Finite floating-point numerical simulation and optimization
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United States of America Patent
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Dec 12, 2023
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May 28, 2020
filing date -
May 28, 2020
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Abstract
Methods, systems, and apparatus, including computer programs encoded on computer storage media, for correcting finite floating-point numerical simulation and optimization. Defining a loss function within a simulation space composed of a plurality of voxels each having an initial degree of freedom, the simulation space encompassing one or more interfaces of the component; defining an initial structure for the one or more interfaces in the simulation space; calculating, using a computer system with a finite floating-point precision, values for an electromagnetic field at each voxel using a finite-difference time domain solver to solve Maxwell's equations; and determining, for each voxel, whether to increase a respective numerical precision of respective values representing behavior of the electromagnetic field at the voxel above a threshold precision by the computer system and, in response, assigning one or more additional degrees of freedom to the voxel.
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