MATH892 - Topics in Computational Mathematics - Finite Element Methods
Course notes and codes for an eight-lecture module within MATH892 on use of finite elements to solve a fluid-structure interaction problem: flow in a flexible tube. (prepared by Sorin Mitran)
Course notes
Lect. 1 3/16 |
Overview of finite element methods. Solving the Laplace equation. |
Lect. 2 3/18 |
Finite element formulations. Elasticity equations. |
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Lect. 3 3/20 |
Variational formulations in dynamics, elasticity |
Lect. 4 3/23 |
Elasticity displacement formulation |
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Lect. 5 3/25 |
Finite element methods for Navier-Stokes |
Lect. 6 3/27 |
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Lect. 7 3/30 |
Discontinuous Galerkin |
Lect. 8 4/01 |
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Software resources
Bibliography
* The Mathematical Theory of Finite Element Methods, Susanne Brenner and Ridgway Scott, Online access via Springer link for UNC users
* Finite Elements - Theory, Fast Solvers, and Applications in Elasticity Theory, Dietrich Braess, Cambridge University Press, 2007.