A domain decomposition scheme for couplings between local and nonlocal equations

Published 12 Dec 2022 in math.NA and cs.NA | (2212.06093v1)

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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