Serendipity discrete complexes with enhanced regularity
<|reference_start|>Serendipity discrete complexes with enhanced regularity: In this work we address the problem of finding serendipity versions of approximate de Rham complexes with enhanced regularity. The starting point is a new abstract construction of general scope which, given three complexes linked by extension and reduction maps, generates a fourth complex with cohomology isomorphic to the former three. This construction is used to devise new serendipity versions of rot-rot and Stokes complexes derived in the Discrete de Rham spirit.<|reference_end|>
@article{di pietro2024serendipity,
    title={Serendipity discrete complexes with enhanced regularity},
    author={Daniele Di Pietro, Marien Hanot, Marwa Salah},
    journal={arXiv preprint arXiv:2407.12625},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.12625},
    primaryClass={math.NA cs.NA}
}