Abstract
In structural engineering problems, the resulting partial differential equations (PDEs) are often solved using the finite element method (FEM). The number of degrees of freedom (DOF) and hence the computational time increases depending upon the complexity of the problem (linear/nonlinear) and discretization of space and time. The proper orthogonal decomposition (POD) yields a valuable set of vector bases which can be used in model order reduction (MOR) techniques to reduce the computational time. However, for nonlinear problems the trade-off with respect to accuracy to gain speedup is still high. In this context, we present an adaptive method to choose snapshots, which leads to a POD technique with either increased accuracy or increased speed-up for a fixed accuracy compared to the classical POD.
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