Hyper-reduction methods for accelerating nonlinear finite element simulations: open source implementation and reproducible benchmarks
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Mathematics and Computing↗
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Vales, Chris
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Energy conserving quadrature based dimensionality reduction for nonlinear hydrodynamics problems
Projection based dimensionality reduction is used to approximate the full discretiza tion of a PDE problem in order to reduce the cost of its numerical simulation while staying faithful to the full dynamics. For nonlinear problems, hyperreduction methods are additionally needed to remove the dependence of the nonlinear terms on the full problem’s size. In this project, we develop an energy conserving hyperreduction method and apply it to Eulerian-Lagrangian hydrodynamics problems, demonstrating that the reduced model successfully accelerates the numerical simulations while conserving the problem’s total energy with high accuracy.
97 MATHEMATICS AND COMPUTING↗