Summary
We construct and analyze finite element methods for approximating the equations of linear elastodynamics, using mixed elements for the discretization of the spatial variables. We consider two different mixed formulations for the problem and analyze semidiscrete and up to fourth-order in time fully discrete approximations.L 2 optimal-order error estimates are proved for the approximations of displacement and stress.
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Work supported in part by the Hellenic State Scholarship Foundation
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Makridakis, C.G. On mixed finite element methods for linear elastodynamics. Numer. Math. 61, 235–260 (1992). https://doi.org/10.1007/BF01385506
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DOI: https://doi.org/10.1007/BF01385506