jack-champagne / p4m-wave-equation

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wave-equation superscaler

This project is part of ongoing research between Professor Wei Zhu and myself exploring super-scaling techniques for computational difficult physics problems. The goal is to improve current discretization methods of approximating the wave equation over a plane. When the wave speed through the plane varies over space, the plane is referred to as non-homogenous media. Current techniques require breaking the plane into a fine mesh grid to approximate the non-linear components of the physics to get an accurate solution. The goal is that using the fine solver, a coarse solver can be used, and a machine learning technique (hypernets, group-equivariant neural nets, and a new technique (which is still being flushed out), to upscale to a much better solution that scales well in computational cost relative to accuracy.

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