Computer Methods in Dynamics

Instructor: Reza Abedi

Course Content: This course is intended to serve as a sequel to an introductory finite element or computational mechanics courses. It is designed to deepen student’s understanding of the characteristics of elliptic, parabolic, and hyperbolic partial differential equations (PDE) and get familiar with solution techniques for dynamic problems.

Textbook: References:

[Bathe, 2006] Bathe, K.-J. (2006). Finite element procedures. Klaus-Jurgen Bathe. [Chapra and Canale, 2010] Chapra, S. C. and Canale, R. P. (2010). Numerical methods for

engineers, volume 2. McGraw-Hill. 6th edition.

[Farlow, 2012] Farlow, S. J. (2012). Partial differential equations for scientists and engineers.

Courier  Corporation.

[Hughes, 2012] Hughes, T. J. (2012). The finite element method: linear static and dynamic finite element analysis. Courier Corporation.

[Levandosky, 2002] Levandosky, J. (2002). Math 220A, partial differential equations of ap- plied mathematics, Stanford university. http://web.stanford.edu/class/math220a/ lecturenotes.html.

[LeVeque, 2002] LeVeque, R. L. (2002). Finite Volume Methods for Hyperbolic Problems.

Cambridge University Press.

[Loret, 2008] Loret, B. (2008). Notes partial differential equations PDEs, institut national polytechnique de grenoble (inpg). http://geo.hmg.inpg.fr/loret/enseee/maths/ loret_maths-EEE.html#TOP.

[Strikwerda, 2004] Strikwerda, J. C. (2004). Finite difference schemes and partial differential equations. SIAM.

You can view a sample video of the course below. You must purchase the course to unlock all of the lecture sessions.