# Dirichlet-to-Neumann map for three-dimensional elastic waves

@article{Gchter2003DirichlettoNeumannMF, title={Dirichlet-to-Neumann map for three-dimensional elastic waves}, author={G{\"u}nter K. G{\"a}chter and M. Grote}, journal={Wave Motion}, year={2003}, volume={37}, pages={293-311} }

An exact nonreflecting boundary condition is derived for time-harmonic elastic waves in three space dimensions. This condition holds on a spherical surface, B, which separates the computational domain from the surrounding unbounded region. It establishes an exact relation between the displacement field and its normal and tangential tractions, and thus defines a Dirichlet-to-Neumann (DtN) map on B. Then a modified DtN condition (MDtN) is derived to remove the difficulties that arise when the… Expand

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