A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems
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Publication:5230623
DOI10.1137/18M1172491zbMath1435.65198OpenAlexW2952118045WikidataQ127652991 ScholiaQ127652991MaRDI QIDQ5230623
Georg May, Filip Roskovec, Ajay Mandyam Rangarajan, Vít Dolejší
Publication date: 28 August 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1172491
Reaction-diffusion equations (35K57) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (11)
Goal-oriented anisotropic \(hp\)-adaptive discontinuous Galerkin method for the Euler equations ⋮ An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations ⋮ A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations ⋮ A continuous \textit{hp}-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions ⋮ An anisotropic \textit{hp}-mesh adaptation method for time-dependent problems based on interpolation error control ⋮ A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems ⋮ 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 ⋮ An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model ⋮ Adjoint-based anisotropic \(hp\)-adaptation for discontinuous Galerkin methods using a continuous mesh model ⋮ Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers
Uses Software
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