Towards error bounds of the failure probability of elastic structures using reduced basis models
Sign Up to like & getrecommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5554
Abstract: Structural reliability methods aim at computing the probability of failure of systems with respect to prescribed limit state functions. A common practice to evaluate these limit state functions is using Monte Carlo simulations. The main… read more here.
Keywords: bounds failure; failure probability; reduced basis; probability ... See more keywords
Application of adaptive ANOVA and reduced basis methods to the stochastic Stokes-Brinkman problem
Sign Up to like & getrecommendations! Published in 2021 at "Computational Geosciences"
DOI: 10.1007/s10596-021-10048-z
Abstract: The Stokes-Brinkman equations model fluid flow in highly heterogeneous porous media. In this paper, we consider the numerical solution of the Stokes-Brinkman equations with stochastic permeabilities, where the permeabilities in subdomains are assumed to be… read more here.
Keywords: application adaptive; stokes brinkman; reduced basis; adaptive anova ... See more keywords
Certified Reduced Basis Approximation for the Coupling of Viscous and Inviscid Parametrized Flow Models
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0430-y
Abstract: We present a model order reduction approach for parametrized laminar flow problems including viscous boundary layers. The viscous effects are captured by the incompressible Navier–Stokes equations in the vicinity of the boundary layer, whereas a… read more here.
Keywords: certified reduced; model; reduced basis; basis approximation ... See more keywords
Fast solution of neutron diffusion problem by reduced basis finite element method
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2017.09.044
Abstract: Abstract For the important applications which need carry out many times of neutron diffusion calculations such as the fuel depletion analysis and the neutronics-thermohydraulics coupling analysis, fast and accurate solutions of the neutron diffusion equation… read more here.
Keywords: finite element; diffusion; reduced basis; neutron diffusion ... See more keywords
An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.02.028
Abstract: Abstract We present a model reduction formulation for parametrized nonlinear partial differential equations (PDEs). Our approach builds on two ingredients: reduced basis (RB) spaces which provide rapidly convergent approximations to the parametric manifold; sparse empirical… read more here.
Keywords: quadrature; empirical quadrature; procedure; reduced basis ... See more keywords
Fast divergence-conforming reduced basis methods for steady Navier–Stokes flow
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.11.038
Abstract: Abstract Reduced-basis methods (RB methods or RBMs) form one of the most promising techniques to deliver numerical solutions of parametrized PDEs in real-time with reasonable accuracy. For incompressible flow problems, RBMs based on LBB stable… read more here.
Keywords: divergence conforming; basis; velocity; navier stokes ... See more keywords
Optimal and fast field reconstruction with reduced basis and limited observations: Application to reactor core online monitoring
Sign Up to like & getrecommendations! Published in 2021 at "Nuclear Engineering and Design"
DOI: 10.1016/j.nucengdes.2021.111113
Abstract: Abstract The fast reconstruction of neutronic field in a nuclear core using reduced modeling and limited observations has attracted considerable attention. In particular, four design parameters are considered for developing efficient and robust field reconstruction… read more here.
Keywords: reconstruction; field; field reconstruction; reduced basis ... See more keywords
Reduced basis emulation of pairing in finite systems
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.107.144503
Abstract: In recent years, reduced basis methods (RBMs) have been adapted to the many-body eigenvalue problem and they have been used, largely in nuclear physics, as fast emulators able to bypass expensive direct computations while still… read more here.
Keywords: many body; reduced basis; finite systems; basis ... See more keywords
Quasi-Periodic Array Modeling Using Reduced Basis Method
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Antennas and Wireless Propagation Letters"
DOI: 10.1109/aps.2016.7696376
Abstract: Many electromagnetic devices such as reflectarray antennas, metasurfaces, etc., can be modeled as quasi-periodic arrays. In these devices, similar array elements with a few varying geometrical parameters are positioned in a periodic lattice. Compared to… read more here.
Keywords: array; basis method; reduced basis; periodic array ... See more keywords
Analysis of Transition for a Flow in a Channel via Reduced Basis Methods
Sign Up to like & getrecommendations! Published in 2019 at "Fluids"
DOI: 10.3390/fluids4040202
Abstract: The study of the flow mechanisms leading to transition in a planar channel flow is investigated by means of a reduced basis method known as Dynamic Mode Decomposition (DMD). The problem of identification of the… read more here.
Keywords: transition; reduced basis; analysis transition; channel ... See more keywords
Stochastic Galerkin Reduced Basis Methods for Parametrized Linear Convection–Diffusion–Reaction Equations
Sign Up to like & getrecommendations! Published in 2021 at "Fluids"
DOI: 10.3390/fluids6080263
Abstract: We consider the estimation of parameter-dependent statistics of functional outputs of steady-state convection–diffusion–reaction equations with parametrized random and deterministic inputs in the framework of linear elliptic partial differential equations. For a given value of the… read more here.
Keywords: diffusion reaction; parameter; convection diffusion; reduced basis ... See more keywords