Shape optimization through proper orthogonal decomposition with interpolation and dynamic mode decomposition enhanced by active subspaces
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[1] Gianluigi Rozza,et al. Projection-based reduced order models for a cut finite element method in parametrized domains , 2019, Comput. Math. Appl..
[2] Thomas W. Sederberg,et al. Free-form deformation of solid geometric models , 1986, SIGGRAPH.
[3] Minyong R. Lee,et al. Modified Active Subspaces Using the Average of Gradients , 2019, SIAM/ASA J. Uncertain. Quantification.
[4] Gianluigi Rozza,et al. Free Form Deformation Techniques Applied to 3D Shape Optimization Problems , 2013 .
[5] Steven L. Brunton,et al. Multiresolution Dynamic Mode Decomposition , 2015, SIAM J. Appl. Dyn. Syst..
[6] Gianluigi Rozza,et al. An efficient shape parametrisation by free-form deformation enhanced by active subspace for hull hydrodynamic ship design problems in open source environment , 2018, 1801.06369.
[7] Gianluigi Rozza,et al. Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains , 2020 .
[8] Qiqi Wang,et al. Erratum: Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces , 2013, SIAM J. Sci. Comput..
[9] Ralph C. Smith,et al. Gradient-Free Construction of Active Subspaces for Dimension Reduction in Complex Models with Applications to Neutronics , 2019, SIAM/ASA J. Uncertain. Quantification.
[10] Gianluigi Rozza,et al. Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems , 2017, Advanced Modeling and Simulation in Engineering Sciences.
[11] Gianluigi Rozza,et al. Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives , 2016 .
[12] D. Shepard. A two-dimensional interpolation function for irregularly-spaced data , 1968, ACM National Conference.
[13] P. Schmid,et al. Dynamic mode decomposition of numerical and experimental data , 2008, Journal of Fluid Mechanics.
[14] Gianluigi Rozza,et al. Shape Optimization by means of Proper Orthogonal Decomposition and Dynamic Mode Decomposition , 2018, 1803.07368.
[15] Christian B Allen,et al. CFD‐based optimization of aerofoils using radial basis functions for domain element parameterization and mesh deformation , 2008 .
[16] G. Rozza,et al. Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations , 2017, Computers & Fluids.
[17] A. Quarteroni,et al. Model reduction techniques for fast blood flow simulation in parametrized geometries , 2012, International journal for numerical methods in biomedical engineering.
[18] Gianluigi Rozza,et al. PyDMD: Python Dynamic Mode Decomposition , 2018, J. Open Source Softw..
[19] G. Rozza,et al. Combined Parameter and Model Reduction of Cardiovascular Problems by Means of Active Subspaces and POD-Galerkin Methods , 2017, 1711.10884.
[20] Paul G. Constantine,et al. Active Subspaces - Emerging Ideas for Dimension Reduction in Parameter Studies , 2015, SIAM spotlights.
[21] G. Rozza,et al. An integrated data-driven computational pipeline with model order reduction for industrial and applied mathematics , 2018, 1810.12364.
[22] Steven L. Brunton,et al. Dynamic mode decomposition - data-driven modeling of complex systems , 2016 .
[23] D. A. Bistrian,et al. Randomized dynamic mode decomposition for nonintrusive reduced order modelling , 2016, 1611.04884.
[24] Soledad Le Clainche Martínez,et al. Higher Order Dynamic Mode Decomposition , 2017, SIAM J. Appl. Dyn. Syst..
[25] P. Schmid,et al. Applications of the dynamic mode decomposition , 2011 .
[26] Simona Perotto,et al. A POD‐selective inverse distance weighting method for fast parametrized shape morphing , 2017, International Journal for Numerical Methods in Engineering.
[27] Gianluigi Rozza,et al. EZyRB: Easy Reduced Basis method , 2018, J. Open Source Softw..
[28] D. A. Bistrian,et al. Efficiency of randomised dynamic mode decomposition for reduced order modelling , 2018 .
[29] Steven L. Brunton,et al. Dynamic Mode Decomposition with Control , 2014, SIAM J. Appl. Dyn. Syst..
[30] Gianluigi Rozza,et al. Advances in reduced order methods for parametric industrial problems in computational fluid dynamics , 2018, 1811.08319.
[31] Gianluigi Rozza,et al. Model Order Reduction by means of Active Subspaces and Dynamic Mode Decomposition for Parametric Hull Shape Design Hydrodynamics , 2018, 1803.07377.
[32] 克寛 北嶋,et al. ガウス関数に基づくFree-Form Deformation , 1999 .
[33] G. Rozza,et al. POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder , 2017, 1701.03424.
[34] Gianluigi Rozza,et al. Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems , 2014 .
[35] Martin D. Buhmann,et al. Radial Basis Functions: Theory and Implementations: Preface , 2003 .
[36] G. Rozza,et al. Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation , 2018, International Journal of Computational Fluid Dynamics.