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HDG-POD reduced order model of the heat equation (Q2315911)

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Language	Label	Description	Also known as
English	HDG-POD reduced order model of the heat equation	scientific article

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scholarly article

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HDG-POD reduced order model of the heat equation (English)

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John R. Singler

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Journal of Computational and Applied Mathematics

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publication date

26 July 2019

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full work available at URL

https://arxiv.org/abs/1801.00079

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zbMATH Keywords

hybridizable discontinuous Galerkin method

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proper orthogonal decomposition

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error analysis

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems

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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

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An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations

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An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations

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A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems

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A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows

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Analysis of the HDG method for the stokes–darcy coupling

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Analysis of a reduced-order HDG method for the Stokes equations

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An analysis of HDG methods for the Helmholtz equation

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Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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Nondestructive evaluation using a reduced-order computational methodology

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POD-Galerkin approximations in PDE-constrained optimization

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

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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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Reduced-order adaptive controllers for fluid flows using POD

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Reduced-order-based feedback control of the Kuramoto--Sivashinsky equation

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Galerkin proper orthogonal decomposition methods for parabolic problems

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Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

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Error Estimation for Reduced-Order Models of Dynamical Systems

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Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations

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New POD Error Expressions, Error Bounds, and Asymptotic Results for Reduced Order Models of Parabolic PDEs

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Variational multiscale proper orthogonal decomposition: Navier‐stokes equations

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Error estimates for space–time discontinuous Galerkin formulation based on proper orthogonal decomposition

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An analysis of galerkin proper orthogonal decomposition for subdiffusion

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Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples

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Error estimates for Galerkin reduced-order models of the semi-discrete wave equation

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Convergence analysis of Galerkin POD for linear second order evolution equations

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Error estimates of proper orthogonal decomposition eigenvectors and Galerkin projection for a general dynamical system arising in fluid models

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A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation

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Model reduction of dynamical systems by proper orthogonal decomposition: error bounds and comparison of methods using snapshots from the solution and the time derivatives

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Energy balance and mass conservation in reduced-order models of fluid flows

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Numerical analysis of the Leray reduced order model

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Uniform-in-time superconvergence of HDG methods for the heat equation

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Fast low-rank modifications of the thin singular value decomposition

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Low-rank incremental methods for computing dominant singular subspaces

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A Distributed and Incremental SVD Algorithm for Agglomerative Data Analysis on Large Networks

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Incremental proper orthogonal decomposition for PDE simulation data

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CAM.2018.09.031

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Sitelinks

Mathematics(1 entry)

mardi Publication:2315911

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