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.

翻译：我们研究的是Schwarz型的自然交替法(Domain分解法),用于当地和非当地运营商之间某些类型的联结。 我们证明我们的方法符合狮子的框架,并因此证明连续和离散环境的趋同。