Abstract
The proper orthogonal decomposition (POD) is a method to derive reduced-order models for dynamical systems. In this paper POD is utilized to solve a nonlinear boundary control problem for the heat equation. The relative simplicity of the equation allows comparison of the POD based algorithm with numerical results obtained from finite element discretization of the optimality system.
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Diwoky, F., Volkwein, S. (2001). Nonlinear Boundary Control for the Heat Equation Utilizing Proper Orthogonal Decomposition. In: Hoffmann, KH., Hoppe, R.H.W., Schulz, V. (eds) Fast Solution of Discretized Optimization Problems. ISNM International Series of Numerical Mathematics, vol 138. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8233-0_6
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DOI: https://doi.org/10.1007/978-3-0348-8233-0_6
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