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Bibliographic Details
Main Authors: Jiang, Shuai, Glusa, Christian
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.13744
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Table of Contents:
  • 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.