An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs (Q5232312)

scientific article; zbMATH DE number 7100366

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English	An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs	scientific article; zbMATH DE number 7100366

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instance of

scholarly article

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title

An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs (English)

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SIAM Journal on Numerical Analysis

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publication date

2 September 2019

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full work available at URL

https://arxiv.org/abs/1811.09700

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zbMATH Keywords

Dirichlet boundary control

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convection dominated diffusion PDEs

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error analysis

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low regularity

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hybridizable discontinuous Galerkin (HDG) method

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MaRDI profile type

MaRDI publication profile

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cites work

On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains

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Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes

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Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems

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Optimal control of the convection-diffusion equation using stabilized finite element methods

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Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems

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The Mathematical Theory of Finite Element Methods

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Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems

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Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems

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Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

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Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems

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Theory of the Space-Time Discontinuous Galerkin Method for Nonstationary Parabolic Problems with Nonlinear Convection and Diffusion

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Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations

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Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension

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Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

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Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

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

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Analysis of HDG methods for Stokes flow

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A hybridizable discontinuous Galerkin method for fractional diffusion problems

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A Hybridizable Discontinuous Galerkin Method for the $p$-Laplacian

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

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Boundary Layers in Linear Elliptic Singular Perturbation Problems

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Finite element quasi-interpolation and best approximation

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An analysis of HDG methods for convection-dominated diffusion problems

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Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional Case

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A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity

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Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs

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Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls

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Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction

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The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls

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Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control

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Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems

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A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs

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Local analysis of HDG methods for convection-dominated diffusion problems

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Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods

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Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions

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Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems

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Analysis of a family of HDG methods for second order elliptic problems

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Dirichlet control of elliptic state constrained problems

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Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems

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Pointwise error estimates for a streamline diffusion finite element scheme

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An HDG method for convection diffusion equation

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A superconvergent HDG method for the incompressible Navier–Stokes equations on general polyhedral meshes

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Identifiers

zbMATH Open document ID

1422.49004

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DOI

10.1137/18M1208708

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5232312