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DOE OSTI · 2472753

A splice method for local-to–nonlocal coupling of weak forms

Jiang, Shuai·Glusa, Christian
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Abstract

Here, 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.

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97 MATHEMATICS AND COMPUTINGCouplingLocal-to-nonlocalNonlocal equations

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Jiang, Shuai, Glusa, Christian. 2024-07-25. A splice method for local-to–nonlocal coupling of weak forms. https://doi.org/10.1016/j.cma.2024.117216

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