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 language | English (US) |
|---|---|
| Pages (from-to) | 1015-1044 |
| Number of pages | 30 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 17 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 1981 |
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ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics
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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 journal › Article
}
TY - JOUR
T1 - A general two‐dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings
AU - Haber, Robert
AU - Shephard, Mark S.
AU - Abel, John F.
AU - Gallagher, Richard H.
AU - Greenberg, Donald P.
PY - 1981/7
Y1 - 1981/7
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0019592106&partnerID=8YFLogxK
U2 - 10.1002/nme.1620170706
DO - 10.1002/nme.1620170706
M3 - Article
AN - SCOPUS:0019592106
VL - 17
SP - 1015
EP - 1044
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 7
ER -