Structural optimization using sensitivity analysis and a level-set method
Journal of Computational Physics
Parallel Banding Algorithm to compute exact distance transform with the GPU
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
Technical Note: Multiobjective topology optimization for finite periodic structures
Computers and Structures
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We present a Graphics Processing Unit (GPU) implementation of the level set method for topology optimization. The solution of three-dimensional topology optimization problems with millions of elements becomes computationally tractable with this GPU implementation and NVIDIA supercomputer-grade GPUs. We demonstrate this by solving the inverse homogenization problem for the design of isotropic materials with maximized bulk modulus. We trace the maximum bulk modulus optimization results to very high porosities to demonstrate the detail achievable with a high computational resolution. By utilizing a parallel GPU implementation rather than a sequential CPU implementation, similar increases in tractable computational resolution would be expected for other topology optimization problems.