Finite Element Discretization of the ‘ Parabolic ’ Equation in an Underwater Variable Bottom Environment

@inproceedings{Antonopoulou2002FiniteED,
  title={Finite Element Discretization of the ‘ Parabolic ’ Equation in an Underwater Variable Bottom Environment},
  author={D. C. Antonopoulou and V. A. Dougalis and Georgios E. Zouraris},
  year={2002}
}
The standard ‘parabolic’ approximation to the Helmholtz equation is used in order to model long-range propagation of sound in the sea in the presence of cylindrical symmetry in a domain with a rigid bottom of variable topography. The rigid bottom is modeled by a homogeneous Neumann condition and a paraxial approximation thereof proposed by Abrahamsson and Kreiss. The resulting initial-boundary-value problems are transformed, by a change of variables, to equivalent ones in a horizontal strip and… CONTINUE READING
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