Dimensional reduction of finite element analysis solution for rapid emulation

A computing device for analyzing a structure, comprising:

• memory storing at least one finite element model, each of the at least one finite element models including a plurality of nodes representing a structure;
• and
• a processor operatively connected to the memory and configured to:
• generate initial simulation results for the at least one finite element model, the initial simulation results simulating a response of the plurality of nodes to boundary conditions for a plurality of sets of input variable values, each set of input variable values representing a different geometry of the structure or a different set of boundary conditions;
• decompose the initial simulation results into a plurality of patterns wherein the plurality of patterns indicate correlations between values in the initial simulation results, and the plurality of patterns has a quantity that is less than the plurality of nodes;
• create a respective emulator for each of the plurality of patterns in a pattern set;
• and
• expand the initial simulation results by determining additional simulation results for the plurality of nodes using the emulators and additional sets of input variable values that differ from the initial sets of input variable values.