- 1
- This unit is an introduction to a simple one-dimensional problem that can be solved by the finite element method.
- 2
- In this unit you will be introduced to the approximate, or finite-dimensional, weak form for the one-dimensional problem.
- 3
- In this unit, you will write the finite-dimensional weak form in a matrix-vector form. You also will be introduced to coding in the deal.ii framework.
- 4
- This unit develops further details on boundary conditions, higher-order basis functions, and numerical quadrature. You also will learn about the templates for the first coding assignment.
- 5
- This unit outlines the mathematical analysis of the finite element method.
- 6
- This unit develops an alternate derivation of the weak form, which is applicable to certain physical problems.
- 7
- In this unit, we develop the finite element method for three-dimensional scalar problems, such as the heat conduction or mass diffusion problems.
- 8
- In this unit, you will complete some details of the three-dimensional formulation that depend on the choice of basis functions, as well as be introduced to the second coding assignment.
- 9
- In this unit, we take a detour to study the two-dimensional formulation for scalar problems, such as the steady state heat or diffusion equations.
- 10
- This unit introduces the problem of three-dimensional, linearized elasticity at steady state, and also develops the finite element method for this problem. Aspects of the code templates are also examined.
- 11
- In this unit, we study the unsteady heat conduction, or mass diffusion, problem, as well as its finite element formulation.
- 12
- In this unit we study the problem of elastodynamics, and its finite element formulation.
- 13
- This is a wrap-up, with suggestions for future study.
