Weighted-norm preconditioners for a multi-layer tide model

@article{Cotter2022WeightednormPF,
  title={Weighted-norm preconditioners for a multi-layer tide model},
  author={Colin J. Cotter and Robert C. Kirby and Hunter Morris},
  journal={ArXiv},
  year={2022},
  volume={abs/2207.02116}
}
. We derive a linearized rotating shallow water system modeling tides, which can be discretized by mixed finite elements. Unlike previous models, this model allows for multiple layers stratified by density. Like the single-layer case [20] a weighted-norm preconditioner gives a (nearly) parameter-robust method for solving the resulting linear system at each time step, but the all-to-all coupling between the layers in the model poses a significant challenge to efficiency. Neglecting the inter-layer… 

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