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

10/24/2019
by   Marta D'Elia, et al.
0

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 local and nonlocal problem domains, and the virtual controls are the nonlocal volume constraint and the local boundary condition. We present the method in the context of Local-to-Nonlocal diffusion coupling. Numerical examples illustrate the theoretical properties of the approach.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/09/2021

An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions

We develop and analyze an optimization-based method for the coupling of ...
research
03/04/2022

Coupling approaches for classical linear elasticity and bond-based peridynamic models

Local-nonlocal coupling approaches provide a means to combine the comput...
research
04/07/2020

FEM-BEM mortar coupling for the Helmholtz problem in three dimensions

We present a FEM-BEM coupling strategy for time-harmonic acoustic scatte...
research
12/12/2019

Variational Coupling Revisited: Simpler Models, Theoretical Connections, and Novel Applications

Variational models with coupling terms are becoming increasingly popular...
research
11/23/2022

Asynchronous global-local non-invasive coupling for linear elliptic problems

This paper presents the first asynchronous version of the Global/Local n...
research
03/02/2021

Data-driven computation methods for quasi-stationary distribution and sensitivity analysis

This paper studies computational methods for quasi-stationary distributi...

Please sign up or login with your details

Forgot password? Click here to reset