Petrov Weak Galerkin Finite Element Method for Nonlinear Solving Convection Diffusion Problem

Authors

  • Wafaa S. Mohammed

Keywords:

Weak Galerkin Finite Element, Nonlinear Convection Diffusion equation, PWG Finite Element method, the Stability, the error analysis.

Abstract

In this paper, described and analysis, For the nonlinear Convection-Diffusion issue, the Petrov Weak Galerkin finite element (PWGFE) approach established that the bilinear form of is   −elliptic. The semi-discrete stability and error estimate are demonstrated, and the approximations have errors of , respectively. The convergence and correctness of the PWGFE approach are confirmed by the numerical findings.

Published

2024-10-09

How to Cite

Wafaa S. Mohammed. (2024). Petrov Weak Galerkin Finite Element Method for Nonlinear Solving Convection Diffusion Problem . The International Journal of Multiphysics, 18(3), 1546 - 1561. Retrieved from https://www.themultiphysicsjournal.com/index.php/ijm/article/view/1457

Issue

Vol. 18 No. 3 (2024)

Section

Articles