36 citations · 65 across the 3 of their papers we have counts for
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math.NA2023★ 2 cited
High-order implicit shock tracking boundary conditions for flows with parametrized shocks
Tianci Huang, Charles Naudet, Matthew J. Zahr
High-order implicit shock tracking (fitting) is a class of high-order, optimization-based numerical methods to approximate solutions of conservation laws with non-smooth features b…
math.NA2021★ 36 cited
A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows
Tianci Huang, Matthew J. Zahr
High-order implicit shock tracking is a new class of numerical methods to approximate solutions of conservation laws with non-smooth features. These methods align elements of the c…
math.NA2020★ 27 cited
A globally convergent method to accelerate topology optimization using on-the-fly model reduction
Masayuki Yano, Tianci Huang, Matthew J. Zahr
We present a globally convergent method to accelerate density-based topology optimization using projection-based reduced-order models (ROMs) and trust-region methods. To accelerate…