Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization (Q2952714)

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English	Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization	scientific article

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instance of

scholarly article

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title

Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization (English)

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zbMATH Open document ID

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International Journal for Numerical Methods in Engineering

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publication date

30 December 2016

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full work available at URL

https://arxiv.org/abs/1407.7618

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Mathematics Subject Classification ID

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model order reduction

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PDE-constrained optimization

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optimization

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proper orthogonal decomposition (POD)

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reduced-order model (ROM)

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singular value decomposition (SVD)

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describes a project that uses

SNOPT

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pyOpt

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MaRDI profile type

MaRDI publication profile

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Large-scale PDE-constrained optimization

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

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Reduced-order adaptive controllers for fluid flows using POD

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Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model

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Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models

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Proper orthogonal decomposition for optimality systems

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Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems

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Parametric free-form shape design with PDE models and reduced basis method

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

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A priori hyperreduction method: an adaptive approach

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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 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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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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Reduced-basis techniques for rapid reliable optimization of systems described by affinely parametrized coercive elliptic partial differential equations

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

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Model Order Reduction for Networks of ODE and PDE Systems

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Reduced basis approximation anda posteriori error estimation for stress intensity factors

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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 low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems

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Reduced-order fluid/structure modeling of a complete aircraft configuration

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Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition

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A method for interpolating on manifolds structural dynamics reduced-order models

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Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems

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Accelerating Optimization of Parametric Linear Systems by Model Order Reduction

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Convergence Analysis of Pseudo-Transient Continuation

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Projected Pseudotransient Continuation

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Approximation of parametric derivatives by the empirical interpolation method

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Fast low-rank modifications of the thin singular value decomposition

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Sensitivity analysis and design optimization of three-dimensional non-linear aeroelastic systems by the adjoint method

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Three-dimensional shape optimization

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Approximate Riemann solvers, parameter vectors, and difference schemes

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SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

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PyOpt: a python-based object-oriented framework for nonlinear constrained optimization

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mardi Publication:2952714