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Nonoverlapping Domain Decomposition for Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network

Submission Status:under review
  • We consider a non-overlapping domain decomposition method for an optimal control problem related to the flow of gas in a pipe network. The equations of motions are taken to be represented by a friction dominated model derived from a semi-linear approximation of the fully nonlinear isothermal Euler gas equations. This involves a p-Laplace-type problem on the graph with p = 3/2. We continue the work by Leugering and Mophou where such a problem has been discussed in the context of an instantaneous control strategy. We provide a non-overlapping domain decomposition in the spirit of P.L. Lions for elliptic problems and extend the method to the first order optimality system.

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Metadaten
Author:Günter Leugering
Document Type:Preprint
Language:English
Date of Publication (online):2022/01/12
Release Date:2022/01/12
Tag:Domain decomposition; Gas networks; Optimal control; Optimality system; p-Laplace problem on a graph
Page Number:15
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Subprojects:A05
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International