A two-level parameterized Model-Order Reduction approach for time-domain elastodynamics

We present a two-level parameterized Model Order Reduction (pMOR) technique for the linear hyperbolic Partial Differential Equation (PDE) of time-domain elastodynamics. In order to approximate frequency-domain PDE, we take advantage Port-Reduced Reduced-Basis Component (PR-RBC) method develop (in offline stage) reduced bases subdomains; latter are then assembled online form global domains interest. The PR-RBC approach reduces effective dimensionality parameter space and also provides flexibility in topology geometry. stage, each query, consider given value associated domain. first level reduction, used solution at selected frequencies. second these instantiated approximations as surrogate truth solutions Strong Greedy identify basis space; PDE elastodynamics is projected on this space. provide numerical example demonstrate computational capability assess performance proposed approach.