Parametric reduced order models based on a Riemannian barycentric interpolation
From MaRDI portal
Publication:6554022
DOI10.1002/NME.6805zbMATH Open1548.65049MaRDI QIDQ6554022
Mourad Oulghelou, Rolando Mosquera, C. Allery
Publication date: 12 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
proper orthogonal decompositionRiemannian barycentermanifold of fixed-rank matricesparametric reduced order modelssubspaces interpolation
Cites Work
- Title not available (Why is that?)
- A priori space-time separated representation for the reduced order modeling of low Reynolds number flows
- PGD-based \textit{computational vademecum} for efficient design, optimization and control
- On the deterministic solution of multidimensional parametric models using the proper generalized decomposition
- Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
- The LATIN multiscale computational method and the proper generalized decomposition
- A minimum residual projection to build coupled velocity-pressure POD-ROM for incompressible Navier-Stokes equations
- Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
- Using adaptive proper orthogonal decomposition to solve the reaction-diffusion equation
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- On a multiscale computational strategy with time and space homogenization for structural mechanics.
- Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
- Applying proper orthogonal decomposition to the computation of particle dispersion in a two-dimensional ventilated cavity
- Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold
- POD basis interpolation via inverse distance weighting on Grassmann manifolds
- A fast and robust sub-optimal control approach using reduced order model adaptation techniques
- A mathematical and numerical study of the sensitivity of a reduced order model by POD (ROM-POD), for a 2D incompressible fluid flow
- Active control of flexible structures using principal component analysis in the time domain
- Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
- Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Riemannian center of mass and mollifier smoothing
- The Geometry of Algorithms with Orthogonality Constraints
- NUMERICAL SOLUTIONS OF OPTIMAL CONTROL FOR THERMALLY CONVECTIVE FLOWS
- Estimation of Riemannian Barycentres
- Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices
Related Items (2)
Greedy identification of latent dynamics from parametric flow data ⋮ Stiefel manifold interpolation for non-intrusive model reduction of parameterized fluid flow problems
This page was built for publication: Parametric reduced order models based on a Riemannian barycentric interpolation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6554022)