42 citations · 59 across the 3 of their papers we have counts for
3 papers
math.OC2021★ 1 cited
Decomposition of flow data via gradient-based transport optimization
Felix Black, Philipp Schulze, Benjamin Unger
We study an optimization problem related to the approximation of given data by a linear combination of transformed modes. In the simplest case, the optimization problem reduces to…
math.NA2021★ 16 cited
Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction
Felix Black, Philipp Schulze, Benjamin Unger
We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited fo…
math.NA2019★ 42 cited
Projection-Based Model Reduction with Dynamically Transformed Modes
Felix Black, Philipp Schulze, Benjamin Unger
We propose a new model reduction framework for problems that exhibit transport phenomena. As in the moving finite element method (MFEM), our method employs time-dependent transform…