A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems
From MaRDI portal
Publication:2203549
DOI10.1016/j.camwa.2019.03.046zbMath1443.65311OpenAlexW2935443565MaRDI QIDQ2203549
Ondřej Bartoš, Georg May, Filip Roskovec, Ajay Mandyam Rangarajan, Vít Dolejší
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.03.046
\(hp\)-methodsanisotropic mesh adaptationgoal-oriented error estimatesDWR methodmesh elements optimization
Related Items (7)
Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations ⋮ A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations ⋮ A unified \textit{hp}-HDG framework for Friedrichs' PDE systems ⋮ Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm ⋮ Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors ⋮ On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates ⋮ Anisotropic mesh generation and adaptation for quads using the \(L_p\)-CVT method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational localizations of the dual weighted residual estimator
- \(hp\)-discontinuous Galerkin method based on local higher order reconstruction
- The p- and h-p versions of the finite element method. An overview
- Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
- Discontinuous Galerkin methods on \(hp\)-anisotropic meshes. I: A priori error analysis
- \(hp\) optimization of finite element approximations: Analysis of the optimal mesh sequences in one dimension
- Anisotropic error estimates for elliptic problems
- Grid adaptation for functional outputs: application to two-dimensional inviscid flows
- Adjoint-based \textit{hp}-adaptivity on anisotropic meshes for high-order compressible flow simulations
- A continuous \(hp\)-mesh model for adaptive discontinuous Galerkin schemes
- Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems.
- Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems
- The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
- On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates
- Anisotropic \(hp\)-mesh optimization technique based on the continuous mesh and error models
- An optimization-based framework for anisotropic simplex mesh adaptation
- Anisotropic \(hp\)-adaptive method based on interpolation error estimates in the \(L^q\)-norm
- Error estimation and anisotropic mesh refinement for 3D laminar aerodynamic flow simulations
- High-order sonic boom modeling based on adaptive methods
- $hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems
- Guaranteed computable bounds on quantities of interest in finite element computations
- Goal Oriented, Anisotropic, A Posteriori Error Estimates for the Laplace Equation
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- An optimal control approach to a posteriori error estimation in finite element methods
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- High‐order CFD methods: current status and perspective
- A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems
- Discontinuous Galerkin Method
- Anisotropic “Goal-Oriented” Mesh Adaptivity for Elliptic Problems
- Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations
- Computing with hp-ADAPTIVE FINITE ELEMENTS
This page was built for publication: A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems
