A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature

Singh, MK and Singh, G and Natesan, S (2020) A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature. In: Journal of Applied Mathematics and Computing .

PDF jou_app_mat_com_2020.pdf - Published Version Restricted to Registered users only Download (589kB) | Request a copy

Abstract

We discuss the superconvergence analysis of the Galerkin finite element method for the singularly perturbed coupled system of both reaction�diffusion and convection�diffusion types. The superconvergence study is carried out by using linear finite element, and it is shown to be second-order (up to a logarithmic factor) uniformly convergent in the suitable discrete energy norm. We have conducted some numerical experiments for the system of reaction�diffusion and system of convection�diffusion models, which validate the theoretical results. © 2020, Korean Society for Informatics and Computational Applied Mathematics.

Item Type:	Journal Article
Publication:	Journal of Applied Mathematics and Computing
Publisher:	Springer
Additional Information:	The copyright of this article belongs to Springer
Keywords:	Finite element method; Galerkin methods, Diffusion and convection; Galerkin finite element methods; Linear finite elements; Multiscale nature; Numerical experiments; Singularly perturbed; Singularly perturbed systems; Uniformly convergent, Diffusion
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	10 Nov 2020 06:20
Last Modified:	10 Nov 2020 06:20
URI:	http://eprints.iisc.ac.in/id/eprint/66701

Actions (login required)

View Item