%0 Journal Article %1 herty2007adjoint %A Herty, Michael %A Sachers, Veronika %D 2007 %J Netw. Heterog. Media %K from:mhartmann ians imported vorlaeufig %N 4 %P 733--750 %R 10.3934/nhm.2007.2.733 %T Adjoint calculus for optimization of gas networks %U http://dx.doi.org/10.3934/nhm.2007.2.733 %V 2 %X We consider an optimization problem arising in the context of gas transport in pipe networks. To compensate for the pressure loss due to friction and to guarantee a desired (time dependent) outflow profile, compressor stations are included in the network. These compressor stations are relatively cost-intensive, and so a cost effective control is required. In the model presented the compressors are special vertices of the network. We derive an adjoint calculus for gas networks to solve the optimization problem and prove well-posedness of forward and adjoint coupling conditions. Furthermore, numerical examples illustrate the results obtained.

@article{herty2007adjoint, abstract = {We consider an optimization problem arising in the context of gas transport in pipe networks. To compensate for the pressure loss due to friction and to guarantee a desired (time dependent) outflow profile, compressor stations are included in the network. These compressor stations are relatively cost-intensive, and so a cost effective control is required. In the model presented the compressors are special vertices of the network. We derive an adjoint calculus for gas networks to solve the optimization problem and prove well-posedness of forward and adjoint coupling conditions. Furthermore, numerical examples illustrate the results obtained.}, added-at = {2018-07-20T10:54:29.000+0200}, author = {Herty, Michael and Sachers, Veronika}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2fdb9adb34632d68850a3bfa5eb33b9df/mathematik}, doi = {10.3934/nhm.2007.2.733}, fjournal = {Networks and Heterogeneous Media}, interhash = {a89b29f05b87e798840482ba81b7fb2e}, intrahash = {fdb9adb34632d68850a3bfa5eb33b9df}, issn = {1556-1801}, journal = {Netw. Heterog. Media}, keywords = {from:mhartmann ians imported vorlaeufig}, mrclass = {76N25 (35L60)}, mrnumber = {2357766 (2008k:76106)}, number = 4, owner = {schleper}, pages = {733--750}, timestamp = {2019-12-18T14:37:55.000+0100}, title = {Adjoint calculus for optimization of gas networks}, url = {http://dx.doi.org/10.3934/nhm.2007.2.733}, volume = 2, year = 2007 }