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Reduced basis method for finite volume approximations of parametrized linear evolution equations

Bernard Haasdonk, Mario Ohlberger (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

The model order reduction methodology of reduced basis (RB) techniques offers efficient treatment of parametrized partial differential equations (P2DEs) by providing both approximate solution procedures and efficient error estimates. RB-methods have so far mainly been applied to finite element schemes for elliptic and parabolic problems. In the current study we extend the methodology to general linear evolution schemes such as finite volume schemes for parabolic and hyperbolic evolution equations....

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