TY - JOUR AU - Helal, K. M. PY - 2016/01/01 Y2 - 2024/03/28 TI - Numerical Solutions of Steady Tensorial Transport Equations Using Discontinuous Galerkin Method Implemented in FreeFem++ JF - Journal of Scientific Research JA - J. Sci. Res. VL - 8 IS - 1 SE - Section A: Physical and Mathematical Sciences DO - 10.3329/jsr.v8i1.24960 UR - https://banglajol.info/index.php/JSR/article/view/24960 SP - 29-39 AB - <p align="center"><strong>Abstract</strong></p><p>The main purpose of this paper is to approximate the solution of the steady tensorial transport equations using discontinuous Galerkin finite element method implemented with the finite element solver FreeFem++. After introducing the formulations of the tensorial transport equations, the analysis of its componentwise equations, i.e., advection-reaction equations have been discussed. Discretizing the transport problem using discontinuous Galerkin finite element method, the iterative fixed-point method is used to obtain the solutions. We present the numerical simulations of two-dimensional benchmark problem and observe the instability of elasticity. All the simulations are done using the script developed in FreeFem++.</p> ER -