A domain decomposition scheme for couplings between local and nonlocal equations
Numerical Analysis
2022-12-13 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2212.06093,
title = {A domain decomposition scheme for couplings between local and nonlocal equations},
author = {Gabriel Acosta and Francisco M. Bersetche and Julio D. Rossi},
journal= {arXiv preprint arXiv:2212.06093},
year = {2022}
}