Approximate optimal projection for reduced-order models
From MaRDI portal
Publication:2968723
DOI10.1002/nme.4963zbMath1360.65267OpenAlexW2135267467MaRDI QIDQ2968723
Assad A. Oberai, Jayanth Jagalur-Mohan
Publication date: 20 March 2017
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.4963
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (6)
Data-Driven Filtered Reduced Order Modeling of Fluid Flows ⋮ Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium ⋮ Data-driven variational multiscale reduced order models ⋮ Commutation error in reduced order modeling of fluid flows ⋮ Stochastic variational multiscale analysis of the advection-diffusion equation: advective-diffusive regime and multi-dimensional problems ⋮ Verifiability of the data-driven variational multiscale reduced order model
Uses Software
Cites Work
- Unnamed Item
- Automated solution of differential equations by the finite element method. The FEniCS book
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- The variational multiscale method -- a paradigm for computational mechanics
- Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
- Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Variational Multiscale Analysis: The Fine-Scale Green's Function for Stochastic Partial Differential Equations
- Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations
- Application of the variational Germano identity to the variational multiscale formulation
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- An efficient reduced-order modeling approach for non-linear parametrized partial differential equations
- Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
- Parallel Preconditioning with Sparse Approximate Inverses
- A reduced-order approach for optimal control of fluids using proper orthogonal decomposition
- Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
- A Preconditioner for the Steady-State Navier--Stokes Equations
- ILUT: A dual threshold incomplete LU factorization
- Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems
- A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
This page was built for publication: Approximate optimal projection for reduced-order models
