Optimization with Partial Differential Equations
نویسندگان
چکیده
We investigate topology optimization based on the SIMP method on CUDA enabled video cards in three dimensions. Using finite elements, linear elasticity is solved by a matrix-free conjugate gradient method entirely on the GPU. Due to the unique requirements of the SIMD stream processors, special attention is given to procedural generation of matrix vector products entirely on the graphics card. The GPU code is found to be extremely efficient, solving problems of 4.65 ·107 unknowns on commodity hardware up to 58 times faster than the CPU. The sources are availiable at http://www.mathematik.uni-trier.de/~schmidt/gputop.
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