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|Title:||Galerkin methods for one-dimensional advection diffusion equation||Authors:||Yaacoub, Samar||Advisors:||Sabat, Mira||Subjects:||Galerkin methods||Issue Date:||2019||Abstract:||
We consider the finite element Galerkin method to solve the one-dimensional advection diffusion equation with homogeneous Dirichlet conditions. We start by introducing the method for the steady heat equation and then we present the Petrov-Galerkin modifications associated with the addition of an advection term. As last step, we discuss some techniques used to deal with the introduction of a time-dependent derivative. An in-house code is written in C++ to model the equations leading to the full advection diffusion equation. An example is considered for each one of the 3 cases and the numerical solution obtained from the code is plotted along with the exact solution. The post processing is done in Matlab.
Includes bibliographical references (p. 50-51).
Supervised by Dr. Mira Sabat.
|URI:||https://scholarhub.balamand.edu.lb/handle/uob/3841||Rights:||This object is protected by copyright, and is made available here for research and educational purposes. Permission to reuse, publish, or reproduce the object beyond the personal and educational use exceptions must be obtained from the copyright holder||Ezproxy URL:||Link to full text||Type:||Project|
|Appears in Collections:||UOB Theses and Projects|
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