interactive computer graphics techniques are used extensively to facilitate data preparation and display. The geometry‐generating routines are general, and may be used in any finite element application. A specialized graphical ‘attribute editor’ for structural mechanics problems is also described. This editor provides an efficient method of specifying boundary conditions, material properties, loads, etc.

Original languageEnglish (US)
Pages (from-to)1015-1044
Number of pages30
JournalInternational Journal for Numerical Methods in Engineering
Volume17
Issue number7
DOIs
StatePublished - Jul 1981

Fingerprint

Program processors
Mesh generation
Mesh Generation
Finite Element
Preparation
Interactive computer graphics
Structural Mechanics
Computer graphics
Material Properties
Display
Materials properties
Mechanics
Display devices
Attribute
Boundary conditions
Distinct
Graphics
Design
Form

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

A general two‐dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings. / Haber, Robert; Shephard, Mark S.; Abel, John F.; Gallagher, Richard H.; Greenberg, Donald P.

In: International Journal for Numerical Methods in Engineering, Vol. 17, No. 7, 07.1981, p. 1015-1044.

Research output: Contribution to journalArticle

Haber, Robert ; Shephard, Mark S. ; Abel, John F. ; Gallagher, Richard H. ; Greenberg, Donald P. / A general two‐dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings. In: International Journal for Numerical Methods in Engineering. 1981 ; Vol. 17, No. 7. pp. 1015-1044.
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