Full-Discrete Weak Galerkin Finite Element Method for Solving Diffusion-Convection Problem.

Authors

  • Asmaa Hamdan College of Education University of Basrah, Basrah,

DOI:

https://doi.org/10.24297/jam.v13i4.6312

Keywords:

full discrete weak Galerkin finite element method, error estimate, conservation law, onvection diffusion equation

Abstract

This paper applied and analyzes full discrete weak Galerkin (WG) finite element method for non steady two dimensional convection-diffusion problem on conforming polygon. We approximate the time derivative by backward finite difference method and the elliptic form by WG finite element method. The main idea of WG finite element methods is the use of weak functions and their corresponding discrete weak derivatives in standard weak form of the model problem. The theoretical evidence proved that the error estimate in  norm, the properties of the bilinear form, (v-elliptic and continuity), stability, and the energy conservation law.

Downloads

Download data is not yet available.

Author Biography

Asmaa Hamdan, College of Education University of Basrah, Basrah,

Dep. of Mathematics

Published

2017-09-20

How to Cite

Hamdan, A. (2017). Full-Discrete Weak Galerkin Finite Element Method for Solving Diffusion-Convection Problem. JOURNAL OF ADVANCES IN MATHEMATICS, 13(4), 7333-7345. https://doi.org/10.24297/jam.v13i4.6312

Issue

Section

Articles