Corpus ID: 236772305

On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology

@article{Diego2021OnTF,
  title={On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology},
  author={G. G. de Diego and Patrick E. Farrell and Ian J. Hewitt},
  journal={ArXiv},
  year={2021},
  volume={abs/2108.00046}
}
Stokes variational inequalities arise in the formulation of glaciological problems involving contact. Two important examples of such problems are that of the grounding line of a marine ice sheet and the evolution of a subglacial cavity. In general, rigid modes are present in the velocity space, rendering the variational inequality semicoercive. In this work, we consider a mixed formulation of this variational inequality involving a Lagrange multiplier and provide an analysis of its finite… 

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