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A Parametric, Data-Driven, Non-Intrusive Reduced-Order Model Framework for Crystal Plasticity Simulations of Voids
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POD-Galerkin reduced order model coupled with neural networks to solve flow in porous media
Model order reduction and sensitivity analysis for complex heat transfer simulations inside the human eyeball
Thomas Saigre, Christophe Prud'homme and Marcela Szopos International Journal for Numerical Methods in Biomedical Engineering 40(11) (2024) https://doi.org/10.1002/cnm.3864
Reduced basis homogenization of thermal and elastic properties for periodic composite materials
A projection‐based reduced‐order model for parametric quasi‐static nonlinear mechanics using an open‐source industrial code
Eki Agouzal, Jean‐Philippe Argaud, Michel Bergmann, Guilhem Ferté and Tommaso Taddei International Journal for Numerical Methods in Engineering 125(4) (2024) https://doi.org/10.1002/nme.7385
Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure
Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems
Lihong Feng, Luigi Lombardi, Giulio Antonini and Peter Benner International Journal for Numerical Methods in Engineering 124(23) 5312 (2023) https://doi.org/10.1002/nme.7348
An automated parameter domain decomposition approach for gravitational wave surrogates using hp-greedy refinement
Evaluation of the iterative method of task distribution in a swarm of unmanned aerial vehicles in a clustered field of targets
Vyacheslav Petrenko, Fariza Tebueva, Vladimir Antonov, Sergey Ryabtsev, Artur Sakolchik and Dina Satybaldina Journal of King Saud University - Computer and Information Sciences 35(3) 283 (2023) https://doi.org/10.1016/j.jksuci.2023.02.022
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
Evaluation of dual-weighted residual and machine learning error estimation for projection-based reduced-order models of steady partial differential equations
An iterative multi‐fidelity approach for model order reduction of multidimensional input parametric PDE systems
Manisha Chetry, Domenico Borzacchiello, Lucas Lestandi and Luisa Rocha Da Silva International Journal for Numerical Methods in Engineering 124(22) 4941 (2023) https://doi.org/10.1002/nme.7333
Localized model order reduction and domain decomposition methods for coupled heterogeneous systems
Niccolò Discacciati and Jan S. Hesthaven International Journal for Numerical Methods in Engineering 124(18) 3964 (2023) https://doi.org/10.1002/nme.7295
Reduced order modeling for elliptic problems with high contrast diffusion coefficients
Albert Cohen, Wolfgang Dahmen, Matthieu Dolbeault and Agustin Somacal ESAIM: Mathematical Modelling and Numerical Analysis 57(5) 2775 (2023) https://doi.org/10.1051/m2an/2023013
Symplectic model reduction methods for the Vlasov equation
Non-Smooth and Complementarity-Based Distributed Parameter Systems
Stefan Banholzer, Bennet Gebken, Michael Dellnitz, Sebastian Peitz and Stefan Volkwein International Series of Numerical Mathematics, Non-Smooth and Complementarity-Based Distributed Parameter Systems 172 43 (2022) https://doi.org/10.1007/978-3-030-79393-7_3
Recent Advances in Industrial and Applied Mathematics
Projection-tree reduced-order modeling for fast N-body computations
Steven N. Rodriguez, Athanasios P. Iliopoulos, Kevin T. Carlberg, et al. Journal of Computational Physics 459 111141 (2022) https://doi.org/10.1016/j.jcp.2022.111141
Biorthogonal Greedy Algorithms in convex optimization
A greedy reduced basis algorithm for structural acoustic systems with parameter and implicit frequency dependence
Christopher Jelich, Suhaib Koji Baydoun, Matthias Voigt and Steffen Marburg International Journal for Numerical Methods in Engineering 122(24) 7409 (2021) https://doi.org/10.1002/nme.6835
Error estimate of the non-intrusive reduced basis method with finite volume schemes
An Automatic Krylov subspaces Recycling technique for the construction of a global solution basis of non-affine parametric linear systems
Dionysios Panagiotopoulos, Wim Desmet and Elke Deckers Computer Methods in Applied Mechanics and Engineering 373 113510 (2021) https://doi.org/10.1016/j.cma.2020.113510
On the stability and accuracy of the empirical interpolation method and gravitational wave surrogates
Generalization of the Neville–Aitken interpolation algorithm on Grassmann manifolds: Applications to reduced order model
Rolando Mosquera, Abdallah El Hamidi, Aziz Hamdouni and Antoine Falaize International Journal for Numerical Methods in Fluids 93(7) 2421 (2021) https://doi.org/10.1002/fld.4981
Reduced Basis Greedy Selection Using Random Training Sets
Albert Cohen, Wolfgang Dahmen, Ronald DeVore and James Nichols ESAIM: Mathematical Modelling and Numerical Analysis 54(5) 1509 (2020) https://doi.org/10.1051/m2an/2020004
A greedy reduced basis scheme for multifrequency solution of structural acoustic systems
Suhaib Koji Baydoun, Matthias Voigt, Christopher Jelich and Steffen Marburg International Journal for Numerical Methods in Engineering 121(2) 187 (2020) https://doi.org/10.1002/nme.6205
Greedy algorithms and Kolmogorov widths in Banach spaces
Nonintrusive approximation of parametrized limits of matrix power algorithms – application to matrix inverses and log-determinants
Fabien Casenave, Nissrine Akkari, Alexandre Charles and Christian Rey ESAIM: Mathematical Modelling and Numerical Analysis 53(1) 219 (2019) https://doi.org/10.1051/m2an/2018048
Gaussian Process Landmarking on Manifolds
Tingran Gao, Shahar Z. Kovalsky and Ingrid Daubechies SIAM Journal on Mathematics of Data Science 1(1) 208 (2019) https://doi.org/10.1137/18M1184035
Greedy optimal control for elliptic problems and its application to turnpike problems