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Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach Read chapter Read first chapter

2018 | OriginalPaper | Chapter

A Virtual Control Coupling Approach for Problems with Non-coincident Discrete Interfaces

Authors : Pavel Bochev, Paul Kuberry, Kara Peterson

Published in: Large-Scale Scientific Computing

Publisher: Springer International Publishing

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Abstract

Independent meshing of subdomains separated by an interface can lead to spatially non-coincident discrete interfaces. We present an optimization-based coupling method for such problems, which does not require a common mesh refinement of the interface, has optimal \(H^1\) convergence rates, and passes a patch test. The method minimizes the mismatch of the state and normal stress extensions on discrete interfaces subject to the subdomain equations, while interface “fluxes” provide virtual Neumann controls.

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previous chapter Stress-Velocity Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equations
next chapter Towards a Scalable Multifidelity Simulation Approach for Electrokinetic Problems at the Mesoscale
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Metadata
Title
A Virtual Control Coupling Approach for Problems with Non-coincident Discrete Interfaces
Authors
Pavel Bochev
Paul Kuberry
Kara Peterson
Copyright Year
2018
Book
Large-Scale Scientific Computing

Print ISBN: 978-3-319-73440-8

Electronic ISBN: 978-3-319-73441-5

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-73441-5_15

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