# 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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