REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS (Q3087878)

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English	REDUCED BASIS APPROXIMATION AND<i>A POSTERIORI</i>ERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS	scientific article

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instance of

scholarly article

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title

REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS (English)

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17 August 2011

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zbMATH Keywords

stability

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offline-online procedure

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successive constraint method

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real-time computation

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describes a project that uses

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Preconditioning constrained eigenvalue problems

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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POD and CVT-based reduced-order modeling of Navier-Stokes flows

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A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs

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Evaluation of Proper Orthogonal Decomposition--Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows

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Order and disorder in two- and three-dimensional Bénard convection

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Reduced Basis Error Bound Computation of Parameter-Dependent Navier–Stokes Equations by the Natural Norm Approach

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Hydrodynamic Stability

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

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On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations

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Stability of multiple steady states of convection in laterally heated cavities

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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Q4693060

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Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data

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Reduced basis method for finite volume approximations of parametrized linear evolution equations

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High-fidelity real-time simulation on deployed platforms

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A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants

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A reduced-order method for simulation and control of fluid flows

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Reduced Basis Method for Optimal Control of Unsteady Viscous Flows

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Reduced order feedback synthesis for viscous incompressible flows

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Reduced-basis modeling of turbulent plane channel flow

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Numerics and Hydrodynamic Stability: Toward Error Control in Computational Fluid Dynamics

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A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations

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A Certified Reduced Basis Method for the Fokker–Planck Equation of Dilute Polymeric Fluids: FENE Dumbbells in Extensional Flow

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A high-performance parallel implementation of the certified reduced basis method

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Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation

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The Reduced Basis Method for Initial Value Problems

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Numerical solution of parametrized Navier–Stokes equations by reduced basis methods

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Reduced-basis output bound methods for parabolic problems

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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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Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds

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Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.

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full work available at URL

https://doi.org/10.1142/s0218202511005441

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published in

M$^3$AS. Mathematical Models \& Methods in Applied Sciences

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Identifiers

zbMATH Open document ID

1279.76023

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DOI

10.1142/S0218202511005441

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:3087878

REDUCED BASIS APPROXIMATION AND<i>A POSTERIORI</i>ERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS (Q3087878)

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Mathematics(1 entry)