论文标题

域分解方案,用于局部和非局部方程之间的耦合

A domain decomposition scheme for couplings between local and nonlocal equations

论文作者

Acosta, Gabriel, Bersetche, Francisco M., Rossi, Julio D.

论文摘要

我们研究了施瓦茨类型的天然交替方法(域分解),用于本地和非局部运算符之间某些类别的耦合。我们表明,我们的方法适合狮子的框架,因此证明了连续和离散设置的融合。

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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