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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.13744 |
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| _version_ | 1866916217043812352 |
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| author | Jiang, Shuai Glusa, Christian |
| author_facet | Jiang, Shuai Glusa, Christian |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13744 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Splice Method for Local-to-Nonlocal Coupling of Weak Forms Jiang, Shuai Glusa, Christian Numerical Analysis 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. |
| title | A Splice Method for Local-to-Nonlocal Coupling of Weak Forms |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2404.13744 |