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Plane wave approximation in linear elasticity

Volume: 92, Issue: 6, Pages: 1299 - 1307
Published: Jun 1, 2013
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. The obtained estimates can be used in the h- and...
Paper Details
Title
Plane wave approximation in linear elasticity
Published Date
Jun 1, 2013
Volume
92
Issue
6
Pages
1299 - 1307
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