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arXiv · 2212.06093

A domain decomposition scheme for couplings between local and nonlocal equations

Gabriel Acosta·Francisco M. Bersetche·Julio D. Rossi
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Abstract

We study a natural alternating method of Schwarz type (domain decomposition) for certain class of couplings between local and nonlocal operators. We show that our method fits into Lion's framework and prove, as a consequence, convergence in both, the continuous and the discrete settings.

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Gabriel Acosta, Francisco M. Bersetche, Julio D. Rossi. 2022-12-12. A domain decomposition scheme for couplings between local and nonlocal equations. https://arxiv.org/abs/2212.06093

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