A study of design velocity field computation for shape optimal design

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

[2]  K. Rektorys.  Variational Methods in Mathematics, Science and Engineering , 1977 .

[3]  M. E. Botkin,et al.  Shape Optimization of Plate and Shell Structures , 1981 .

[4]  M. Imam.  Three‐dimensional shape optimization , 1982 .

[5]  Edward J. Haug,et al.  Design Sensitivity Analysis of Structural Systems , 1986 .

[6]  J. N. Reddy,et al.  Applied Functional Analysis and Variational Methods in Engineering , 1986 .

[7]  Noboru Kikuchi,et al.  Adaptive grid-design methods for finite delement analysis , 1986 .

[8]  R. Haftka,et al.  Structural shape optimization — a survey , 1986 .

[9]  Kyung K. Choi,et al.  Design sensitivity analysis and optimization of built-up structures , 1986 .

[10]  Ren-Jye Yang,et al.  A modular approach for three-dimensional shape optimization of structures , 1987 .

[11]  Kyung K. Choi,et al.  Shape design sensitivity analysis and optimal design of structural systems , 1987 .

[12]  Jean Hou,et al.  On the design velocity field in the domain and boundary methods for shape optimization , 1988 .

[13]  A. Belegundu,et al.  A shape optimization approach based on natural design variables and shape functions , 1988 .

[14]  Subramaniam Rajan,et al.  Shape optimal design using fictitious loads , 1989 .

[15]  Kyung K. Choi,et al.  3‐D shape optimal design and automatic finite element regridding , 1989 .

[16]  R. J. Yang,et al.  A three-dimensional shape optimization system—shop3D , 1989 .

[17]  Subramaniam Rajan,et al.  A comparison of Natural and Geometric Approaches for Shape Optimal Design , 1990 .

[18]  Srinivas Kodiyalam,et al.  A constructive solid geometry approach to three-dimensional shape optimization , 1991 .

[19]  M. E. Botkin.  Shape design modelling using fully automatic three-dimensional mesh generation , 1991 .

[20]  Srinivas Kodiyalam,et al.  Constructive solid geometry approach to three-dimensional structuralshape optimization , 1992 .

[21]  Kyung K. Choi,et al.  A geometry-based parameterization method for shape design of elastic solids , 1992 .

[22]  S. Zhang,et al.  A systematic approach for generating velocity fields in shape optimization , 1992 .

[23]  K. Choi,et al.  An error analysis and mesh adaptation method for shape design of structural components , 1992 .

[24]  Daniel A. Tortorelli,et al.  A Geometric Representation Scheme Suitable for Shape Optimization , 1993 .

[25]  Kyung K. Choi,et al.  Shape Design Sensitivity Analysis and What-if Tool for 3-D Design Applications , 1993 .