Reduced collocation method for time-dependent parametrized partial differential equations
type: Item
instance of: scholarly article
title: Reduced collocation method for time-dependent parametrized partial differential equations
zbMATH Open document ID: 1442.65291
author: Rezvan Ghaffari
author: F. Ghoreishi
published in: Bulletin of the Iranian Mathematical Society
publication date: 2019-10-22T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35A17
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7120128
zbMATH Keywords: reduced basis methods (RBMs)
zbMATH Keywords: collocation method
zbMATH Keywords: parametrized partial differential equations (PDEs)
zbMATH Keywords: least squares
zbMATH Keywords: proper orthogonal decomposition (POD) method
describes a project that uses: redbKIT
MaRDI profile type: Publication
full work available at URL: s41980-019-00210-w
OpenAlex ID: W2921705307
cites work: Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
cites work: Reduced Order Controllers for Spatially Distributed Systems via Proper Orthogonal Decomposition
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: On the Reduced Basis Method
cites work: Convergence Rates for Greedy Algorithms in Reduced Basis Methods
cites work: \textit{A priori} convergence of the greedy algorithm for the parametrized reduced basis method
cites work: Spectral Methods
cites work: Reduced collocation methods: Reduced basis methods in the collocation framework
cites work: A reduced radial basis function method for partial differential equations on irregular domains
cites work: Parametric analytical preconditioning and its applications to the reduced collocation methods
cites work: Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
cites work: A Practical Guide to Pseudospectral Methods
cites work: Q3998716
cites work: Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
cites work: A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
cites work: Convergence Rates of the POD–Greedy Method
cites work: Reduced basis method for finite volume approximations of parametrized linear evolution equations
cites work: Spectral Methods for Time-Dependent Problems
cites work: Certified Reduced Basis Methods for Parametrized Partial Differential Equations
cites work: Turbulence, Coherent Structures, Dynamical Systems and Symmetry
cites work: A natural-norm successive constraint method for inf-sup lower bounds
cites work: A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
cites work: Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries
cites work: The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
cites work: Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms
cites work: REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS
cites work: Galerkin proper orthogonal decomposition methods for parabolic problems
cites work: A subspace approach to balanced truncation for model reduction of nonlinear control systems
cites work: Principal component analysis in linear systems: Controllability, observability, and model reduction
cites work: A ‘best points’ interpolation method for efficient approximation of parametrized functions
cites work: Large‐Scale Inverse Problems and Quantification of Uncertainty
cites work: Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation
cites work: A reduced basis method for evolution schemes with parameter-dependent explicit operators
cites work: Preconditioning Legendre spectral collocation methods for elliptic problems. I: Finite difference operators
cites work: The Reduced Basis Method for Incompressible Viscous Flow Calculations
cites work: Reduced Basis Methods for Partial Differential Equations
cites work: Certified reduced basis approximation for parametrized partial differential equations and applications
cites work: Proper orthogonal decomposition closure models for fluid flows: Burgers equation
cites work: Reduced-basis approximation of the viscous Burgers equation: Rigorous a posteriori error bounds.
cites work: A Space-Time Petrov--Galerkin Certified Reduced Basis Method: Application to the Boussinesq Equations
cites work: A space-time hp-interpolation-based certified reduced basis method for Burgers' equation
cites work: An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations
Wikidata QID: Q128129122
DOI: 10.1007/S41980-019-00210-W
description: scientific article