Locally different models in a checkerboard pattern with mesh adaptation and error control for multiple quantities of interest
<|reference_start|>Locally different models in a checkerboard pattern with mesh adaptation and error control for multiple quantities of interest: In this work, we apply multi-goal oriented error estimation to the finite element method. In particular, we use the dual weighted residual method and apply it to a model problem. This model problem consist of locally different coercive partial differential equations in a checkerboard pattern, where the solution is continuous across the interface. In addition to the error estimation, the error can be localized using a partition of unity technique. The resulting adaptive algorithm is substantiated with a numerical example.<|reference_end|>
@article{endtmayer2024locally,
    title={Locally different models in a checkerboard pattern with mesh adaptation
  and error control for multiple quantities of interest},
    author={Bernhard Endtmayer},
    journal={arXiv preprint arXiv:2405.18567},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.18567},
    primaryClass={math.NA cs.NA}
}