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Modeling, Simulation and Applications
This paper focuses on the reduced basis method in the case of non-linear and non-affinely parametrized partial differential equations where affine decomposition is not obtained. In this context, Empirical Interpolation Method (EIM)  is commonly used to recover the affine decomposition necessary to deploy the Reduced Basis (RB) methodology. The build of each EIM approximation requires many finite element solves which increases significantly the computational cost hence making it inefficientdoi:10.1007/978-3-319-58786-8_2 fatcat:fhwtnqzkhvaqvcmjzcxypa4d3q