A Posteriori Error Estimates for Hughes Stabilized SUPG Technique and Adaptive Refinement for a Convection-Diffusion Problem
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The motive of the present work is to propose an adaptive numerical technique for singularly perturbed convection-diffusion problem in two dimensions.
It has been observed that for small singular perturbation parameter, the problem under consideration displays sharp interior or boundary layers in the solution which cannot be captured by standard numerical techniques.
In the present work, Hughes stabilization strategy along with the streamline upwind/Petrov-Galerkin (SUPG) method has been proposed to capture these boundary layers.
Reliable a posteriori error estimates in energy norm on anisotropic meshes have been developed for the proposed scheme.
But these estimates prove to be dependent on the singular perturbation parameter.
Therefore, to overcome the difficulty of oscillations in the solution, an efficient adaptive mesh refinement algorithm has been proposed.
Numerical experiments have been performed to test the efficiency of the proposed algorithm.
American Psychological Association (APA)
Kaur, Brehmit& Sangwan, Vivek. 2020. A Posteriori Error Estimates for Hughes Stabilized SUPG Technique and Adaptive Refinement for a Convection-Diffusion Problem. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127293
Modern Language Association (MLA)
Kaur, Brehmit& Sangwan, Vivek. A Posteriori Error Estimates for Hughes Stabilized SUPG Technique and Adaptive Refinement for a Convection-Diffusion Problem. Advances in Mathematical Physics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1127293
American Medical Association (AMA)
Kaur, Brehmit& Sangwan, Vivek. A Posteriori Error Estimates for Hughes Stabilized SUPG Technique and Adaptive Refinement for a Convection-Diffusion Problem. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127293
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127293