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.

翻译：我们提出了一种耦合局部和非局部扩散模型的方法。通过继承相关拼接和基于优化的耦合方案中的良好特性，例如分片试验、渐近相容性和非侵入性，该方法能够使用弱（或变分）形式，计算效率高且易于实现。我们证明了该耦合方案的适定性，并通过多种数值算例展示了其特性与有效性。