Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction (Q1691775)

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English	Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction	scientific article

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instance of

scholarly article

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title

Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction (English)

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zbMATH Open document ID

1378.65145

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DOI

10.1016/j.jcp.2016.10.033

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Journal of Computational Physics

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publication date

25 January 2018

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full work available at URL

https://arxiv.org/abs/1504.03749

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Mathematics Subject Classification ID

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model reduction

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Gauss-Newton with approximated tensors method

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least-squares Petrov-Galerkin projection

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Galerkin projection

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computational fluid dynamics

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describes a project that uses

ScaLAPACK

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Spalart-Allmaras

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MaRDI profile type

MaRDI publication profile

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Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s

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

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Two-step greedy algorithm for reduced order quadratures

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Missing Point Estimation in Models Described by Proper Orthogonal Decomposition

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The dynamics of coherent structures in the wall region of a turbulent boundary layer

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Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation

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Stable Galerkin reduced-order models for linearized compressible flow

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

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A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

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Enablers for robust POD models

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ScaLAPACK Users' Guide

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Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space

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Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations

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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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Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems

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Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation

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Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods

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Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency

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Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter

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Dissipativity of numerical schemes

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Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems

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Low-order modelling of laminar flow regimes past a confined square cylinder

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Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations

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Preserving dissipation in approximate inertial forms for the Kuramoto- Sivashinsky equation

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On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far-field boundary treatment

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Structure-preserving model reduction for mechanical systems

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Nonlinear Galerkin Methods

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The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows

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A New Look at Proper Orthogonal Decomposition

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On low-dimensional Galerkin models for fluid flow

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Model reduction for compressible flows using POD and Galerkin projection

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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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A priori hyperreduction method: an adaptive approach

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Long time stability and convergence for fully discrete nonlinear galerkin methods

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A spectral viscosity method for correcting the long-term behavior of POD models.

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Turbulence and the dynamics of coherent structures. I. Coherent structures

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

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Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison

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Mathematics(1 entry)

mardi Publication:1691775