A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem

@article{Bcache2002ANF,
  title={A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem},
  author={{\'E}liane B{\'e}cache and Patrick Joly and Chrysoula Tsogka},
  journal={SIAM J. Numer. Anal.},
  year={2002},
  volume={39},
  pages={2109-2132}
}
We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements. 
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