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Nonreflecting Boundary Conditions for Elastodynamic Scattering

by M. J. Grote

(Report number 1999-19)

Abstract
An exact nonreflecting boundary condition was derived previously for time-dependent elastic waves in three space dimensions [1]. It is local in time, nonlocal on the artificial boundary, and involves only first derivatives of the displacement. Here it is shown how to combine that boundary condition with finite difference and finite element methods. Stability issues are discussed. Numerical examples demonstrate the high improvement in accuracy over standard methods.

Keywords: elastic waves, wave propagation, nonreflecting boundary conditions, absorbing boundary conditions, elasticity, scattering theory

@Techreport{G99_253,
  author = {M. J. Grote},
  title = {Nonreflecting Boundary Conditions for Elastodynamic Scattering},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1999-19},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1999/1999-19.pdf },
  year = {1999}
}

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