MATHICSE-GroupPacciarini, PaoloGervasio, PaolaQuarteroni, Alfio2019-10-012019-10-012019-10-012016-02-1910.5075/epfl-MATHICSE-271023https://infoscience.epfl.ch/handle/20.500.14299/161760In this work we extend to the Stokes problem the Discontinuous Galerkin Reduced Basis Element (DGRBE) method introduced in [1]. By this method we aim at reducing the computational cost for the approximation of a parametrized Stokes problem on a domain partitioned into subdomains. During an offline stage, expensive but performed only once, a low-dimensional approximation space is built on each subdomain. For any new value of the parameter, the rapid evaluation of the solution takes place during the online stage and consists in a Galerkin projection onto the low-dimensional subspaces computed offline. The high-fidelity discretization on each subdomain, used to build the local low-dimensional subspaces, is based on spectral element methods. The continuity of both the velocity and the normal component of the Cauchy stress tensor at subdomain interfaces is weakly enforced by a discontinuous Galerkin approach.Reduced Basis Element methodDiscontinuous GalerkinDomain decompositionSpectral element methodsParametrized PDEStokes equationstext::working paper