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Plane wave approximation in linear elasticity

by A. Moiola

(Report number 2011-20)

Abstract
We consider the approximation of solutions of the time-harmonic linear elastic wave equation by linear combinations of plane waves. We prove algebraic orders of convergence both with respect to the dimension of the approximating space and to the diameter of the domain. The error is measured in Sobolev norms and the constants in the estimates explicitly depend on the problem wavenumber.

Keywords:

@Techreport{M11_141,
  author = {A. Moiola},
  title = {Plane wave approximation in linear elasticity},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2011-20},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2011/2011-20.pdf },
  year = {2011}
}

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