Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method

We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states are the solutions of the nonlocal and local equations, the objective is to minimize their mismatch on the overlap of the l...

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Bibliographic Details
Main Authors: Marta D’Elia, Pavel Bochev
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S259003742030039X