HDG-POD Reduced Order Model of the Heat Equation
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equationheatmodelorderanalysisboundsconsiderconverge
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We propose a new hybridizable discontinuous Galerkin (HDG) model order reduction technique based on proper orthogonal decomposition (POD). We consider the heat equation as a test problem and prove error bounds that converge to zero as the number of POD modes increases. We present 2D and 3D numerical results to illustrate the convergence analysis.
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