TY - INPR A1 - Leugering, Günter T1 - Nonoverlapping Domain Decomposition for Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network N2 - 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. KW - Optimal control KW - Gas networks KW - p-Laplace problem on a graph KW - Optimality system KW - Domain decomposition Y1 - 2022 UR - https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/482 ER -