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Manifold reducibility for a Lagrangian finite element solver with remeshing
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Optimization-based model order reduction of fluid-structure interaction problems
A Robust Shifted Proper Orthogonal Decomposition: Proximal Methods for Decomposing Flows with Multiple Transports
Philipp Krah, Arthur Marmin, Beata Zorawski, Julius Reiss and Kai Schneider SIAM Journal on Scientific Computing 47(2) A633 (2025) https://doi.org/10.1137/24M164392X
A Registration Method for Reduced Basis Problems Using Linear Optimal Transport
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs
Rambod Mojgani, Maciej Balajewicz and Pedram Hassanzadeh Computer Methods in Applied Mechanics and Engineering 404 115810 (2023) https://doi.org/10.1016/j.cma.2022.115810
Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder
Patrick Buchfink, Silke Glas and Bernard Haasdonk SIAM Journal on Scientific Computing 45(2) A289 (2023) https://doi.org/10.1137/21M1466657
Front Transport Reduction for Complex Moving Fronts