Leugering G (2025)
Publication Type: Book chapter / Article in edited volumes
Publication year: 2025
Publisher: Springer-Verlag Italia s.r.l.
Series: Springer INdAM Series
Book Volume: 63
Pages Range: 176-196
DOI: 10.1007/978-981-96-6182-4_9
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=32. We continue the work [15] 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 the corresponding quasilinear elliptic problems and extend the method to the first order optimality system.
APA:
Leugering, G. (2025). Nonoverlapping Domain Decomposition for Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network. In (pp. 176-196). Springer-Verlag Italia s.r.l..
MLA:
Leugering, Günter. "Nonoverlapping Domain Decomposition for Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network." Springer-Verlag Italia s.r.l., 2025. 176-196.
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