Convergent finite elements on arbitrary meshes, the WG method
<|reference_start|>Convergent finite elements on arbitrary meshes, the WG method: On meshes with the maximum angle condition violated, the   standard conforming, nonconforming, and discontinuous Galerkin finite elements   do not converge to the true solution when the mesh size goes to zero.   It is shown that one type of weak Galerkin finite element method converges   on triangular and tetrahedral meshes violating the maximum angle condition,   i.e., on arbitrary meshes.   Numerical tests confirm the theory.<|reference_end|>
@article{zhang2024convergent,
    title={Convergent finite elements on arbitrary meshes, the WG method},
    author={Ran Zhang and Shangyou Zhang},
    journal={arXiv preprint arXiv:2407.19382},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.19382},
    primaryClass={math.NA cs.NA}
}