A local ROM for Rayleigh-Bénard bifurcation problems (Q6497192)

scientific article; zbMATH DE number 7842830

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English	A local ROM for Rayleigh-Bénard bifurcation problems	scientific article; zbMATH DE number 7842830

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instance of

scholarly article

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title

A local ROM for Rayleigh-Bénard bifurcation problems (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

6 May 2024

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zbMATH Keywords

localized reduced-order methods

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reduced basis

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bifurcation problems

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k-means clustering

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proper orthogonal decomposition

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Rayleigh Bénard instability

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MaRDI profile type

MaRDI publication profile

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Performance of parallel-in-time integration for Rayleigh Bénard convection

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Bifurcation phenomena in a convection problem with temperature dependent viscosity at low aspect ratio

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An efficient spectral code for incompressible flows in cylindrical geometries

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Reduced Basis Methods for Partial Differential Equations

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Spectral approximation for elliptic boundary value problems

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Inertial manifolds for nonlinear evolutionary equations

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Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations

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Computing inertial manifolds

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Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension

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Localization and approximation of attractors for the Ginzburg-Landau equation

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Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem

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L<scp>OW</scp>-D<scp>IMENSIONAL</scp> M<scp>ODELING AND</scp> N<scp>UMERICAL</scp> S<scp>IMULATION OF</scp> T<scp>RANSITION IN</scp> S<scp>IMPLE</scp> S<scp>HEAR</scp> F<scp>LOWS</scp>

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Model Order Reduction in Fluid Dynamics: Challenges and Perspectives

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Calibrated reduced-order POD-Galerkin system for fluid flow modelling

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Stability and accuracy of periodic flow solutions obtained by a POD-penalty method

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Equation-free/Galerkin-free POD-assisted computation of incompressible flows

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Low-dimensional modelling of a transient cylinder wake using double proper orthogonal decomposition

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: applications to natural convection in a cavity

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An efficient computational framework for reduced basis approximation and<i>a posteriori</i>error estimation of parametrized Navier–Stokes flows

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Physics-informed cluster analysis and a priori efficiency criterion for the construction of local reduced-order bases

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Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations

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A goal-oriented reduced-order modeling approach for nonlinear systems

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Reduced order models based on local POD plus Galerkin projection

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Adaptive sampling and modal expansions in pattern-forming systems

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An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations

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An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations

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Parameter multi-domain ‘<i>hp</i> ’ empirical interpolation

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A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

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Localized Discrete Empirical Interpolation Method

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Nonlinear model order reduction based on local reduced-order bases

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Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction

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Cluster-based reduced-order modelling of a mixing layer

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A localized reduced-order modeling approach for PDEs with bifurcating solutions

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A comparison of reduced-order modeling approaches using artificial neural networks for PDEs with bifurcating solutions

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Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method

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Q5396710

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Q2934696

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RB (reduced basis) for RB (Rayleigh-Bénard)

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A flexible symmetry-preserving Galerkin/POD reduced order model applied to a convective instability problem

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Reduced basis method applied to a convective stability problem

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Identifiers

DOI

10.1016/j.cma.2024.116949

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6497192