Pacific Northwest Numerical Analysis Seminar

Abstracts

This talk presents examples of reduced-order models for problems with parameter sweeps. First, frequency sweep problems for acoustic and structural acoustic applications are discussed. An interpolatory reduced-order model is built where the number of interpolation points and the number of matched frequency derivatives are adaptively selected. Second, a reduced-order model for coherent transport in nano-structures efficiently calculates the Green’s functions connecting the contacts to all the device grid points by sampling only a small subset of spatial grid points on the lead and a small subset of energy grid points. Finally, a reduced-order technique for the Navier-Stokes equation is described. It accelerates simulations where the viscosity coefficient is swept over an interval of interest.