# 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. We consider the problem of a marine ice sheet with a grounding line, although the analysis presented here is extendable in a straightforward manner to other contact problems in glaciology, such as that of subglacial cavitation. The analysis of this problem and its discretisation is complicated by the nonlinear rheology commonly used for modelling ice, the enforcement of a friction boundary…

## One Citation

### Numerical approximation of viscous contact problems applied to glacial sliding

- MathematicsJournal of Fluid Mechanics
- 2022

This work proposes a novel numerical method based on a mixed formulation with Lagrange multipliers of a variational inequality involving the Stokes equation for solving viscous contact problems and uses this numerical scheme to reconstruct friction laws for glacial sliding with cavitation.

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