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A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems - MaRDI portal

A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems (Q5230623)

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scientific article; zbMATH DE number 7099318

Language	Label	Description	Also known as
English	A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems	scientific article; zbMATH DE number 7099318

Statements

scholarly article

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A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems (English)

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Ajay Mandyam Rangarajan

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SIAM Journal on Scientific Computing

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publication date

28 August 2019

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zbMATH Keywords

goal-oriented error estimates

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discontinuous Galerkin method

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anisotropic mesh adaptation

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Goal Oriented, Anisotropic, A Posteriori Error Estimates for the Laplace Equation

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High-order sonic boom modeling based on adaptive methods

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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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Adjoint-based \textit{hp}-adaptivity on anisotropic meshes for high-order compressible flow simulations

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An optimal control approach to <i>a posteriori</i> error estimation in finite element methods

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Anisotropic Measures of Third Order Derivatives and the Quadratic Interpolation Error on Triangular Elements

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An interpolation error estimate in $\mathcal{R}^2$ based on the anisotropic measures of higher order derivatives

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Anisotropic “Goal-Oriented” Mesh Adaptivity for Elliptic Problems

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Anisotropic \(hp\)-adaptive method based on interpolation error estimates in the \(L^q\)-norm

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Anisotropic \(hp\)-adaptive method based on interpolation error estimates in the \(H^1\)-seminorm.

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Discontinuous Galerkin Method

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Anisotropic \(hp\)-mesh optimization technique based on the continuous mesh and error models

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Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems.

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\(hp\)-discontinuous Galerkin method based on local higher order reconstruction

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Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems

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Anisotropic error estimates for elliptic problems

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Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis

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Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. II: A posteriori error analysis and adaptivity

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Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes

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Adjoint methods for PDEs: <i>a posteriori</i> error analysis and postprocessing by duality

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Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations

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Discontinuous<i>hp</i>-Finite Element Methods for Advection-Diffusion-Reaction Problems

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Error estimation and anisotropic mesh refinement for 3D laminar aerodynamic flow simulations

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Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations

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Optimally adapted meshes for finite elements of arbitrary order and \(W^{1,p}\) norms

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Variational localizations of the dual weighted residual estimator

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Grid adaptation for functional outputs: application to two-dimensional inviscid flows

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Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows.

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High‐order CFD methods: current status and perspective

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An optimization-based framework for anisotropic simplex mesh adaptation

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full work available at URL

https://doi.org/10.1137/18m1172491

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Identifiers

zbMATH Open document ID

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10.1137/18M1172491

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5230623

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