A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation.

Martin W. Hess Martin Wilfried Hess

Martin W. Hess Annalisa Quaini Gianluigi Rozza A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation. 22 2023 April 49 Adv. Comput. Math. 2 https://doi.org/10.1007/s10444-023-10016-4 db/journals/adcm/adcm49.html#HessQR23

Isabella Carla Gonnella Martin W. Hess Giovanni Stabile Gianluigi Rozza A two-stage deep learning architecture for model reduction of parametric time-dependent problems. 115-127 2023 November 149 Comput. Math. Appl. https://doi.org/10.1016/j.camwa.2023.08.026 db/journals/cma/cma149.html#GonnellaHSR23

Isabella Carla Gonnella Martin W. Hess Giovanni Stabile Gianluigi Rozza A two stages Deep Learning Architecture for Model Reduction of Parametric Time-Dependent Problems. 2023 abs/2301.09926 CoRR https://doi.org/10.48550/arXiv.2301.09926 db/journals/corr/corr2301.html#abs-2301-09926

Martin W. Hess Gianluigi Rozza Model Reduction Using Sparse Polynomial Interpolation for the Incompressible Navier-Stokes Equations. 2022 abs/2201.03228 CoRR https://arxiv.org/abs/2201.03228 db/journals/corr/corr2201.html#abs-2201-03228

Martin W. Hess Andrea Lario Gianmarco Mengaldo Gianluigi Rozza Reduced order modeling for spectral element methods: current developments in Nektar++ and further perspectives. 2022 abs/2201.05404 CoRR https://arxiv.org/abs/2201.05404 db/journals/corr/corr2201.html#abs-2201-05404

Martin W. Hess Annalisa Quaini Gianluigi Rozza A Data-Driven Surrogate Modeling Approach for Time-Dependent Incompressible Navier-Stokes Equations with Dynamic Mode Decomposition and Manifold Interpolation. 2022 abs/2201.10872 CoRR https://arxiv.org/abs/2201.10872 db/journals/corr/corr2201.html#abs-2201-10872

Martin W. Hess Annalisa Quaini Gianluigi Rozza Data-Driven Enhanced Model Reduction for Bifurcating Models in Computational Fluid Dynamics. 2022 abs/2202.09250 CoRR https://arxiv.org/abs/2202.09250 db/journals/corr/corr2202.html#abs-2202-09250

Moreno Pintore Federico Pichi Martin W. Hess Gianluigi Rozza Claudio Canuto Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. 1 2021 47 Adv. Comput. Math. 1 https://doi.org/10.1007/s10444-020-09827-6 https://www.wikidata.org/entity/Q114227758 db/journals/adcm/adcm47.html#PintorePHRC21

Nicola Giuliani Martin W. Hess Antonio DeSimone Gianluigi Rozza MicroROM: An Efficient and Accurate Reduced Order Method to Solve Many-Query Problems in Micro-Motility. 2020 abs/2006.13836 CoRR https://arxiv.org/abs/2006.13836 db/journals/corr/corr2006.html#abs-2006-13836

Martin W. Hess Annalisa Quaini Gianluigi Rozza A comparison of reduced-order modeling approaches for PDEs with bifurcating solutions. 2020 abs/2010.07370 CoRR https://arxiv.org/abs/2010.07370 db/journals/corr/corr2010.html#abs-2010-07370

Nirav Vasant Shah Martin Wilfried Hess Gianluigi Rozza Discontinuous Galerkin Model Order Reduction of Geometrically Parametrized Stokes Equation. 551-561 2019 ENUMATH https://doi.org/10.1007/978-3-030-55874-1_54 conf/enumath/2019 db/conf/enumath/enumath2019.html#ShahHR19

Gianluigi Rozza Martin W. Hess Giovanni Stabile Marco Tezzele Francesco Ballarin Basic Ideas and Tools for Projection-Based Model Reduction of Parametric Partial Differential Equations. 2019 abs/1911.08954 CoRR http://arxiv.org/abs/1911.08954 db/journals/corr/corr1911.html#abs-1911-08954

Moreno Pintore Federico Pichi Martin W. Hess Gianluigi Rozza Claudio Canuto Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method. 2019 abs/1912.06089 CoRR http://arxiv.org/abs/1912.06089 db/journals/corr/corr1912.html#abs-1912-06089

Nirav Vasant Shah Martin W. Hess Gianluigi Rozza Discontinuous Galerkin Model Order Reduction of Geometrically Parametrized Stokes Equation. 2019 abs/1912.09787 CoRR http://arxiv.org/abs/1912.09787 db/journals/corr/corr1912.html#abs-1912-09787

Martin W. Hess Peter Benner Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. 351-358 2015 ENUMATH https://doi.org/10.1007/978-3-319-39929-4_33 https://www.wikidata.org/entity/Q115214822 conf/enumath/2015 db/conf/enumath/enumath2015.html#HessB15 Francesco Ballarin Peter Benner Claudio Canuto Antonio DeSimone Nicola Giuliani Isabella Carla Gonnella Andrea Lario Gianmarco Mengaldo Federico Pichi Moreno Pintore Annalisa Quaini Gianluigi Rozza Nirav Vasant Shah Giovanni Stabile Marco Tezzele