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.
@article{arxiv.2404.13744,
title = {A Splice Method for Local-to-Nonlocal Coupling of Weak Forms},
author = {Shuai Jiang and Christian Glusa},
journal= {arXiv preprint arXiv:2404.13744},
year = {2024}
}