Open AccessNumerical Analysis of Least-Squares Group Finite Element Method for Coupled Burgers' Problem
Author(s) -
Najat Jalil Noon
Publication year - 2021
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.2021.18.4(suppl.).1521
Subject(s) - finite element method , mathematics , discretization , mixed finite element method , variable (mathematics) , extended finite element method , least squares function approximation , group (periodic table) , euler's formula , matlab , mathematical analysis , element (criminal law) , backward euler method , stability (learning theory) , computer science , structural engineering , law , physics , statistics , quantum mechanics , estimator , machine learning , engineering , political science , operating system
In this paper, a least squares group finite element method for solving coupled Burgers' problem in 2-D is presented. A fully discrete formulation of least squares finite element method is analyzed, the backward-Euler scheme for the time variable is considered, the discretization with respect to space variable is applied as biquadratic quadrangular elements with nine nodes for each element. The continuity, ellipticity, stability condition and error estimate of least squares group finite element method are proved. The theoretical results show that the error estimate of this method is . The numerical results are compared with the exact solution and other available literature when the convection-dominated case to illustrate the efficiency of the proposed method that are solved through implementation in MATLAB R2018a.