We propose a data-driven model order reduction (MOR) technique for partial differential equations that exhibit parameter-dependentjump-discontinuities . We build upon themethodology of approximating the map between the parameter domain and theexpansion coefficients of the reduced basis via regression . The online stagequeries the regression model for the expansion coefficients and recovers areduced approximation for the solution . We propose to apply this technique to atransformed solution that results from composing the solution with a spatialtransform . Unlike the (untransformed) solution, it is sufficiently regularalong the parameter domains and thus, is well-approximable in a low-dimensionallinear space . Our method features a decoupled

Author(s) : Neeraj Sarna, Peter Benner

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Keywords : solution - parameter - model - technique - propose -

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