A Splice Method for Local-to-Nonlocal Coupling of Weak Forms
<|reference_start|>A Splice Method for Local-to-Nonlocal Coupling of Weak Forms: We propose a method to couple local and nonlocal diffusion models. By inheriting desirable properties such as patch tests, asymptotic compatibility and unintrusiveness from related splice and optimization-based coupling schemes, it enables the use of weak (or variational) formulations, is computationally efficient and straightforward to implement. We prove well-posedness of the coupling scheme and demonstrate its properties and effectiveness in a variety of numerical examples.<|reference_end|>
@article{jiang2024a,
    title={A Splice Method for Local-to-Nonlocal Coupling of Weak Forms},
    author={Shuai Jiang, Christian Glusa},
    journal={arXiv preprint arXiv:2404.13744},
    year={2024},
    number={SAND2024-04697O},
    archivePrefix={arXiv},
    eprint={2404.13744},
    primaryClass={math.NA cs.NA}
}