Proper orthogonal decomposition for reduced order modeling: 2D heat flow

buir.contributor.authorÖzbay, Hitay
dc.contributor.authorEfe, M. Ö.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.coverage.spatialIstanbul, Turkey
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 25-25 June 2003
dc.descriptionConference name: Proceedings of 2003 IEEE Conference on Control Applications, CCA 2003
dc.description.abstractModeling issues of infinite dimensional systems is studied in this paper. Although the modeling problem has been solved to some extent, use of decomposition techniques still pose several difficulties. A prime one of this is the amount of data to be processed. Method of snapshots integrated with POD is a remedy. The second difficulty is the fact that the decomposition followed by a projection yields an autonomous set of finite dimensional ODEs that is not useful for developing a concise understanding of the input operator of the system. A numerical approach to handle this issue is presented in this paper. As the example, we study 2D heat flow problem. The results obtained confirm the theoretical claims of the paper and emphasize that the technique presented here is not only applicable to infinite dimensional linear systems but also to nonlinear ones.en_US
dc.source.titleProceedings of 2003 IEEE Conference on Control Applications, CCA 2003en_US
dc.subjectBoundary conditionsen_US
dc.subjectHeat transferen_US
dc.subjectMathematical modelsen_US
dc.subjectMathematical operatorsen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectTwo dimensionalen_US
dc.subjectFinite dimensional ordinary differential equationsen_US
dc.subjectHeat flowen_US
dc.subjectProper orthogonal decompositionen_US
dc.subjectReduced order modelingen_US
dc.subjectControl system synthesisen_US
dc.titleProper orthogonal decomposition for reduced order modeling: 2D heat flowen_US
dc.typeConference Paperen_US
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