# The Finite Element Method for Problems in Physics

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39 h
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Source
• From www.coursera.org
Conditions
• Self-paced
• Free Access
• Fee-based Certificate
• 13 Sequences
• Intermediate Level

## Course details

### Syllabus

• Week 1 - 1
This unit is an introduction to a simple one-dimensional problem that can be solved by the finite element method.
• Week 2 - 2
In this unit you will be introduced to the approximate, or finite-dimensional, weak form for the one-dimensional problem.
• Week 3 - 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.
• Week 4 - 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.
• Week 5 - 5
This unit outlines the mathematical analysis of the finite element method.
• Week 6 - 6
This unit develops an alternate derivation of the weak form, which is applicable to certain physical problems.
• Week 7 - 7
In this unit, we develop the finite element method for three-dimensional scalar problems, such as the heat conduction or mass diffusion problems.
• Week 8 - 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.
• Week 9 - 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.
• Week 10 - 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.
• Week 11 - 11
In this unit, we study the unsteady heat conduction, or mass diffusion, problem, as well as its finite element formulation.
• Week 12 - 12
In this unit we study the problem of elastodynamics, and its finite element formulation.
• Week 13 - 113
This is a wrap-up, with suggestions for future study.

None.

### Instructors

Krishna Garikipati, Ph.D.
Professor of Mechanical Engineering, College of Engineering - Professor of Mathematics, College of Literature, Science and the Arts

### Editor

L'Université du Michigan (UM, UMich ou simplement Michigan) est une université publique de recherche située à Ann Arbor, dans le Michigan, aux États-Unis. Fondée en 1817, l'université est la plus ancienne et la plus grande du Michigan.

La mission de l'université du Michigan est de servir les habitants du Michigan et le monde entier en occupant une place prépondérante dans la création, la communication, la préservation et l'application des connaissances, de l'art et des valeurs académiques, et en formant des dirigeants et des citoyens qui défieront le présent et enrichiront l'avenir.

### Platform

Coursera - это цифровая компания, предлагающая массовые открытые онлайн-курсы, основанные учителями компьютеров Эндрю Нгом и Стэнфордским университетом Дафни Коллер, расположенные в Маунтин-Вью, штат Калифорния.

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