Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems
Martin Kahlbacher, Stefan Volkwein (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Proper orthogonal decomposition (POD) is a powerful technique for model reduction of linear and non-linear systems. It is based on a Galerkin type discretization with basis elements created from the system itself. In this work, error estimates for Galerkin POD methods for linear elliptic, parameter-dependent systems are proved. The resulting error bounds depend on the number of POD basis functions and on the parameter grid that is used to generate the snapshots and to compute the POD...