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As we can see in @laplacian-strong-scaling-3 the performance is initially poor but starts to improve as we increase the size of the problem. Initially the problem is too small to be able to take advantage of the parallelism and the communication overhead is too high. +First we tried to run the program starting from a problem size of $N = 20$ and increasing the problem size by doubling each time. As we can see in @laplacian-strong-scaling-3 the performance is initially poor but starts to improve as we increase the size of the problem. Initially the problem is too small to be able to take advantage of the parallelism and the communication overhead is too high. #figure( image("plots/cropped/laplacian-strong-scaling-3.png", width: 75%),