SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
SURFACES FOR COMPUTER-AIDED DESIGN OF SPACE FORMS
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In many cases, the overriding difficulty associated with finite element analyses of complex structures is the generation of error-free finite element meshes. In view of this situation, a number of mesh generation schemes for planar (e.g., [1], [2]) and shell (e.g., [3], [4]) structures have recently been proposed (see [5] for an extensive bibliography). At one extreme are the fully automatic methods in which the computer is used to determine regions of high and low element densities and then create a finite element mesh accordingly. At the other extreme are methods which require the analyst to completely define the element mesh, while the mesh generating algorithm itself performs only minor clerical tasks such as checking for consistency and error detection. While the fully automatic methods tend to be somewhat inflexible and frequently time consuming to implement, the simplest schemes fail to relieve the user of enough of the tedium accompanying manual decomposition of the structure.