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Mixed finite elements and mass lumping for linear elastodynamics. I: Construction. (Éléments finis mixtes et condensation de masse en élastodynamique linéaire. I: Construction.) (French. Abridged English version) Zbl 0895.73064
Summary: We introduce a new family of mixed finite elements for linear elastodynamic problems. We present the construction of the lowest order element in the two-dimensional case together with the dispersion analysis for an isotropic homogeneous medium. This construction can be extended to higher orders as well as to the three-dimensional case.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74B05 Classical linear elasticity
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