Skip to Main content Skip to Navigation
Journal articles

Goal-Oriented p -Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem

Abstract : This work proposes the use of an alternative error representation for Goal-Oriented Adaptivity (GOA) in context of steady state convection dominated diffusion problems. It introduces an arbitrary operator for the computation of the error of an alternative dual problem. From the new representation, we derive element-wise estimators to drive the adaptive algorithm. The method is applied to a one dimensional (1D) steady state convection dominated diffusion problem with homogeneous Dirichlet boundary conditions. This problem exhibits a boundary layer that produces a loss of numerical stability. The new error representation delivers sharper error bounds. When applied to a p-GOA Finite Element Method (FEM), the alternative error representation captures earlier the boundary layer, despite the existing spurious numerical oscillations.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01691499
Contributor : Florian Faucher <>
Submitted on : Wednesday, January 24, 2018 - 9:04:59 AM
Last modification on : Thursday, March 5, 2020 - 7:23:38 PM

Links full text

Identifiers

Collections

Citation

Vincent Darrigrand, Ángel Rodríguez-Rozas, David Pardo, Ignacio Muga. Goal-Oriented p -Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem. Procedia Computer Science, Elsevier, 2017, 108, pp.848-856. ⟨10.1016/j.procs.2017.05.168⟩. ⟨hal-01691499⟩

Share

Metrics

Record views

369