University of Michigan
The Finite Element Method for Problems in Physics
University of Michigan

The Finite Element Method for Problems in Physics

Taught in English

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66,337 already enrolled

Course

Gain insight into a topic and learn the fundamentals

4.6

(533 reviews)

Intermediate level
Some related experience required
61 hours to complete
3 weeks at 20 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Become familiar with the finite element method as applicable to a range of problems in physics and engineering.

  • Create simple C++ code.

Details to know

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Assessments

12 quizzes

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There are 13 modules in this course

This unit is an introduction to a simple one-dimensional problem that can be solved by the finite element method.

What's included

11 videos3 readings1 quiz

In this unit you will be introduced to the approximate, or finite-dimensional, weak form for the one-dimensional problem.

What's included

14 videos1 quiz

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.

What's included

14 videos1 quiz1 programming assignment

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.

What's included

17 videos1 quiz

This unit outlines the mathematical analysis of the finite element method.

What's included

12 videos1 quiz

This unit develops an alternate derivation of the weak form, which is applicable to certain physical problems.

What's included

4 videos1 quiz

In this unit, we develop the finite element method for three-dimensional scalar problems, such as the heat conduction or mass diffusion problems.

What's included

24 videos1 quiz

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.

What's included

9 videos1 quiz1 programming assignment

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.

What's included

6 videos1 quiz

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.

What's included

22 videos1 quiz1 programming assignment

In this unit, we study the unsteady heat conduction, or mass diffusion, problem, as well as its finite element formulation.

What's included

27 videos1 quiz1 programming assignment

In this unit we study the problem of elastodynamics, and its finite element formulation.

What's included

9 videos1 quiz

This is a wrap-up, with suggestions for future study.

What's included

1 video2 readings

Instructor

Instructor ratings
4.7 (55 ratings)
Krishna Garikipati, Ph.D.
University of Michigan
1 Course66,337 learners

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4.6

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