Large-scale topology optimization in 3D using parallel computing

[1]  N. Olhoff,et al.  Topology optimization of three-dimensional structures using optimum microstructures , 1998 .

[2]  M. Bendsøe,et al.  Material interpolation schemes in topology optimization , 1999 .

[3]  A. Diaz,et al.  Single scale wavelet approximations in layout optimization , 1999 .

[4]  C. S. Jog,et al.  A new approach to variable-topology shape design using a constraint on perimeter , 1996 .

[5]  J. Petersson,et al.  Slope constrained topology optimization , 1998 .

[6]  William Gropp,et al.  Skjellum using mpi: portable parallel programming with the message-passing interface , 1994 .

[7]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[8]  George Karypis,et al.  Introduction to Parallel Computing , 1994 .

[9]  B. Bourdin.  Filters in topology optimization , 2001 .

[10]  J. Petersson,et al.  Topology optimization using regularized intermediate density control , 2001 .

[11]  J. Pasciak,et al.  A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems , 1988 .

[12]  T. E. Bruns,et al.  Topology optimization of non-linear elastic structures and compliant mechanisms , 2001 .

[13]  Claude Fleury,et al.  CONLIN: An efficient dual optimizer based on convex approximation concepts , 1989 .

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

[15]  Vipin Kumar,et al.  Isoefficiency: measuring the scalability of parallel algorithms and architectures , 1993, IEEE Parallel & Distributed Technology: Systems & Applications.

[16]  Sverker Holmgren,et al.  Convergence Acceleration for the Linearized Navier-Stokes Equations using Semicirculant Approximations , 1999, SIAM J. Sci. Comput..

[17]  Per Lötstedt,et al.  Parallel single grid and multigrid solution of industrial compressible flow problems , 1997 .

[18]  D. Kinderlehrer,et al.  An introduction to variational inequalities and their applications , 1980 .

[19]  Ole Sigmund,et al.  On the Design of Compliant Mechanisms Using Topology Optimization , 1997 .

[20]  Gene H. Golub,et al.  Matrix computations , 1983 .

[21]  J. Petersson,et al.  On continuity of the design-to-state mappings for trusses with variable topology , 2001 .

[22]  J. Petersson,et al.  A Finite Element Analysis of Optimal Variable Thickness Sheets , 1999 .

[23]  M. Beckers,et al.  Topology optimization using a dual method with discrete variables , 1999 .

[24]  J. Petersson,et al.  Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .

[25]  H. Rodrigues,et al.  Topology optimization of three-dimensional linear elastic structures with a constraint on “perimeter” , 1999 .

[26]  Anthony Skjellum,et al.  Using MPI - portable parallel programming with the message-parsing interface , 1994 .

[27]  Richard Barrett,et al.  Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.

[28]  C. Fleury,et al.  A New Separable Approximation Scheme for Topological Problems and Optimization Problems Characterized by a Large Number of Design Variables , 1995 .

[29]  R. Lipton,et al.  Optimal material layout for 3D elastic structures , 1997 .