AUTOMATIC GENERATION AND CONTROL OF FINITE ELEMENT MESHES

This paper discusses recent developments of finite element modeling techniques that, when properly combined, hold the promise of automating the vehicle design finite element modeling process. The areas considered are fully automatic mesh generation, geometric modeling needs of automated finite element modeling, and adaptive finite element analysis. Finally, consideration is given to how the user can expect to see finite element modeling evolve from its current interactive mode of operation to fully automatic operation. For the covering abstract see IRRD 863693.

[1]  D. F. Watson.  Computing the n-Dimensional Delaunay Tesselation with Application to Voronoi Polytopes , 1981, Comput. J..

[2]  J. A. Stricklin,et al.  On isoparametricvs linear strain triangular elements , 1977 .

[3]  Mark S. Shephard,et al.  Approaches to the Automatic Generation and Control of Finite Element Meshes , 1988 .

[4]  Ivo Babuška,et al.  Accuracy estimates and adaptive refinements in finite element computations , 1986 .

[5]  Mark S. Shephard,et al.  Automatic crack propagation tracking , 1985 .

[6]  Mark S. Shephard,et al.  The versatility of automatic mesh generators based on tree structures and advanced geometric constructs , 1988 .

[7]  S. Lo.  A NEW MESH GENERATION SCHEME FOR ARBITRARY PLANAR DOMAINS , 1985 .

[8]  M. E. Botkin,et al.  SHAPE OPTIMIZATION OF THREE-DIMENSIONAL STAMPED AND SOLID AUTOMOTIVE COMPONENTS , 1986 .

[9]  G. Strang,et al.  An Analysis of the Finite Element Method , 1974 .

[10]  Renato Perucchio,et al.  Toward automatic finite element analysis , 1987 .

[11]  R. B. Simpson,et al.  Triangular meshes for regions of complicated shape , 1986 .

[12]  W. Frey.  Selective refinement: A new strategy for automatic node placement in graded triangular meshes , 1987 .

[13]  B Wördenweber.  Finite element mesh generation , 1984 .

[14]  I. Babuska,et al.  Analysis of Optimal Finite Element Meshes in R1 , 1979 .

[15]  Ernst Rank,et al.  An expert system for the optimal mesh design in the hp‐version of the finite element method , 1987 .

[16]  Donald Meagher,et al.  Geometric modeling using octree encoding , 1982, Comput. Graph. Image Process..

[17]  J. Penman,et al.  An approach to self adaptive mesh generation , 1985 .

[18]  William H. Frey,et al.  An apporach to automatic three‐dimensional finite element mesh generation , 1985 .

[19]  Robin Sibson,et al.  Locally Equiangular Triangulations , 1978, Comput. J..

[20]  van Lhtm Lambert Beukering,et al.  A general purpose two-dimensional mesh generator , 1978 .

[21]  I. Babuska,et al.  A‐posteriori error estimates for the finite element method , 1978 .

[22]  D. A. Field,et al.  Implementing Watson's algorithm in three dimensions , 1986, SCG '86.

[23]  M. Shephard,et al.  Geometry-based fully automatic mesh generation and the delaunay triangulation , 1988 .

[24]  W. Rheinboldt,et al.  Error Estimates for Adaptive Finite Element Computations , 1978 .

[25]  Nguyen-Van-Phai,et al.  Automatic mesh generation with tetrahedron elements , 1982 .

[26]  J. Cavendish.  Automatic triangulation of arbitrary planar domains for the finite element method , 1974 .

[27]  Mark S. Shephard,et al.  AUTOMATIC MESH GENERATION FOR THREE-DIMENSIONAL SOLIDS , 1985 .

[28]  K. R. Grice,et al.  Robust, geometrically based, automatic two‐dimensional mesh generation , 1987 .

[29]  Tony C. Woo,et al.  AN ALGORITHM FOR GENERATING SOLID ELEMENTS IN OBJECTS WITH HOLES , 1984 .