Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods (Q2309030)

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English	Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods	scientific article

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instance of

scholarly article

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title

Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

6 April 2020

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full work available at URL

https://arxiv.org/abs/1605.06138

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zbMATH Keywords

reduced basis

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empirical interpolation

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iterative methods

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preconditioning

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describes a project that uses

UMFPACK

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redbKIT

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MaRDI profile type

MaRDI publication profile

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cites work

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

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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

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A general multipurpose interpolation procedure: The magic points

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Preconditioning Techniques for Reduced Basis Methods for Parameterized Elliptic Partial Differential Equations

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Phase field computations for ternary fluid flows

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Analysis of a Stokes interface problem

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An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane

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The Reduced Basis Method for Incompressible Viscous Flow Calculations

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

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An efficient computational framework for reduced basis approximation anda posteriorierror estimation of parametrized Navier–Stokes flows

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

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Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations

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Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method

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Reduced Basis Methods for Partial Differential Equations

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The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows

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Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition

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Finite Elements and Fast Iterative Solvers

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Finite element approximation of the Navier-Stokes equations

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

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On the stability of the reduced basis method for Stokes equations in parametrized domains

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Stabilized reduced basis approximation of incompressible three-dimensional Navier-Stokes equations in parametrized deformed domains

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Algorithm 832

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On the Finite Element Solution of the Pure Neumann Problem

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Convergence Rates for Greedy Algorithms in Reduced Basis Methods

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A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method

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Q3531414

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Preconditioning Steady-State Navier--Stokes Equations with Random Data

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Iterative Krylov Methods for Large Linear Systems

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Identifiers

zbMATH Open document ID

1439.76064

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DOI

10.1016/j.cma.2016.12.011

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2309030