POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation (Q350095)

scientific article; zbMATH DE number 6660643

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English	POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation	scientific article; zbMATH DE number 6660643

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instance of

scholarly article

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title

POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation (English)

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Journal of Computational Physics

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publication date

5 December 2016

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full work available at URL

https://arxiv.org/abs/1402.5992

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zbMATH Keywords

inverse problems

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proper orthogonal decomposition

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discrete empirical interpolation method (DEIM)

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reduced-order models (ROMs)

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shallow water equations

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finite difference methods

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describes a project that uses

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A numerical investigation of velocity-pressure reduced order models for incompressible flows

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Adaptive control of a wake flow using proper orthogonal decomposition

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Space-time adaptive solution of inverse problems with the discrete adjoint method

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A reduced adjoint approach to variational data assimilation

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Stabilization of projection‐based reduced‐order models

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Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations

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Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition

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

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Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations

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Drag Minimization of the Cylinder Wake by Trust-Region Proper Orthogonal Decomposition

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

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Enablers for robust POD models

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The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations

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Goal-oriented, model-constrained optimization for reduction of large-scale systems

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A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition

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A low-cost, goal-oriented `compact proper orthogonal decomposition' basis for model reduction of static systems

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

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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A state space error estimate for POD-DEIM nonlinear model reduction

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A dual-weighted trust-region adaptive POD 4-D var applied to a finite-volume shallow water equations model on the sphere

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A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model

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POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model

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Q5171239

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Efficiency of a POD-based reduced second-order adjoint model in 4D-Var data assimilation

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

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Numerical Simulations with Data Assimilation Using an Adaptive POD Procedure

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Q2751466

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Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: trust region POD 4D VAR data assimilation

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A linear ADI method for the shallow-water equations

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A POD reduced-order 4D-Var adaptive mesh ocean modelling approach

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A new approach to variable metric algorithms

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A Family of Variable-Metric Methods Derived by Variational Means

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<i>A posteriori</i>error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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An alternating direction implicit method for solving the shallow water equations

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

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Q5701661

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Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition

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Reduced order control based on approximate inertial manifolds

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Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems

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POD \textit{a-posteriori} error based inexact SQP method for bilinear elliptic optimal control problems

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A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD

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Q4841246

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Q5806966

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Proper orthogonal decomposition for optimality systems

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Optimal snapshot location for computing POD basis functions

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Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition

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POD-based feedback control of the Burgers equation by solving the evolutionary HJB equation

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HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems

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

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Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming

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Q3843987

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Shape optimization for viscous flows by reduced basis methods and free‐form deformation

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

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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 order models based on local POD plus Galerkin projection

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Reduced-order adaptive controllers for fluid flows using POD

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Adaptive reduced-order controllers for a thermal flow system using proper orthogonal decomposition

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Parallel iterative methods for sparse linear systems

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POD-Galerkin approximations in PDE-constrained optimization

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Conditioning of Quasi-Newton Methods for Function Minimization

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Comparison of the reduced-basis and POD<i>a posteriori</i>error estimators for an elliptic linear-quadratic optimal control problem

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POD a-posteriori error estimates for linear-quadratic optimal control problems

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Two-layer shallow-water flow in two dimensions, a numerical study

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Numerical methods for low‐order modeling of fluid flows based on POD

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

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Identifiers

zbMATH Open document ID

1349.76535

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Mathematics Subject Classification ID

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10.1016/J.JCP.2015.04.030

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Sitelinks

Mathematics(1 entry)

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