A Splice Method for Local-to-Nonlocal Coupling of Weak Forms

2024/04/21 by Jiang, Shuai, Glusa, Christian · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2404.13744

Abstract

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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• Coupling of Local and Nonlocal Problems Using Local Boundary Conditions

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