• Corpus ID: 238634127

Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems

@article{Domnguez2021BoundaryIE,
  title={Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems},
  author={V{\'i}ctor Dom{\'i}nguez and Catalin Turc},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.05835}
}
We introduce and analyze various Regularized Combined Field Integral Equations (CFIER) formulations of time-harmonic Navier equations in media with piece-wise constant material properties. These formulations can be derived systematically starting from suitable coercive approximations of Dirichlet-to-Neumann operators (DtN), and we present a periodic pseudodifferential calculus framework within which the well posedness of CIER formulations can be established. We also use the DtN approximations… 

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