Accelerated solutions of convection‐dominated partial differential equations using implicit feature tracking and empirical quadrature
Marzieh Alireza Mirhoseini,
Matthew J. Zahr
Abstract:SummaryThis work introduces an empirical quadrature‐based hyperreduction procedure and greedy training algorithm to effectively reduce the computational cost of solving convection‐dominated problems with limited training. The proposed approach circumvents the slowly decaying ‐width limitation of linear model reduction techniques applied to convection‐dominated problems by using a nonlinear approximation manifold systematically defined by composing a low‐dimensional affine space with bijections of the underlyin… Show more
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