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Least-squares for linear elasticity eigenvalue problem (2003.00449v2)
Published 1 Mar 2020 in math.NA and cs.NA
Abstract: We study the approximation of the spectrum of least-squares operators arising from linear elasticity. We consider a two-field (stress/displacement) and a three-field (stress/displacement/vorticity) formulation; other formulations might be analyzed with similar techniques. We prove a priori estimates and we confirm the theoretical results with simple two-dimensional numerical experiments.