Mixed finite element methods for elliptic obstacle problems
<|reference_start|>Mixed finite element methods for elliptic obstacle problems: Mixed variational formulations for the first-order system of the elastic membrane obstacle problem and the second-order system of the Kirchhoff--Love plate obstacle problem are proposed. The force exerted by the rigid obstacle is included as a new unknown. A priori and a posteriori error estimates are derived for both obstacle problems. The a posteriori error estimates are based on conforming postprocessed solutions. Numerical experiments conclude this work.<|reference_end|>
@article{führer2024mixed,
    title={Mixed finite element methods for elliptic obstacle problems},
    author={Thomas F"uhrer and Francisco Fuica},
    journal={arXiv preprint arXiv:2406.09605},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.09605},
    primaryClass={math.NA cs.NA}
}