Certified reduced basis approximation for the coupling of viscous and inviscid parametrized flow models

Component-level proper orthogonal decomposition for flexible multibody systems ⋮ A non‐linear non‐intrusive reduced order model of fluid flow by auto‐encoder and self‐attention deep learning methods ⋮ 10 Model order reduction in uncertainty quantification ⋮ Verifiability of the data-driven variational multiscale reduced order model

rbMIT

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Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
Stabilized reduced basis approximation of incompressible three-dimensional Navier-Stokes equations in parametrized deformed domains
A natural-norm successive constraint method for inf-sup lower bounds
A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
The loss of orthogonality in the Gram-Schmidt orthogonalization process
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system
Heuristic strategies for the approximation of stability factors in quadratically nonlinear parametrized PDEs
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
On the stability of the reduced basis method for Stokes equations in parametrized domains
Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
A new certification framework for the port reduced static condensation reduced basis element method
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics
An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils
Coupling of viscous and inviscid Stokes equations via a domain decomposition method for finite elements
Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
Certified reduced basis approximation for parametrized partial differential equations and applications
A Dirichlet-Neumann reduced basis method for homogeneous domain decomposition problems
A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation
Incompressible Flow
An efficient computational framework for reduced basis approximation anda posteriorierror estimation of parametrized Navier–Stokes flows
The Static Condensation Reduced Basis Element Method for a Mixed-Mean Conjugate Heat Exchanger Model
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
Convergence Rates for Greedy Algorithms in Reduced Basis Methods
A reduced basis element method for the steady Stokes problem
Finite Element Methods for Navier-Stokes Equations
A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations
The Reduced Basis Element Method: Application to a Thermal Fin Problem
Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations
Certified Reduced Basis Methods for Parametrized Saddle Point Problems
Output Error Bounds for the Dirichlet-Neumann Reduced Basis Method
A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
Reduced basis method for finite volume approximations of parametrized linear evolution equations
A reduced-basis element method