An iterative domain decomposition, spectral finite element method on non-conforming meshes suitable for high frequency Helmholtz problems

@article{Galagusz2019AnID,
  title={An iterative domain decomposition, spectral finite element method on non-conforming meshes suitable for high frequency Helmholtz problems},
  author={Ryan Galagusz and S. McFee},
  journal={J. Comput. Phys.},
  year={2019},
  volume={379},
  pages={132-172}
}
  • Ryan Galagusz, S. McFee
  • Published 2019
  • Computer Science, Physics, Mathematics
  • J. Comput. Phys.
  • Abstract The purpose of this research is to describe an efficient iterative method suitable for obtaining high accuracy solutions to high frequency time-harmonic scattering problems. The method allows for both refinement of local polynomial degree and non-conforming mesh refinement, including multiple hanging nodes per edge. Rather than globally assemble the finite element system, we describe an iterative domain decomposition method which can use element-wise fast solvers for elements of large… CONTINUE READING
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