A 2589 line topology optimization code written for the graphics card. We investigate topology optimization based on the solid isotropic material with penalization approach on compute unified device architecture enabled graphics cards in three dimensions. Linear elasticity is solved entirely on the GPU by a matrix-free conjugate gradient method using finite elements. Due to the unique requirements of the single instruction, multiple data stream processors, special attention is given to the procedural generation of matrix-vector products entirely on the graphics card. The GPU code is found to be extremely efficient, being faster than a 48 core shared memory CPU system. CPU and GPU implementations show different performance bottlenecks. The sources are available at url{ schmidt/gputop}.

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  1. Li, Hang; Li, Hao; Gao, Liang; Li, Jiajing; Li, Peigen; Yang, Yuan: Topology optimization of arbitrary-shape multi-phase structure with structured meshes based on a virtual phase method (2021)
  2. Li, Yixin; Zhou, Bangjian; Hu, Xianliang: A two-grid method for level-set based topology optimization with GPU-acceleration (2021)
  3. Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P.: Topology optimization of thermal fluid-structure systems using body-fitted meshes and parallel computing (2020)
  4. Quoc Khanh Nguyen; Serra-Capizzano, Stefano; Wadbro, Eddie: On using a zero lower bound on the physical density in material distribution topology optimization (2020)
  5. Kočvara, Michal; Mohammed, Sudaba: Primal-dual interior point multigrid method for topology optimization (2016)
  6. Martínez-Frutos, Jesús; Herrero-Pérez, David: Large-scale robust topology optimization using multi-GPU systems (2016)
  7. Ramírez-Gil, Francisco Javier; Nelli Silva, Emilío Carlos; Montealegre-Rubio, Wilfredo: Topology optimization design of 3D electrothermomechanical actuators by using GPU as a co-processor (2016)
  8. Schmidt, Stephan; Wadbro, Eddie; Berggren, Martin: Large-scale three-dimensional acoustic Horn optimization (2016)
  9. Aage, Niels; Lazarov, Boyan S.: Parallel framework for topology optimization using the method of moving asymptotes (2013)
  10. Schmidt, Stephan; Schulz, Volker: A 2589 line topology optimization code written for the graphics card (2011)