Stability of finite element models for distributed-parameter optimization and topology design

[1]  M. Fortin Old and new finite elements for incompressible flows , 1981 .

[2]  Björn Birnir,et al.  Complex hill's equation and the complex periodic korteweg‐de vries equations , 1986 .

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

[4]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of , 1986 .

[5]  R. Kohn,et al.  Optimal design and relaxation of variational problems, III , 1986 .

[6]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[7]  Noboru Kikuchi,et al.  The Mechanical and Remodeling Properties of Trabecular Bone , 1990 .

[8]  Katsuyuki Suzuki,et al.  Generalized layout optimization of three-dimensional shell structures , 1991 .

[9]  Philip E. Gill,et al.  Numerical Linear Algebra and Optimization , 1991 .

[10]  Katsuyuki Suzuki,et al.  Structural Optimization of a Linearly Elastic Structure using the Homogenization Method , 1991 .

[11]  Michel Fortin,et al.  Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.

[12]  Vadim Komkov,et al.  Geometric aspects of industrial design , 1992 .

[13]  N. Kikuchi,et al.  Solutions to shape and topology eigenvalue optimization problems using a homogenization method , 1992 .

[14]  H. Grootenboer,et al.  The behavior of adaptive bone-remodeling simulation models. , 1992, Journal of biomechanics.

[15]  H. Mlejnek,et al.  An engineer's approach to optimal material distribution and shape finding , 1993 .

[16]  Martin P. Bendsøe,et al.  Topology design of structures , 1993 .

[17]  Martin P. Bendsøe,et al.  A Displacement-Based Topology Design Method with Self-Adaptive Layered Materials , 1993 .

[18]  Ole Sigmund,et al.  Topology Optimization Using Iterative Continuum-Type Optimality Criteria (COC) Methods for Discretized Systems , 1993 .

[19]  Noboru Kikuchi,et al.  Topology and Generalized Layout Optimization of Elastic Structures , 1993 .

[20]  H. C. Rodrigues,et al.  Topology Optimization of Linear Elastic Structures Subjected to Thermal Loads , 1993 .

[21]  Gilles A. Francfort,et al.  A Numerical Algorithm for Topology and Shape Optimization , 1993 .

[22]  Chandrashekhar Suresh Jog Variable-topology shape optimization of linear elastic structures , 1994 .

[23]  C. S. Jog,et al.  Topology design with optimized, self‐adaptive materials , 1994 .

[24]  Robert B. Haber,et al.  Variable-topology shape optimization with a control on perimeter , 1994 .