Plane wave approximation in linear elasticityMoiola, A. (2013) Plane wave approximation in linear elasticity. Applicable Analysis, 92 (6). pp. 1299-1307. ISSN 0003-6811
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1080/00036811.2012.671300 Abstract/SummaryWe 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 p-convergence analysis of wave-based finite element schemes.
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