A New Family of Mixed Finite Elements for Elasticity Dissertation zur Erlangung des akademischen Grades Doktorin der Technischen Wissenschaften

@inproceedings{Sinwel2009ANF,
  title={A New Family of Mixed Finite Elements for Elasticity Dissertation zur Erlangung des akademischen Grades Doktorin der Technischen Wissenschaften},
  author={Astrid Sinwel},
  year={2009}
}
In this thesis, we introduce a new finite element method to discretize the equations of elasticity. It is analyzed thoroughly both in the infinite-dimensional and in the discrete setting, where finite element schemes of arbitrary order are presented. As the main result of this work, we prove that the new method is locking-free with respect to volume and shear locking, i.e that it is applicable for both nearly incompressible materials and the discretization of the thin structures using flat… CONTINUE READING

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