Closed form optimized transmission conditions for complex diffusion with many subdomains

@article{Dolean2022ClosedFO,
  title={Closed form optimized transmission conditions for complex diffusion with many subdomains},
  author={Victorita Dolean and Martin J. Gander and Alexandros Kyriakis},
  journal={ArXiv},
  year={2022},
  volume={abs/2204.09754}
}
. Optimized transmission conditions in domain decomposition methods have been the focus of intensive research efforts over the past decade. Traditionally, transmission conditions are optimized for two subdomain model configurations, and then used in practice for many subdomains. We optimize here transmission conditions for the first time directly for many subdomains for a class of complex diffusion problems. Our asymptotic analysis leads to closed form optimized transmission conditions for many… 

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