A Domain Decomposition Scheme for Couplings Between Local and Nonlocal Equations
Gabriel Acosta, Francisco M. Bersetche, Julio Daniel Rossi · Computational Methods in Applied Mathematics · 2023
Abstract We study a natural alternating method of Schwarz type (domain decomposition) for a certain class of couplings between local and nonlocal operators. We show that our method fits into Lions’s framework and prove, as a consequence, convergence in both the continuous and the discrete settings.