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• W4311762470 startingPage "115709" @default.
• W4311762470 abstract "The metriplectic formalism is useful for describing complete dynamical systems which conserve energy and produce entropy. This creates challenges for model reduction, as the elimination of high-frequency information will generally not preserve the metriplectic structure which governs long-term stability of the system. Based on proper orthogonal decomposition, a provably convergent metriplectic reduced-order model is formulated which is guaranteed to maintain the algebraic structure necessary for energy conservation and entropy formation. Numerical results on benchmark problems show that the proposed method is remarkably stable, leading to improved accuracy over long time scales at a moderate increase in cost over naive methods." @default.
• W4311762470 created "2022-12-28" @default.
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• W4311762470 date "2023-02-01" @default.
• W4311762470 modified "2023-10-13" @default.
• W4311762470 title "Energetically consistent model reduction for metriplectic systems" @default.
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• W4311762470 doi "https://doi.org/10.1016/j.cma.2022.115709" @default.
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