An a-posteriori error estimate for \(hp\)-adaptive DG methods for convection-diffusion problems on anisotropically refined meshes

DOI10.1016/j.camwa.2012.10.015zbMath1350.65114OpenAlexW57410725MaRDI QIDQ316570

Stefano Giani, Liang Zhu, Dominik Schötzau

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.10.015

zbMATH Keywords

algorithmnumerical experimentserror estimationconvection-diffusion problemsdiscontinuous Galerkin methods\(hp\)-adaptivity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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

Editorial: High-order finite element approximation for partial differential equations, \(h p\)-adaptive discontinuous Galerkin methods for simplified \(\operatorname{P}_{\operatorname{N}}\) approximations of frequency-dependent radiative transfer, Fast, low-memory numerical methods for radiative transfer via \(hp\)-adaptive mesh refinement, \(hp\)-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems, \(hp\)-discontinuous Galerkin method based on local higher order reconstruction, Reliable anisotropic-adaptive discontinuous Galerkin method for simplified \(\mathbf{P}_{\mathbf{N}}\) approximations of radiative transfer, A posteriori discontinuous Galerkin error estimator for linear elasticity, $HP$-Adaptive Celatus Enriched Discontinuous Galerkin Method for Second-Order Elliptic Source Problems, Multi-\textbf{hp} adaptive discontinuous Galerkin methods for simplified \(P_{N}\) approximations of 3D radiative transfer in non-gray media, Shock capturing techniques for \(h p\)-adaptive finite elements, An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods, Adjoint-based anisotropic \(hp\)-adaptation for discontinuous Galerkin methods using a continuous mesh model

Uses Software

• MUMPS
• AptoFEM

Cites Work

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