An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem
<|reference_start|>An arbitrary order Reconstructed Discontinuous Approximation to Fourth-order Curl Problem: We present an arbitrary order discontinuous Galerkin finite element method for solving the fourth-order curl problem using a reconstructed discontinuous approximation method. It is based on an arbitrarily high-order approximation space with one unknown per element in each dimension. The discrete problem is based on the symmetric IPDG method. We prove a priori error estimates under the energy norm and the L^2 norm and show numerical results to verify the theoretical analysis.<|reference_end|>
@article{li2024an,
    title={An arbitrary order Reconstructed Discontinuous Approximation to
  Fourth-order Curl Problem},
    author={Ruo Li, Qicheng Liu, Shuhai Zhao},
    journal={arXiv preprint arXiv:2406.05624},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.05624},
    primaryClass={math.NA cs.NA}
}